1
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Backofen R, Altawil AYA, Salvalaglio M, Voigt A. Nonequilibrium hyperuniform states in active turbulence. Proc Natl Acad Sci U S A 2024; 121:e2320719121. [PMID: 38848299 PMCID: PMC11181138 DOI: 10.1073/pnas.2320719121] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/01/2023] [Accepted: 05/04/2024] [Indexed: 06/09/2024] Open
Abstract
We demonstrate that the complex spatiotemporal structure in active fluids can feature characteristics of hyperuniformity. Using a hydrodynamic model, we show that the transition from hyperuniformity to nonhyperuniformity and antihyperuniformity depends on the strength of active forcing and can be related to features of active turbulence without and with scaling characteristics of inertial turbulence. Combined with identified signatures of Levy walks and nonuniversal diffusion in these systems, this allows for a biological interpretation and the speculation of nonequilibrium hyperuniform states in active fluids as optimal states with respect to robustness and strategies of evasion and foraging.
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Affiliation(s)
- Rainer Backofen
- Institute of Scientific Computing, Faculty of Mathematics, Technische Universität Dresden, Dresden01062
| | - Abdelrahman Y. A. Altawil
- Institute of Scientific Computing, Faculty of Mathematics, Technische Universität Dresden, Dresden01062
| | - Marco Salvalaglio
- Institute of Scientific Computing, Faculty of Mathematics, Technische Universität Dresden, Dresden01062
- Dresden Centre for Computational Materials Science, Technische Universität Dresden, 01062Dresden, Germany
| | - Axel Voigt
- Institute of Scientific Computing, Faculty of Mathematics, Technische Universität Dresden, Dresden01062
- Dresden Centre for Computational Materials Science, Technische Universität Dresden, 01062Dresden, Germany
- Center of Systems Biology Dresden, 01307Dresden, Germany
- Cluster of Excellence, Physics of Life, Technische Universität Dresden, 01307Dresden, Germany
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2
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Zhuang H, Chen D, Liu L, Keeney D, Zhang G, Jiao Y. Vibrational properties of disordered stealthy hyperuniform 1D atomic chains. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2024; 36:285703. [PMID: 38579735 DOI: 10.1088/1361-648x/ad3b5c] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/04/2024] [Accepted: 04/05/2024] [Indexed: 04/07/2024]
Abstract
Disorder hyperuniformity is a recently discovered exotic state of many-body systems that possess a hidden order in between that of a perfect crystal and a completely disordered system. Recently, this novel disordered state has been observed in a number of quantum materials including amorphous 2D graphene and silica, which are endowed with unexpected electronic transport properties. Here, we numerically investigate 1D atomic chain models, including perfect crystalline, disordered stealthy hyperuniform (SHU) as well as randomly perturbed atom packing configurations to obtain a quantitative understanding of how the unique SHU disorder affects the vibrational properties of these low-dimensional materials. We find that the disordered SHU chains possess lower cohesive energies compared to the randomly perturbed chains, implying their potential reliability in experiments. Our inverse partition ratio (IPR) calculations indicate that the SHU chains can support fully delocalized states just like perfect crystalline chains over a wide range of frequencies, i.e.ω∈(0,100)cm-1, suggesting superior phonon transport behaviors within these frequencies, which was traditionally considered impossible in disordered systems. Interestingly, we observe the emergence of a group of highly localized states associated withω∼200cm-1, which is characterized by a significant peak in the IPR and a peak in phonon density of states at the corresponding frequency, and is potentially useful for decoupling electron and phonon degrees of freedom. These unique properties of disordered SHU chains have implications in the design and engineering of novel quantum materials for thermal and phononic applications.
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Affiliation(s)
- Houlong Zhuang
- School for Engineering of Matter, Transport and Energy, Arizona State University, Tempe, AZ 85287, United States of America
| | - Duyu Chen
- Materials Research Laboratory, University of California, Santa Barbara, CA 93106, United States of America
| | - Lei Liu
- School for Engineering of Matter, Transport and Energy, Arizona State University, Tempe, AZ 85287, United States of America
| | - David Keeney
- School for Engineering of Matter, Transport and Energy, Arizona State University, Tempe, AZ 85287, United States of America
| | - Ge Zhang
- Department of Physics, City University of Hong Kong, Hong Kong Special Administrative Region of China, People's Republic of China
| | - Yang Jiao
- School for Engineering of Matter, Transport and Energy, Arizona State University, Tempe, AZ 85287, United States of America
- Department of Physics, Arizona State University, Tempe, AZ 85287, United States of America
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3
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Minogue D, Eskildsen MR, Reichhardt C, Reichhardt CJO. Reversible, irreversible, and mixed regimes for periodically driven disks in random obstacle arrays. Phys Rev E 2024; 109:044905. [PMID: 38755905 DOI: 10.1103/physreve.109.044905] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/31/2024] [Accepted: 03/27/2024] [Indexed: 05/18/2024]
Abstract
We examine an assembly of repulsive disks interacting with a random obstacle array under a periodic drive and find a transition from reversible to irreversible dynamics as a function of drive amplitude or disk density. At low densities and drives, the system rapidly forms a reversible state where the disks return to their exact positions at the end of each cycle. In contrast, at high amplitudes or high densities, the system enters an irreversible state where the disks exhibit normal diffusion. Between these two regimes, there can be an intermediate irreversible state where most of the system is reversible, but localized irreversible regions are present that are prevented from spreading through the system due to a screening effect from the obstacles. We also find states that we term "combinatorial reversible states" in which the disks return to their original positions after multiple driving cycles. In these states, individual disks exchange positions but form the same configurations during the subcycles of the larger reversible cycle.
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Affiliation(s)
- D Minogue
- Department of Physics, University of Notre Dame, Notre Dame, Indiana 46656, USA
| | - M R Eskildsen
- Department of Physics, University of Notre Dame, Notre Dame, Indiana 46656, USA
| | - C Reichhardt
- Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - C J O Reichhardt
- Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
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4
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Ikeda H. Correlated noise and critical dimensions. Phys Rev E 2023; 108:064119. [PMID: 38243493 DOI: 10.1103/physreve.108.064119] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/06/2023] [Accepted: 11/15/2023] [Indexed: 01/21/2024]
Abstract
In equilibrium, the Mermin-Wagner theorem prohibits the continuous symmetry breaking for all dimensions d≤2. In this work, we discuss that this limitation can be circumvented in nonequilibrium systems driven by the spatiotemporally long-range anticorrelated noise. We first compute the lower and upper critical dimensions of the O(n) model driven by the spatiotemporally correlated noise by means of the dimensional analysis. Next we consider the spherical model, which corresponds to the large-n limit of the O(n) model and allows us to compute the critical dimensions and critical exponents, analytically. Both results suggest that the critical dimensions increase when the noise is positively correlated in space and time and decrease when anticorrelated. We also report that the spherical model with the correlated noise shows the hyperuniformity and giant number fluctuation even well above the critical point.
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Affiliation(s)
- Harukuni Ikeda
- Department of Physics, Gakushuin University, 1-5-1 Mejiro, Toshima-ku, Tokyo 171-8588, Japan
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5
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Lei Y, Ni R. How does a hyperuniform fluid freeze? Proc Natl Acad Sci U S A 2023; 120:e2312866120. [PMID: 37988461 PMCID: PMC10691242 DOI: 10.1073/pnas.2312866120] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/27/2023] [Accepted: 09/29/2023] [Indexed: 11/23/2023] Open
Abstract
All phase transitions can be categorized into two different types: continuous and discontinuous phase transitions. Discontinuous phase transitions are normally accompanied with significant structural changes, and nearly all of them have the kinetic pathway of nucleation and growth, if the system does not suffer from glassy dynamics. Here, in a system of barrier-controlled reactive particles, we find that the discontinuous freezing transition of a nonequilibrium hyperuniform fluid into an absorbing state does not have the kinetic pathway of nucleation and growth, and the transition is triggered by long-wavelength fluctuations. The transition rate decreases with increasing the system size, which suggests that the metastable hyperuniform fluid could be kinetically stable in an infinitely large system. This challenges the common understanding of metastability in discontinuous phase transitions. Moreover, we find that the "metastable yet kinetically stable" hyperuniform fluid features a scaling in the structure factor [Formula: see text] in 2D, which is the third dynamic hyperuniform state in addition to the critical hyperuniform state with [Formula: see text] and the nonequilibrium hyperuniform fluid with [Formula: see text].
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Affiliation(s)
- Yusheng Lei
- School of Chemistry, Chemical Engineering and Biotechnology, Nanyang Technological University, Singapore637459, Singapore
| | - Ran Ni
- School of Chemistry, Chemical Engineering and Biotechnology, Nanyang Technological University, Singapore637459, Singapore
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6
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Shi W, Keeney D, Chen D, Jiao Y, Torquato S. Computational design of anisotropic stealthy hyperuniform composites with engineered directional scattering properties. Phys Rev E 2023; 108:045306. [PMID: 37978628 DOI: 10.1103/physreve.108.045306] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/25/2023] [Accepted: 09/18/2023] [Indexed: 11/19/2023]
Abstract
Disordered hyperuniform materials are an emerging class of exotic amorphous states of matter that endow them with singular physical properties, including large isotropic photonic band gaps, superior resistance to fracture, and nearly optimal electrical and thermal transport properties, to name but a few. Here we generalize the Fourier-space-based numerical construction procedure for designing and generating digital realizations of isotropic disordered hyperuniform two-phase heterogeneous materials (i.e., composites) developed by Chen and Torquato [Acta Mater. 142, 152 (2018)1359-645410.1016/j.actamat.2017.09.053] to anisotropic microstructures with targeted spectral densities. Our generalized construction procedure explicitly incorporates the vector-dependent spectral density function χ[over ̃]_{_{V}}(k) of arbitrary form that is realizable. We demonstrate the utility of the procedure by generating a wide spectrum of anisotropic stealthy hyperuniform microstructures with χ[over ̃]_{_{V}}(k)=0 for k∈Ω, i.e., complete suppression of scattering in an "exclusion" region Ω around the origin in Fourier space. We show how different exclusion-region shapes with various discrete symmetries, including circular-disk, elliptical-disk, square, rectangular, butterfly-shaped, and lemniscate-shaped regions of varying size, affect the resulting statistically anisotropic microstructures as a function of the phase volume fraction. The latter two cases of Ω lead to directionally hyperuniform composites, which are stealthy hyperuniform only along certain directions and are nonhyperuniform along others. We find that while the circular-disk exclusion regions give rise to isotropic hyperuniform composite microstructures, the directional hyperuniform behaviors imposed by the shape asymmetry (or anisotropy) of certain exclusion regions give rise to distinct anisotropic structures and degree of uniformity in the distribution of the phases on intermediate and large length scales along different directions. Moreover, while the anisotropic exclusion regions impose strong constraints on the global symmetry of the resulting media, they can still possess structures at a local level that are nearly isotropic. Both the isotropic and anisotropic hyperuniform microstructures associated with the elliptical-disk, square, and rectangular Ω possess phase-inversion symmetry over certain range of volume fractions and a percolation threshold ϕ_{c}≈0.5. On the other hand, the directionally hyperuniform microstructures associated with the butterfly-shaped and lemniscate-shaped Ω do not possess phase-inversion symmetry and percolate along certain directions at much lower volume fractions. We also apply our general procedure to construct stealthy nonhyperuniform systems. Our construction algorithm enables one to control the statistical anisotropy of composite microstructures via the shape, size, and symmetries of Ω, which is crucial to engineering directional optical, transport, and mechanical properties of two-phase composite media.
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Affiliation(s)
- Wenlong Shi
- Materials Science and Engineering, Arizona State University, Tempe, Arizona 85287, USA
| | - David Keeney
- Materials Science and Engineering, Arizona State University, Tempe, Arizona 85287, USA
| | - Duyu Chen
- Materials Research Laboratory, University of California, Santa Barbara, California 93106, USA
| | - Yang Jiao
- Materials Science and Engineering, Arizona State University, Tempe, Arizona 85287, USA
- Department of Physics, Arizona State University, Tempe, Arizona 85287, USA
| | - Salvatore Torquato
- Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA
- Department of Physics, Princeton University, Princeton, New Jersey 08544, USA
- Princeton Institute of Materials, Princeton University, Princeton, New Jersey 08544, USA
- Program in Applied and Computational Mathematics, Princeton University, Princeton, New Jersey 08544, USA
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7
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Galliano L, Cates ME, Berthier L. Two-Dimensional Crystals far from Equilibrium. PHYSICAL REVIEW LETTERS 2023; 131:047101. [PMID: 37566855 DOI: 10.1103/physrevlett.131.047101] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/06/2023] [Accepted: 05/15/2023] [Indexed: 08/13/2023]
Abstract
When driven by nonequilibrium fluctuations, particle systems may display phase transitions and physical behavior with no equilibrium counterpart. We study a two-dimensional particle model initially proposed to describe driven non-Brownian suspensions undergoing nonequilibrium absorbing phase transitions. We show that when the transition occurs at large density, the dynamics produces long-range crystalline order. In the ordered phase, long-range translational order is observed because equipartition of energy is lacking, phonons are suppressed, and density fluctuations are hyperuniform. Our study offers an explicit microscopic model where nonequilibrium violations of the Mermin-Wagner theorem stabilize crystalline order in two dimensions.
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Affiliation(s)
- Leonardo Galliano
- Laboratoire Charles Coulomb (L2C), Université de Montpellier, CNRS, 34095 Montpellier, France
| | - Michael E Cates
- Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom
| | - Ludovic Berthier
- Laboratoire Charles Coulomb (L2C), Université de Montpellier, CNRS, 34095 Montpellier, France
- Yusuf Hamied Department of Chemistry, University of Cambridge, Lensfield Road, Cambridge CB2 1EW, United Kingdom
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8
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Omar AK, Klymko K, GrandPre T, Geissler PL, Brady JF. Tuning nonequilibrium phase transitions with inertia. J Chem Phys 2023; 158:074904. [PMID: 36813709 DOI: 10.1063/5.0138256] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/01/2023] Open
Abstract
In striking contrast to equilibrium systems, inertia can profoundly alter the structure of active systems. Here, we demonstrate that driven systems can exhibit effective equilibrium-like states with increasing particle inertia, despite rigorously violating the fluctuation-dissipation theorem. Increasing inertia progressively eliminates motility-induced phase separation and restores equilibrium crystallization for active Brownian spheres. This effect appears to be general for a wide class of active systems, including those driven by deterministic time-dependent external fields, whose nonequilibrium patterns ultimately disappear with increasing inertia. The path to this effective equilibrium limit can be complex, with finite inertia sometimes acting to accentuate nonequilibrium transitions. The restoration of near equilibrium statistics can be understood through the conversion of active momentum sources to passive-like stresses. Unlike truly equilibrium systems, the effective temperature is now density dependent, the only remnant of the nonequilibrium dynamics. This density-dependent temperature can in principle introduce departures from equilibrium expectations, particularly in response to strong gradients. Our results provide additional insight into the effective temperature ansatz while revealing a mechanism to tune nonequilibrium phase transitions.
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Affiliation(s)
- Ahmad K Omar
- Department of Materials Science and Engineering, University of California, Berkeley, California 94720, USA
| | - Katherine Klymko
- NERSC, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - Trevor GrandPre
- Department of Physics, University of California, Berkeley, California 94720, USA
| | - Phillip L Geissler
- Department of Chemistry, University of California, Berkeley, California 94720, USA
| | - John F Brady
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, USA
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9
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Chen Y, Wang L, Zhang TH. Tunable collective dynamics of ellipsoidal Quincke particles. SOFT MATTER 2023; 19:512-518. [PMID: 36541151 DOI: 10.1039/d2sm01238c] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/17/2023]
Abstract
Collective behaviors in active systems become dramatically complicated in the presence of chirality. In this study, we show that ellipsoidal Quincke particles driven by an electric field exhibit flexible and tunable chirality because of the tilting of the spinning axis. As the tilting torque decreases with the increase of angular speed, the motion of individual particles transforms from localized circle motion to global rolling. However, because of the anisotropic shape and the resulting anisotropic polar interactions, it is dynamically easier for ellipsoids to bind and form rotating structures rather than to align their velocities. In dense systems, the suppression of velocity aligning produces transient dense clusters which produce dynamic heterogeneity. The formation and dissociation of dense clusters prohibit the emergence of large-scale collective motions and limit the amplitude of density fluctuations. These findings demonstrate that collective dynamics and thus the scale of density fluctuations in active systems with tunable chirality can be well controlled. This has potential applications in exploring disordered hyperuniform states.
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Affiliation(s)
- Yu Chen
- Center for Soft Condensed Matter Physics and Interdisciplinary Research, Soochow University, Suzhou, 215006, P. R. China.
- School of Physical Science and Technology, Soochow University, Suzhou, 215006, P. R. China
| | - Lei Wang
- Center for Soft Condensed Matter Physics and Interdisciplinary Research, Soochow University, Suzhou, 215006, P. R. China.
- School of Physical Science and Technology, Soochow University, Suzhou, 215006, P. R. China
| | - Tian Hui Zhang
- Center for Soft Condensed Matter Physics and Interdisciplinary Research, Soochow University, Suzhou, 215006, P. R. China.
- School of Physical Science and Technology, Soochow University, Suzhou, 215006, P. R. China
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10
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Zhang B, Snezhko A. Hyperuniform Active Chiral Fluids with Tunable Internal Structure. PHYSICAL REVIEW LETTERS 2022; 128:218002. [PMID: 35687470 DOI: 10.1103/physrevlett.128.218002] [Citation(s) in RCA: 7] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/22/2022] [Accepted: 05/17/2022] [Indexed: 06/15/2023]
Abstract
Large density fluctuations observed in active systems and hyperuniformity are two seemingly incompatible phenomena. However, the formation of hyperuniform states has been recently predicted in nonequilibrium fluids formed by chiral particles performing circular motion with the same handedness. Here we report evidence of hyperuniformity realized in a chiral active fluid comprised of pear-shaped Quincke rollers of arbitrary handedness. We show that hyperuniformity and large density fluctuations, triggered by dynamic clustering, coexist in this system at different length scales. The system loses its hyperuniformity as the curvature of particles' motion increases, transforming them into localized spinners. Our results experimentally demonstrate a novel hyperuniform active fluid and provide new insights into an interplay between chirality, activity, and hyperuniformity.
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Affiliation(s)
- Bo Zhang
- Materials Science Division, Argonne National Laboratory, 9700 South Cass Avenue, Lemont, Illinois 60439, USA
| | - Alexey Snezhko
- Materials Science Division, Argonne National Laboratory, 9700 South Cass Avenue, Lemont, Illinois 60439, USA
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11
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Tavakoli N, Spalding R, Lambertz A, Koppejan P, Gkantzounis G, Wan C, Röhrich R, Kontoleta E, Koenderink AF, Sapienza R, Florescu M, Alarcon-Llado E. Over 65% Sunlight Absorption in a 1 μm Si Slab with Hyperuniform Texture. ACS PHOTONICS 2022; 9:1206-1217. [PMID: 35480493 PMCID: PMC9026274 DOI: 10.1021/acsphotonics.1c01668] [Citation(s) in RCA: 5] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 10/29/2021] [Indexed: 06/14/2023]
Abstract
Thin, flexible, and invisible solar cells will be a ubiquitous technology in the near future. Ultrathin crystalline silicon (c-Si) cells capitalize on the success of bulk silicon cells while being lightweight and mechanically flexible, but suffer from poor absorption and efficiency. Here we present a new family of surface texturing, based on correlated disordered hyperuniform patterns, capable of efficiently coupling the incident spectrum into the silicon slab optical modes. We experimentally demonstrate 66.5% solar light absorption in free-standing 1 μm c-Si layers by hyperuniform nanostructuring for the spectral range of 400 to 1050 nm. The absorption equivalent photocurrent derived from our measurements is 26.3 mA/cm2, which is far above the highest found in literature for Si of similar thickness. Considering state-of-the-art Si PV technologies, we estimate that the enhanced light trapping can result in a cell efficiency above 15%. The light absorption can potentially be increased up to 33.8 mA/cm2 by incorporating a back-reflector and improved antireflection, for which we estimate a photovoltaic efficiency above 21% for 1 μm thick Si cells.
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Affiliation(s)
- Nasim Tavakoli
- Center
for Nanophotonics, AMOLF, Science Park 104, 1098XG Amsterdam, The Netherlands
| | - Richard Spalding
- Department
of Physics, Advanced Technology Institute, University of Surrey, GU2 7XH Guildford, United Kingdom
| | - Alexander Lambertz
- Center
for Nanophotonics, AMOLF, Science Park 104, 1098XG Amsterdam, The Netherlands
| | - Pepijn Koppejan
- Center
for Nanophotonics, AMOLF, Science Park 104, 1098XG Amsterdam, The Netherlands
| | - Georgios Gkantzounis
- Department
of Physics, Advanced Technology Institute, University of Surrey, GU2 7XH Guildford, United Kingdom
| | - Chenglong Wan
- Department
of Physics, Advanced Technology Institute, University of Surrey, GU2 7XH Guildford, United Kingdom
| | - Ruslan Röhrich
- Center
for Nanophotonics, AMOLF, Science Park 104, 1098XG Amsterdam, The Netherlands
- Advanced
Research Center for Nanolithography, Science Park 106, 1098XG Amsterdam, The Netherlands
| | - Evgenia Kontoleta
- Center
for Nanophotonics, AMOLF, Science Park 104, 1098XG Amsterdam, The Netherlands
| | - A. Femius Koenderink
- Center
for Nanophotonics, AMOLF, Science Park 104, 1098XG Amsterdam, The Netherlands
| | - Riccardo Sapienza
- The
Blackett Laboratory, Department of Physics, Imperial College London, London SW7 2BW, United Kingdom
| | - Marian Florescu
- Department
of Physics, Advanced Technology Institute, University of Surrey, GU2 7XH Guildford, United Kingdom
| | - Esther Alarcon-Llado
- Center
for Nanophotonics, AMOLF, Science Park 104, 1098XG Amsterdam, The Netherlands
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12
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Reichhardt C, Reichhardt C. Reversible to Irreversible Transitions for Cyclically Driven Particles on Periodic Obstacle Arrays. J Chem Phys 2022; 156:124901. [DOI: 10.1063/5.0087916] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
We examine the collective dynamics of disks moving through a square array of obstacles under cyclic square wave driving. Below a critical density we find that system organizes into a reversible state in which the disks return to the same positions at the end of every drive cycle. Above this density, the dynamics are irreversible and the disks do not return to the same positions after each cycle. The critical density depends strongly on the angle θ between the driving direction and a symmetry axis of the obstacle array, with the highest critical densities appearing at commensurate angles such as θ=0{degree sign} and θ=45{degree sign} and the lowest critical densities falling at θ=arctan(0.618), the inverse of the golden ratio, where the flow is the most frustrated. As the density increases, the number of cycles required to reach a reversible state grows as a power law with an exponent near ν=1.36, similar to what is found in periodically driven colloidal and superconducting vortex systems.
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Affiliation(s)
| | - Cynthia Reichhardt
- Theoretical Division, Los Alamos National Laboratory, United States of America
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13
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Hyperuniformity and phase enrichment in vortex and rotor assemblies. Nat Commun 2022; 13:804. [PMID: 35145099 PMCID: PMC8831603 DOI: 10.1038/s41467-022-28375-9] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/13/2021] [Accepted: 01/17/2022] [Indexed: 11/30/2022] Open
Abstract
Ensembles of particles rotating in a two-dimensional fluid can exhibit chaotic dynamics yet develop signatures of hidden order. Such rotors are found in the natural world spanning vastly disparate length scales — from the rotor proteins in cellular membranes to models of atmospheric dynamics. Here we show that an initially random distribution of either driven rotors in a viscous membrane, or ideal vortices with minute perturbations, spontaneously self assemble into a distinct arrangement. Despite arising from drastically different physics, these systems share a Hamiltonian structure that sets geometrical conservation laws resulting in prominent structural states. We find that the rotationally invariant interactions isotropically suppress long-wavelength fluctuations — a hallmark of a disordered hyperuniform material. With increasing area fraction, the system orders into a hexagonal lattice. In mixtures of two co-rotating populations, the stronger population will gain order from the other and both will become phase enriched. Finally, we show that classical 2D point vortex systems arise as exact limits of the experimentally accessible microscopic membrane rotors, yielding a new system through which to study topological defects. Rotor-like dynamics is observed in many natural systems, from the rotor proteins in cellular membranes to atmospheric models. Here, the authors uncover geometrical conservation laws that limit distribution of driven rotors in a membrane or a soap film and allow to predict their structural states.
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14
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Ma Z, Ni R. Dynamical clustering interrupts motility-induced phase separation in chiral active Brownian particles. J Chem Phys 2022; 156:021102. [PMID: 35032980 DOI: 10.1063/5.0077389] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
One of the most intriguing phenomena in active matter has been the gas-liquid-like motility-induced phase separation (MIPS) observed in repulsive active particles. However, experimentally, no particle can be a perfect sphere, and the asymmetric shape, mass distribution, or catalysis coating can induce an active torque on the particle, which makes it a chiral active particle. Here, using computer simulations and dynamic mean-field theory, we demonstrate that the large enough torque of circle active Brownian particles in two dimensions generates a dynamical clustering state interrupting the conventional MIPS. Multiple clusters arise from the combination of the conventional MIPS cohesion, and the circulating current caused disintegration. The nonvanishing current in non-equilibrium steady states microscopically originates from the motility "relieved" by automatic rotation, which breaks the detailed balance at the continuum level. This suggests that no equilibrium-like phase separation theory can be constructed for chiral active colloids even with tiny active torque, in which no visible collective motion exists. This mechanism also sheds light on the understanding of dynamic clusters observed in a variety of active matter systems.
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Affiliation(s)
- Zhan Ma
- School of Chemical and Biomedical Engineering, Nanyang Technological University, 637459, Singapore
| | - Ran Ni
- School of Chemical and Biomedical Engineering, Nanyang Technological University, 637459, Singapore
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15
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Wang R, Fang F, Cui J, Zheng W. Learning self-driven collective dynamics with graph networks. Sci Rep 2022; 12:500. [PMID: 35017588 PMCID: PMC8752591 DOI: 10.1038/s41598-021-04456-5] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/21/2021] [Accepted: 12/16/2021] [Indexed: 02/05/2023] Open
Abstract
Despite decades of theoretical research, the nature of the self-driven collective motion remains indigestible and controversial, while the phase transition process of its dynamic is a major research issue. Recent methods propose to infer the phase transition process from various artificially extracted features using machine learning. In this thesis, we propose a new order parameter by using machine learning to quantify the synchronization degree of the self-driven collective system from the perspective of the number of clusters. Furthermore, we construct a powerful model based on the graph network to determine the long-term evolution of the self-driven collective system from the initial position of the particles, without any manual features. Results show that this method has strong predictive power, and is suitable for various noises. Our method can provide reference for the research of other physical systems with local interactions.
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Affiliation(s)
- Rui Wang
- Institute of Public-Safety and Big Data, College of Data Science, Taiyuan University of Technology, Taiyuan, 030060, China
| | - Feiteng Fang
- Institute of Public-Safety and Big Data, College of Data Science, Taiyuan University of Technology, Taiyuan, 030060, China
| | - Jiamei Cui
- Institute of Public-Safety and Big Data, College of Data Science, Taiyuan University of Technology, Taiyuan, 030060, China
| | - Wen Zheng
- Institute of Public-Safety and Big Data, College of Data Science, Taiyuan University of Technology, Taiyuan, 030060, China.
- Center for Healthy Big Data, Changzhi Medical College, Changzhi, 046000, China.
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16
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Maegochi S, Ienaga K, Okuma S. Critical behavior of density-driven and shear-driven reversible-irreversible transitions in cyclically sheared vortices. Sci Rep 2021; 11:19280. [PMID: 34588586 PMCID: PMC8481300 DOI: 10.1038/s41598-021-98959-w] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/11/2021] [Accepted: 09/17/2021] [Indexed: 11/16/2022] Open
Abstract
Random assemblies of particles subjected to cyclic shear undergo a reversible–irreversible transition (RIT) with increasing a shear amplitude d or particle density n, while the latter type of RIT has not been verified experimentally. Here, we measure the time-dependent velocity of cyclically sheared vortices and observe the critical behavior of RIT driven by vortex density B as well as d. At the critical point of each RIT, \documentclass[12pt]{minimal}
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\begin{document}$$B_{\mathrm {c}}$$\end{document}Bc and \documentclass[12pt]{minimal}
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\begin{document}$$d_{\mathrm {c}}$$\end{document}dc, the relaxation time \documentclass[12pt]{minimal}
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\begin{document}$$\tau $$\end{document}τ to reach the steady state shows a power-law divergence. The critical exponent for B-driven RIT is in agreement with that for d-driven RIT and both types of RIT fall into the same universality class as the absorbing transition in the two-dimensional directed-percolation universality class. As d is decreased to the average intervortex spacing in the reversible regime, \documentclass[12pt]{minimal}
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\begin{document}$$\tau (d)$$\end{document}τ(d) shows a significant drop, indicating a transition or crossover from a loop-reversible state with vortex-vortex collisions to a collisionless point-reversible state. In either regime, \documentclass[12pt]{minimal}
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\begin{document}$$\tau (d)$$\end{document}τ(d) exhibits a power-law divergence at the same \documentclass[12pt]{minimal}
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\begin{document}$$d_{\mathrm {c}}$$\end{document}dc with nearly the same exponent.
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Affiliation(s)
- S Maegochi
- Department of Physics, Tokyo Institute of Technology, 2-12-1 Ohokayama, Meguro-ku, Tokyo, 152-8551, Japan.
| | - K Ienaga
- Department of Physics, Tokyo Institute of Technology, 2-12-1 Ohokayama, Meguro-ku, Tokyo, 152-8551, Japan
| | - S Okuma
- Department of Physics, Tokyo Institute of Technology, 2-12-1 Ohokayama, Meguro-ku, Tokyo, 152-8551, Japan.
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17
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Nizam ÜS, Makey G, Barbier M, Kahraman SS, Demir E, Shafigh EE, Galioglu S, Vahabli D, Hüsnügil S, Güneş MH, Yelesti E, Ilday S. Dynamic evolution of hyperuniformity in a driven dissipative colloidal system. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2021; 33:304002. [PMID: 33878751 DOI: 10.1088/1361-648x/abf9b8] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/18/2020] [Accepted: 04/20/2021] [Indexed: 06/12/2023]
Abstract
Hyperuniformity is evolving to become a unifying concept that can help classify and characterize equilibrium and nonequilibrium states of matter. Therefore, understanding the extent of hyperuniformity in dissipative systems is critical. Here, we study the dynamic evolution of hyperuniformity in a driven dissipative colloidal system. We experimentally show and numerically verify that the hyperuniformity of a colloidal crystal is robust against various lattice imperfections and environmental perturbations. This robustness even manifests during crystal disassembly as the system switches between strong (class I), logarithmic (class II), weak (class III), and non-hyperuniform states. To aid analyses, we developed a comprehensive computational toolbox, enabling real-time characterization of hyperuniformity in real- and reciprocal-spaces together with the evolution of several order metric features, and measurements showing the effect of external perturbations on the spatiotemporal distribution of the particles. Our findings provide a new framework to understand the basic principles that drive a dissipative system to a hyperuniform state.
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Affiliation(s)
- Ü Seleme Nizam
- UNAM-National Nanotechnology Research Center & Institute of Materials Science and Nanotechnology, Bilkent University, Ankara, 06800, Turkey
- Department of Physics, Boğaziçi University, İstanbul, 34342, Turkey
| | - Ghaith Makey
- UNAM-National Nanotechnology Research Center & Institute of Materials Science and Nanotechnology, Bilkent University, Ankara, 06800, Turkey
- Department of Physics, Bilkent University, Ankara, 06800, Turkey
| | - Michaël Barbier
- UNAM-National Nanotechnology Research Center & Institute of Materials Science and Nanotechnology, Bilkent University, Ankara, 06800, Turkey
| | - S Süleyman Kahraman
- Department of Physics, Middle East Technical University, Ankara, 06800, Turkey
| | - Esin Demir
- UNAM-National Nanotechnology Research Center & Institute of Materials Science and Nanotechnology, Bilkent University, Ankara, 06800, Turkey
| | - Ehsan E Shafigh
- UNAM-National Nanotechnology Research Center & Institute of Materials Science and Nanotechnology, Bilkent University, Ankara, 06800, Turkey
| | - Sezin Galioglu
- UNAM-National Nanotechnology Research Center & Institute of Materials Science and Nanotechnology, Bilkent University, Ankara, 06800, Turkey
| | - Danial Vahabli
- Department of Physics, Middle East Technical University, Ankara, 06800, Turkey
| | - Sercan Hüsnügil
- Department of Physics, Bilkent University, Ankara, 06800, Turkey
| | - Muhammed H Güneş
- Department of Physics, Bilkent University, Ankara, 06800, Turkey
| | - Efe Yelesti
- Department of Physics, Bilkent University, Ankara, 06800, Turkey
| | - Serim Ilday
- UNAM-National Nanotechnology Research Center & Institute of Materials Science and Nanotechnology, Bilkent University, Ankara, 06800, Turkey
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18
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Lei QL, Hu H, Ni R. Barrier-controlled nonequilibrium criticality in reactive particle systems. Phys Rev E 2021; 103:052607. [PMID: 34134288 DOI: 10.1103/physreve.103.052607] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/23/2021] [Accepted: 05/03/2021] [Indexed: 11/07/2022]
Abstract
Nonequilibrium critical phenomena generally exist in many dynamic systems, like chemical reactions and some driven-dissipative reactive particle systems. Here, by using computer simulation and theoretical analysis, we demonstrate the crucial role of the activation barrier on the criticality of dynamic phase transitions in a minimal reactive hard-sphere model. We find that at zero thermal noise, with increasing the activation barrier, the type of transition changes from a continuous conserved directed percolation into a discontinuous dynamic transition by crossing a tricritical point. A mean-field theory combined with field simulation is proposed to explain this phenomenon. The possibility of Ising-type criticality in the nonequilibrium system at finite thermal noise is also discussed.
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Affiliation(s)
- Qun-Li Lei
- School of Chemical and Biomedical Engineering, Nanyang Technological University, 62 Nanyang Drive, 637459, Singapore
| | - Hao Hu
- School of Physics and Materials Science, Anhui University, Hefei 230601, China
| | - Ran Ni
- School of Chemical and Biomedical Engineering, Nanyang Technological University, 62 Nanyang Drive, 637459, Singapore
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19
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Swimming in circles can lead to exotic hyperuniform states of active living matter. Proc Natl Acad Sci U S A 2021; 118:2107276118. [PMID: 34099559 DOI: 10.1073/pnas.2107276118] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
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20
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Torquato S. Structural characterization of many-particle systems on approach to hyperuniform states. Phys Rev E 2021; 103:052126. [PMID: 34134204 DOI: 10.1103/physreve.103.052126] [Citation(s) in RCA: 10] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/01/2021] [Accepted: 05/04/2021] [Indexed: 11/07/2022]
Abstract
The study of hyperuniform states of matter is an emerging multidisciplinary field, impinging on topics in the physical sciences, mathematics, and biology. The focus of this work is the exploration of quantitative descriptors that herald when a many-particle system in d-dimensional Euclidean space R^{d} approaches a hyperuniform state as a function of the relevant control parameter. We establish quantitative criteria to ascertain the extent of hyperuniform and nonhyperuniform distance-scaling regimes as well as the crossover point between them in terms of the "volume" coefficient A and "surface-area" coefficient B associated with the local number variance σ^{2}(R) for a spherical window of radius R. The larger the ratio B/A, the larger the hyperuniform scaling regime, which becomes of infinite extent in the limit B/A→∞. To complement the known direct-space representation of the coefficient B in terms of the total correlation function h(r), we derive its corresponding Fourier representation in terms of the structure factor S(k), which is especially useful when scattering information is available experimentally or theoretically. We also demonstrate that the free-volume theory of the pressure of equilibrium packings of identical hard spheres that approach a strictly jammed state either along the stable crystal or metastable disordered branch dictates that such end states be exactly hyperuniform. Using the ratio B/A, as well as other diagnostic measures of hyperuniformity, including the hyperuniformity index H and the direct-correlation function length scale ξ_{c}, we study three different exactly solvable models as a function of the relevant control parameter, either density or temperature, with end states that are perfectly hyperuniform. Specifically, we analyze equilibrium systems of hard rods and "sticky" hard-sphere systems in arbitrary space dimension d as a function of density. We also examine low-temperature excited states of many-particle systems interacting with "stealthy" long-ranged pair interactions as the temperature tends to zero, where the ground states are disordered, hyperuniform, and infinitely degenerate. We demonstrate that our various diagnostic hyperuniformity measures are positively correlated with one another. The same diagnostic measures can be used to detect the degree to which imperfections in nearly hyperuniform systems cause deviations from perfect hyperuniformity. Moreover, the capacity to identify hyperuniform scaling regimes should be particularly useful in analyzing experimentally or computationally generated samples that are necessarily of finite size.
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Affiliation(s)
- Salvatore Torquato
- Department of Chemistry, Department of Physics, Princeton Institute for the Science and Technology of Materials, and Program in Applied and Computational Mathematics, Princeton University, Princeton, New Jersey 08544, USA
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21
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Circular swimming motility and disordered hyperuniform state in an algae system. Proc Natl Acad Sci U S A 2021; 118:2100493118. [PMID: 33931505 DOI: 10.1073/pnas.2100493118] [Citation(s) in RCA: 22] [Impact Index Per Article: 7.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
Active matter comprises individually driven units that convert locally stored energy into mechanical motion. Interactions between driven units lead to a variety of nonequilibrium collective phenomena in active matter. One of such phenomena is anomalously large density fluctuations, which have been observed in both experiments and theories. Here we show that, on the contrary, density fluctuations in active matter can also be greatly suppressed. Our experiments are carried out with marine algae ([Formula: see text]), which swim in circles at the air-liquid interfaces with two different eukaryotic flagella. Cell swimming generates fluid flow that leads to effective repulsions between cells in the far field. The long-range nature of such repulsive interactions suppresses density fluctuations and generates disordered hyperuniform states under a wide range of density conditions. Emergence of hyperuniformity and associated scaling exponent are quantitatively reproduced in a numerical model whose main ingredients are effective hydrodynamic interactions and uncorrelated random cell motion. Our results demonstrate the existence of disordered hyperuniform states in active matter and suggest the possibility of using hydrodynamic flow for self-assembly in active matter.
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22
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Kim J, Torquato S. Characterizing the hyperuniformity of ordered and disordered two-phase media. Phys Rev E 2021; 103:012123. [PMID: 33601605 DOI: 10.1103/physreve.103.012123] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/31/2020] [Accepted: 12/24/2020] [Indexed: 11/07/2022]
Abstract
The hyperuniformity concept provides a unified means to classify all perfect crystals, perfect quasicrystals, and exotic amorphous states of matter according to their capacity to suppress large-scale density fluctuations. While the classification of hyperuniform point configurations has received considerable attention, much less is known about the classification of hyperuniform two-phase heterogeneous media, which include composites, porous media, foams, cellular solids, colloidal suspensions, and polymer blends. The purpose of this article is to begin such a program for certain two-dimensional models of hyperuniform two-phase media by ascertaining their local volume-fraction variances σ_{_{V}}^{2}(R) and the associated hyperuniformity order metrics B[over ¯]_{V}. This is a highly challenging task because the geometries and topologies of the phases are generally much richer and more complex than point-configuration arrangements, and one must ascertain a broadly applicable length scale to make key quantities dimensionless. Therefore, we purposely restrict ourselves to a certain class of two-dimensional periodic cellular networks as well as periodic and disordered or irregular packings of circular disks, some of which maximize their effective transport and elastic properties. Among the cellular networks considered, the honeycomb networks have minimal values of the hyperuniformity order metrics B[over ¯]_{V} across all volume fractions. On the other hand, for all packings of circular disks examined, the triangular-lattice packings have the smallest values of B[over ¯]_{V} for the possible range of volume fractions. Among all structures studied here, the triangular-lattice packing of circular disks have the minimal values of the order metric for almost all volume fractions. Our study provides a theoretical foundation for the establishment of hyperuniformity order metrics for general two-phase media and a basis to discover new hyperuniform two-phase systems with desirable bulk physical properties by inverse design procedures.
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Affiliation(s)
- Jaeuk Kim
- Department of Physics, Princeton University, Princeton, New Jersey 08544, USA
| | - Salvatore Torquato
- Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA; Department of Physics, Princeton University, Princeton, New Jersey 08544, USA; Princeton Institute for the Science and Technology of Materials, Princeton University, Princeton, New Jersey 08544, USA; and Program in Applied and Computational Mathematics, Princeton University, Princeton, New Jersey 08544, USA
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23
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Ma Z, Lomba E, Torquato S. Optimized Large Hyperuniform Binary Colloidal Suspensions in Two Dimensions. PHYSICAL REVIEW LETTERS 2020; 125:068002. [PMID: 32845658 DOI: 10.1103/physrevlett.125.068002] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/30/2020] [Accepted: 07/15/2020] [Indexed: 06/11/2023]
Abstract
The creation of disordered hyperuniform materials with extraordinary optical properties (e.g., large complete photonic band gaps) requires a capacity to synthesize large samples that are effectively hyperuniform down to the nanoscale. Motivated by this challenge, we propose a feasible equilibrium fabrication protocol using binary paramagnetic colloidal particles confined in a 2D plane. The strong and long-ranged dipolar interaction induced by a tunable magnetic field is free from screening effects that attenuate long-ranged electrostatic interactions in charged colloidal systems. Specifically, we numerically find a family of optimal size ratios that makes the two-phase system effectively hyperuniform. We show that hyperuniformity is a general consequence of low isothermal compressibilities, which makes our protocol suitable to treat more general systems with other long-ranged interactions, dimensionalities, and/or polydispersity. Our methodology paves the way to synthesize large photonic hyperuniform materials that function in the visible to infrared range and hence may accelerate the discovery of novel photonic materials.
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Affiliation(s)
- Zheng Ma
- Department of Physics, Princeton University, Princeton, New Jersey 08544, USA
| | - Enrique Lomba
- Instituto de Química Física Rocasolano, CSIC, Calle Serrano 119, E-28006 Madrid, Spain
| | - Salvatore Torquato
- Department of Chemistry, Department of Physics, Princeton Institute for the Science and Technology of Materials, and Program in Applied and Computational Mathematics, Princeton University, Princeton, New Jersey 08544, USA
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24
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Shi SJ, Li HS, Feng GQ, Tian WD, Chen K. Transport of self-propelled particles across a porous medium: trapping, clogging, and the Matthew effect. Phys Chem Chem Phys 2020; 22:14052-14060. [PMID: 32568323 DOI: 10.1039/d0cp01923b] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/06/2023]
Abstract
We study the transport of self-propelled particles from one free chamber to another across two stripe-like areas of dense porous medium. The medium is mimicked by arrays of obstacles. We find that active motion could greatly speed up the transport of particles. However, more and more particles become trapped in the obstacle arrays with the enhancement of activity. At high persistence (low rotational diffusion rate) and moderate particle concentration, we observe the Matthew effect in the aggregation of particles in the two obstacle arrays. This effect is weakened by introduction of randomness or deformability into the obstacle arrays. Moreover, the dependence on deformability shows the characteristics of first-order phase transition. In rare situations, the system could be stuck in a dynamic unstable state, e.g. the particles alternatively gather more in one of the two obstacle arrays, exhibiting oscillation of particle number between the arrays. Our results reveal new features in the transport of active objects in a complex medium and have implications for manipulating their collective assembly.
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Affiliation(s)
- Shen-Jia Shi
- Center for Soft Condensed Matter Physics & Interdisciplinary Research, School of Physical Science and Technology, Soochow University, Suzhou 215006, China.
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25
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Ma Z, Yang M, Ni R. Dynamic Assembly of Active Colloids: Theory and Simulation. ADVANCED THEORY AND SIMULATIONS 2020. [DOI: 10.1002/adts.202000021] [Citation(s) in RCA: 14] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Affiliation(s)
- Zhan Ma
- School of Chemical and Biomedical EngineeringNanyang Technological University62 Nanyang Drive, 637459 Singapore
| | - Mingcheng Yang
- Beijing National Laboratory for Condensed Matter Physics and Institute of PhysicsChinese Academy of SciencesBeijing 100190 China
- School of Physical SciencesUniversity of Chinese Academy of SciencesBeijing 100049 China
| | - Ran Ni
- School of Chemical and Biomedical EngineeringNanyang Technological University62 Nanyang Drive, 637459 Singapore
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26
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Zheng Y, Liu L, Nan H, Shen ZX, Zhang G, Chen D, He L, Xu W, Chen M, Jiao Y, Zhuang H. Disordered hyperuniformity in two-dimensional amorphous silica. SCIENCE ADVANCES 2020; 6:eaba0826. [PMID: 32494625 PMCID: PMC7164937 DOI: 10.1126/sciadv.aba0826] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 11/05/2019] [Accepted: 01/17/2020] [Indexed: 06/11/2023]
Abstract
Disordered hyperuniformity (DHU) is a recently proposed new state of matter, which has been observed in a variety of classical and quantum many-body systems. DHU systems are characterized by vanishing infinite-wavelength normalized density fluctuations and are endowed with unique novel physical properties. Here, we report the discovery of disordered hyperuniformity in atomic-scale two-dimensional materials, i.e., amorphous silica composed of a single layer of atoms, based on spectral-density analysis of high-resolution transmission electron microscopy images. Moreover, we show via large-scale density functional theory calculations that DHU leads to almost complete closure of the electronic bandgap compared to the crystalline counterpart, making the material effectively a metal. This is in contrast to the conventional wisdom that disorder generally diminishes electronic transport and is due to the unique electron wave localization induced by the topological defects in the DHU state.
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Affiliation(s)
- Yu Zheng
- Department of Physics, Arizona State University,Tempe, AZ 85287, USA
| | - Lei Liu
- School for Engineering of Matter, Transport and Energy, Arizona State University, Tempe, AZ 85287, USA
| | - Hanqing Nan
- School for Engineering of Matter, Transport and Energy, Arizona State University, Tempe, AZ 85287, USA
| | - Zhen-Xiong Shen
- Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei, Anhui 230026, P.R. China
- Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, P.R. China
| | - Ge Zhang
- Department of Physics, University of Pennsylvania, Philadelphia, PA 19104, USA
| | - Duyu Chen
- Tepper School of Business, Carnegie Mellon University, Pittsburgh, PA 15213, USA
| | - Lixin He
- Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei, Anhui 230026, P.R. China
- Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, P.R. China
| | - Wenxiang Xu
- School for Engineering of Matter, Transport and Energy, Arizona State University, Tempe, AZ 85287, USA
- College of Mechanics and Materials, Hohai University, Nanjing 211100, P.R. China
| | - Mohan Chen
- CAPT, HEDPS, College of Engineering, Peking University 100871, P.R. China
| | - Yang Jiao
- Department of Physics, Arizona State University,Tempe, AZ 85287, USA
- School for Engineering of Matter, Transport and Energy, Arizona State University, Tempe, AZ 85287, USA
| | - Houlong Zhuang
- Department of Physics, Arizona State University,Tempe, AZ 85287, USA
- School for Engineering of Matter, Transport and Energy, Arizona State University, Tempe, AZ 85287, USA
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27
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Klatt MA, Kim J, Torquato S. Cloaking the underlying long-range order of randomly perturbed lattices. Phys Rev E 2020; 101:032118. [PMID: 32289999 DOI: 10.1103/physreve.101.032118] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/02/2019] [Accepted: 01/25/2020] [Indexed: 06/11/2023]
Abstract
Random, uncorrelated displacements of particles on a lattice preserve the hyperuniformity of the original lattice, that is, normalized density fluctuations vanish in the limit of infinite wavelengths. In addition to a diffuse contribution, the scattering intensity from the the resulting point pattern typically inherits the Bragg peaks (long-range order) of the original lattice. Here we demonstrate how these Bragg peaks can be hidden in the effective diffraction pattern of independent and identically distributed perturbations. All Bragg peaks vanish if and only if the sum of all probability densities of the positions of the shifted lattice points is a constant at all positions. The underlying long-range order is then "cloaked" in the sense that it cannot be reconstructed from the pair correlation function alone. On the one hand, density fluctuations increase monotonically with the strength of perturbations a, as measured by the hyperuniformity order metric Λ[over ¯]. On the other hand, the disappearance and reemergence of long-range order, depending on whether the system is cloaked as the perturbation strength increases, is manifestly captured by the τ order metric. Therefore, while the perturbation strength a may seem to be a natural choice for an order metric of perturbed lattices, the τ order metric is a superior choice. It is noteworthy that cloaked perturbed lattices allow one to easily simulate very large samples (with at least 10^{6} particles) of disordered hyperuniform point patterns without Bragg peaks.
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Affiliation(s)
- Michael A Klatt
- Department of Physics, Princeton University, Princeton, New Jersey 08544, USA
| | - Jaeuk Kim
- Department of Physics, Princeton University, Princeton, New Jersey 08544, USA
| | - Salvatore Torquato
- Department of Physics, Princeton University, Princeton, New Jersey 08544, USA
- Department of Chemistry, Princeton Institute for the Science and Technology of Materials, and Program in Applied and Computational Mathematics, Princeton University, Princeton, New Jersey 08544, USA
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