1
|
Sharma A, Soni H. Phases and correlations in active nematic granular systems. SOFT MATTER 2024. [PMID: 39105541 DOI: 10.1039/d4sm00667d] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 08/07/2024]
Abstract
We investigate the statistical behavior of a system comprising fore-aft symmetric rods confined between two vertically vibrating plates using numerical simulations closely resembling the experimental setup studied by V. Narayan et al., Science, 2007, 317, 105-108. Our focus lies in studying the phase transition of the system from an isotropic phase to a nematic phase as we increase either the rod length or the rod concentration. Our simulations confirm the presence of long-range ordering in the ordered phase. Furthermore, we identify a phase characterized by a periodic ordering profile that disrupts translation symmetry. We also provide a detailed analysis of the translational and rotational diffusive dynamics of the rods. Interestingly, the translational diffusivity of the rods is found to increase with the rod concentration.
Collapse
Affiliation(s)
- Abhishek Sharma
- School of Physical Sciences (SPS), Indian Institute of Technology Mandi, Parashar Road, Tehsil Sadar, Near Kataula, Kamand, Himachal Pradesh 175005, India.
| | - Harsh Soni
- School of Physical Sciences (SPS), Indian Institute of Technology Mandi, Parashar Road, Tehsil Sadar, Near Kataula, Kamand, Himachal Pradesh 175005, India.
| |
Collapse
|
2
|
Son K, Choe Y, Kwon E, Rigon LG, Baek Y, Kim HY. Dynamics of self-propelled particles in vibrated dense granular media. SOFT MATTER 2024; 20:2777-2788. [PMID: 38444300 DOI: 10.1039/d3sm01596c] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 03/07/2024]
Abstract
We study a system consisting of a few self-propelled particles (SPPs) placed among a crowd of densely packed granular particles that are vertically vibrated in a two-dimensional circular confinement. Our experiments reveal two important findings. First, an SPP exhibits a fractal renewal process within the dense granular medium, which induces a superdiffusive behavior whose diffusion exponent increases with its aspect ratio. Second, the SPPs eventually reach the boundary and form a moving cluster, which transitions from the moving state to the static state as the number of SPPs is increased. These results suggest a simple and effective method of modulating the fluidity and directionality of granular systems via controlling the shape and the number of SPPs.
Collapse
Affiliation(s)
- Kyungmin Son
- Department of Mechanical Engineering, Seoul National University, Seoul 08826, Korea.
| | - Yunsik Choe
- Department of Physics and Astronomy & Center for Theoretical Physics, Seoul National University, Seoul 08826, Korea.
| | - Euijoon Kwon
- Department of Physics and Astronomy & Center for Theoretical Physics, Seoul National University, Seoul 08826, Korea.
| | - Leonardo Garibaldi Rigon
- Department of Physics and Astronomy & Center for Theoretical Physics, Seoul National University, Seoul 08826, Korea.
| | - Yongjoo Baek
- Department of Physics and Astronomy & Center for Theoretical Physics, Seoul National University, Seoul 08826, Korea.
| | - Ho-Young Kim
- Department of Mechanical Engineering, Seoul National University, Seoul 08826, Korea.
- Institute of Advanced Machines and Design, Seoul National University, Seoul 08826, Korea
| |
Collapse
|
3
|
Sprenger AR, Caprini L, Löwen H, Wittmann R. Dynamics of active particles with translational and rotational inertia. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2023; 35:305101. [PMID: 37059111 DOI: 10.1088/1361-648x/accd36] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/04/2023] [Accepted: 04/14/2023] [Indexed: 06/19/2023]
Abstract
Inertial effects affecting both the translational and rotational dynamics are inherent to a broad range of active systems at the macroscopic scale. Thus, there is a pivotal need for proper models in the framework of active matter to correctly reproduce experimental results, hopefully achieving theoretical insights. For this purpose, we propose an inertial version of the active Ornstein-Uhlenbeck particle (AOUP) model accounting for particle mass (translational inertia) as well as its moment of inertia (rotational inertia) and derive the full expression for its steady-state properties. The inertial AOUP dynamics introduced in this paper is designed to capture the basic features of the well-established inertial active Brownian particle model, i.e. the persistence time of the active motion and the long-time diffusion coefficient. For a small or moderate rotational inertia, these two models predict similar dynamics at all timescales and, in general, our inertial AOUP model consistently yields the same trend upon changing the moment of inertia for various dynamical correlation functions.
Collapse
Affiliation(s)
- Alexander R Sprenger
- Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, D-40225 Düsseldorf, Germany
- Institut für Physik, Otto-von-Guericke-Universität Magdeburg, Universitätsplatz 2, D-39106 Magdeburg, Germany
| | - Lorenzo Caprini
- Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, D-40225 Düsseldorf, Germany
| | - Hartmut Löwen
- Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, D-40225 Düsseldorf, Germany
| | - René Wittmann
- Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, D-40225 Düsseldorf, Germany
| |
Collapse
|
4
|
Benvegnen B, Chaté H, Krapivsky PL, Tailleur J, Solon A. Flocking in one dimension: Asters and reversals. Phys Rev E 2022; 106:054608. [PMID: 36559354 DOI: 10.1103/physreve.106.054608] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/29/2022] [Accepted: 10/23/2022] [Indexed: 06/17/2023]
Abstract
We study the one-dimensional active Ising model in which aligning particles undergo diffusion biased by the signs of their spins. The phase diagram obtained varying the density of particles, their hopping rate, and the temperature controlling the alignment shows a homogeneous disordered phase but no homogeneous ordered one, as well as two phases with localized dense structures. In the flocking phase, large ordered aggregates move ballistically and stochastically reverse their direction of motion. In what we termed the "aster" phase, dense immobile aggregates of opposite magnetization face each other, exchanging particles, without any net motion of the aggregates. Using a combination of numerical simulations and mean-field theory, we study the evolution of the shapes of the flocks, the statistics of their reversal times, and their coarsening dynamics. Solving exactly for the zero-temperature dynamics of an aster allows us to understand their coarsening, which shows extremal dynamics, while mean-field equations account for their shape.
Collapse
Affiliation(s)
- Brieuc Benvegnen
- Sorbonne Université, CNRS, Laboratoire de Physique Théorique de la Matière Condensée, 75005 Paris, France
| | - Hugues Chaté
- Sorbonne Université, CNRS, Laboratoire de Physique Théorique de la Matière Condensée, 75005 Paris, France
- Service de Physique de l'Etat Condensé, CEA, CNRS Université Paris-Saclay, CEA-Saclay, 91191 Gif-sur-Yvette, France
- Computational Science Research Center, Beijing 100094, China
| | - Pavel L Krapivsky
- Department of Physics, Boston University, Boston, Massachusetts 02215, USA
- Santa Fe Institute, Santa Fe, New Mexico 87501, USA
| | - Julien Tailleur
- Université Paris Cité, Laboratoire Matière et Systèmes Complexes (MSC), UMR 7057 CNRS, F-75205 Paris, France
| | - Alexandre Solon
- Sorbonne Université, CNRS, Laboratoire de Physique Théorique de la Matière Condensée, 75005 Paris, France
| |
Collapse
|
5
|
Kumar N, Zhang R, Redford SA, de Pablo JJ, Gardel ML. Catapulting of topological defects through elasticity bands in active nematics. SOFT MATTER 2022; 18:5271-5281. [PMID: 35789364 DOI: 10.1039/d2sm00414c] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/15/2023]
Abstract
Active materials are those in which individual, uncoordinated local stresses drive the material out of equilibrium on a global scale. Examples of such assemblies can be seen across scales from schools of fish to the cellular cytoskeleton and underpin many important biological processes. Synthetic experiments that recapitulate the essential features of such active systems have been the object of study for decades as their simple rules allow us to elucidate the physical underpinnings of collective motion. One system of particular interest has been active nematic liquid crystals (LCs). Because of their well understood passive physics, LCs provide a rich platform to interrogate the effects of active stress. The flows and steady state structures that emerge in an active LCs have been understood to result from a competition between nematic elasticity and the local activity. However most investigations of such phenomena consider only the magnitude of the elastic resistance and not its peculiarities. Here we investigate a nematic liquid crystal and selectively change the ratio of the material's splay and bend elasticities. We show that increases in the nematic's bend elasticity specifically drives the material into an exotic steady state where elongated regions of acute bend distortion or "elasticity bands" dominate the structure and dynamics. We show that these bands strongly influence defect dynamics, including the rapid motion or "catapulting" along the disintegration of one of these bands thus converting bend distortion into defect transport. Thus, we report a novel dynamical state resultant from the competition between nematic elasticity and active stress.
Collapse
Affiliation(s)
- Nitin Kumar
- James Franck Institute, The University of Chicago, Chicago, Illinois 60637, USA.
- Department of Physics, The University of Chicago, Chicago, Illinois 60637, USA
- Institute for Biophysical Dynamics, The University of Chicago, Chicago, Illinois 60637, USA
- Department of Physics, Indian Institute of Technology Bombay, Mumbai, India
| | - Rui Zhang
- Department of Physics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong SAR
- Pritzker School of Molecular Engineering, The University of Chicago, Chicago, Illinois 60637, USA
| | - Steven A Redford
- James Franck Institute, The University of Chicago, Chicago, Illinois 60637, USA.
- Institute for Biophysical Dynamics, The University of Chicago, Chicago, Illinois 60637, USA
- Graduate Program in Biophysical Sciences, The University of Chicago, Chicago, Illinois 60637, USA
| | - Juan J de Pablo
- Pritzker School of Molecular Engineering, The University of Chicago, Chicago, Illinois 60637, USA
- Institute for Molecular Engineering, Argonne National Laboratory, Lemont, Illinois 60439, USA
| | - Margaret L Gardel
- James Franck Institute, The University of Chicago, Chicago, Illinois 60637, USA.
- Department of Physics, The University of Chicago, Chicago, Illinois 60637, USA
- Institute for Biophysical Dynamics, The University of Chicago, Chicago, Illinois 60637, USA
- Pritzker School of Molecular Engineering, The University of Chicago, Chicago, Illinois 60637, USA
| |
Collapse
|
6
|
Gupta RK, Kant R, Soni H, Sood AK, Ramaswamy S. Active nonreciprocal attraction between motile particles in an elastic medium. Phys Rev E 2022; 105:064602. [PMID: 35854487 DOI: 10.1103/physreve.105.064602] [Citation(s) in RCA: 7] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/06/2020] [Accepted: 05/05/2022] [Indexed: 06/15/2023]
Abstract
We show from experiments and simulations on vibration-activated granular matter that self-propelled polar rods in an elastic medium on a substrate turn and move towards each other. We account for this effective attraction through a coarse-grained theory of a motile particle as a moving point-force density that creates elastic strains in the medium that reorient other particles. Our measurements confirm qualitatively the predicted features of the distortions created by the rods, including the |x|^{-1/2} tail of the trailing displacement field and nonreciprocal sensing and pursuit. A discrepancy between the magnitudes of displacements along and transverse to the direction of motion remains. Our theory should be of relevance to the interaction of motile cells in the extracellular matrix or in a supported layer of gel or tissue.
Collapse
Affiliation(s)
- Rahul Kumar Gupta
- Tata Institute of Fundamental Research, Gopanpally, Hyderabad 500 107, India
- Department of Physics, Indian Institute of Science, Bangalore 560 012, India
- Institut für Theoretische Physik II - Soft Matter Heinrich-Heine-Universität, 40225 Düsseldorf, Germany
| | - Raushan Kant
- Department of Physics, Indian Institute of Science, Bangalore 560 012, India
| | - Harsh Soni
- Department of Physics, Indian Institute of Science, Bangalore 560 012, India
| | - A K Sood
- Department of Physics, Indian Institute of Science, Bangalore 560 012, India
| | - Sriram Ramaswamy
- Department of Physics, Indian Institute of Science, Bangalore 560 012, India
| |
Collapse
|
7
|
Codina J, Mahault B, Chaté H, Dobnikar J, Pagonabarraga I, Shi XQ. Small Obstacle in a Large Polar Flock. PHYSICAL REVIEW LETTERS 2022; 128:218001. [PMID: 35687474 DOI: 10.1103/physrevlett.128.218001] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/16/2021] [Accepted: 05/03/2022] [Indexed: 06/15/2023]
Abstract
We show that arbitrarily large polar flocks are susceptible to the presence of a single small obstacle. In a wide region of parameter space, the obstacle triggers counterpropagating dense bands leading to reversals of the flow. In very large systems, these bands interact, yielding a never-ending chaotic dynamics that constitutes a new disordered phase of the system. While most of these results were obtained using simulations of aligning self-propelled particles, we find similar phenomena at the continuous level, not when considering the basic Toner-Tu hydrodynamic theory, but in simulations of truncations of the relevant Boltzmann equation.
Collapse
Affiliation(s)
- Joan Codina
- Wenzhou Institute, University of Chinese Academy of Sciences, Wenzhou 325001, China
- Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
| | - Benoît Mahault
- Max Planck Institute for Dynamics and Self-Organization (MPIDS), 37077 Göttingen, Germany
| | - Hugues Chaté
- Service de Physique de l'Etat Condensé, CEA, CNRS Université Paris-Saclay, CEA-Saclay, 91191 Gif-sur-Yvette, France
- Computational Science Research Center, Beijing 100193, China
- Sorbonne Université, CNRS UMR7600, Laboratoire de Physique Théorique de la Matière Condensée, 75005 Paris, France
| | - Jure Dobnikar
- Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
- School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
- Songshan Lake Materials Laboratory, Dongguan, Guangdong 523808, China
| | - Ignacio Pagonabarraga
- Departament de Física de la Matèria Condensada, Universitat de Barcelona, 08028 Barcelona, Spain
- Universitat de Barcelona Institute of Complex Systems, 08028 Barcelona, Spain
- Centre Européen de Calcul Atomique et Moléculaire, Ecole Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland
| | - Xia-Qing Shi
- Center for Soft Condensed Matter Physics and Interdisciplinary Research, Soochow University, Suzhou 215006, China
| |
Collapse
|
8
|
Sampat PB, Mishra S. Polar swimmers induce several phases in active nematics. Phys Rev E 2021; 104:024130. [PMID: 34525577 DOI: 10.1103/physreve.104.024130] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/10/2021] [Accepted: 07/16/2021] [Indexed: 01/04/2023]
Abstract
Swimming bacteria in passive nematics in the form of lyotropic liquid crystals are defined as a new class of active matter known as living liquid crystals in recent studies. It has also been shown that liquid crystal solutions are promising candidates for trapping and detecting bacteria. We ask the question, can a similar class of matter be designed for background nematics which are also active? Hence, we developed a minimal model for the mixture of polar particles in active nematics. It is found that the active nematics in such a mixture are highly sensitive to the presence of polar particles and show the formation of large scale higher order structures for a relatively low polar particle density. Upon increasing the density of polar particles, different phases of active nematics are found and it is observed that the system shows two phase transitions. The first phase transition is a first order transition from quasi-long-ranged ordered active nematics to disordered active nematics with larger scale structures. On further increasing density of polar particles, the system transitions to a third phase, where polar particles form large, mutually aligned clusters. These clusters sweep the whole system and enforce local order in the nematics. The current study can be helpful for detecting the presence of very low densities of polar swimmers in active nematics and can be used to design and control different structures in active nematics.
Collapse
Affiliation(s)
- Pranay Bimal Sampat
- Department of Physics, Indian Institute of Technology (BHU), Varanasi, U.P. - 221005 India
| | - Shradha Mishra
- Department of Physics, Indian Institute of Technology (BHU), Varanasi, U.P. - 221005 India
| |
Collapse
|
9
|
Peled S, Ryan SD, Heidenreich S, Bär M, Ariel G, Be'er A. Heterogeneous bacterial swarms with mixed lengths. Phys Rev E 2021; 103:032413. [PMID: 33862716 DOI: 10.1103/physreve.103.032413] [Citation(s) in RCA: 12] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/25/2020] [Accepted: 03/02/2021] [Indexed: 12/20/2022]
Abstract
Heterogeneous systems of active matter exhibit a range of complex emergent dynamical patterns. In particular, it is difficult to predict the properties of the mixed system based on its constituents. These considerations are particularly significant for understanding realistic bacterial swarms, which typically develop heterogeneities even when grown from a single cell. Here, mixed swarms of cells with different aspect ratios are studied both experimentally and in simulations. In contrast with previous theory, there is no macroscopic phase segregation. However, locally, long cells act as nucleation cites, around which aggregates of short, rapidly moving cells can form, resulting in enhanced swarming speeds. On the other hand, high fractions of long cells form a bottleneck for efficient swarming. Our results suggest a physical advantage for the spontaneous heterogeneity of bacterial swarm populations.
Collapse
Affiliation(s)
- Shlomit Peled
- Zuckerberg Institute for Water Research, The Jacob Blaustein Institutes for Desert Research, Ben-Gurion University of the Negev, Sede Boqer Campus 84990, Midreshet Ben-Gurion, Israel
| | - Shawn D Ryan
- Department of Mathematics and Statistics, Cleveland State University, Cleveland, Ohio 44115, USA
- Center for Applied Data Analysis and Modeling, Cleveland State University, Cleveland, Ohio 44115, USA
| | - Sebastian Heidenreich
- Department of Mathematical Modelling and Data Analysis, Physikalisch-Technische Bundesanstalt Braunschweig und Berlin, Abbestrasse 2-12, D-10587 Berlin, Germany
| | - Markus Bär
- Department of Mathematical Modelling and Data Analysis, Physikalisch-Technische Bundesanstalt Braunschweig und Berlin, Abbestrasse 2-12, D-10587 Berlin, Germany
| | - Gil Ariel
- Department of Mathematics, Bar-Ilan University, Ramat Gan 52900, Israel
| | - Avraham Be'er
- Zuckerberg Institute for Water Research, The Jacob Blaustein Institutes for Desert Research, Ben-Gurion University of the Negev, Sede Boqer Campus 84990, Midreshet Ben-Gurion, Israel
- Department of Physics, Ben-Gurion University of the Negev 84105, Beer-Sheva, Israel
| |
Collapse
|
10
|
Mohammadi M, Harth K, Puzyrev D, Trittel T, Hanselka T, Stannarius R. Mechanically driven active and passive grains as models for egress dynamics. EPJ WEB OF CONFERENCES 2021. [DOI: 10.1051/epjconf/202124903016] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Passages of people or cattle through narrow entrances or exits occur in manifold situations. They are difficult to study experimentally, because one has to carefully separate objective, physical parameters from subjective, individual motivations, manners and temperament. Mechanically excited physical model systems can help to discriminate some of these classes of parameters. We characterize active and passive particles of equal shape and mass on a vibrating plate and study their bottleneck passage dynamics. They show fundamentally different scaling behavior.
Collapse
|
11
|
Tasaki H. Hohenberg-Mermin-Wagner-Type Theorems for Equilibrium Models of Flocking. PHYSICAL REVIEW LETTERS 2020; 125:220601. [PMID: 33315454 DOI: 10.1103/physrevlett.125.220601] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/12/2020] [Accepted: 10/22/2020] [Indexed: 06/12/2023]
Abstract
We study a class of two-dimensional models of classical hard-core particles with Vicsek type "exchange interaction" that aligns the directions of motion of nearby particles. By extending the Hohenberg-Mermin-Wagner theorem for the absence of spontaneous magnetization and the McBryan-Spencer bound for correlation functions, we prove that the models do not spontaneously break the rotational symmetry in their equilibrium states at any nonzero temperature. This provides a counterexample to the well-known argument that the mobility of particles is the key origin of the spontaneous symmetry breaking in two-dimensional Vicsek type models. Our result suggests that the origin of the symmetry breaking should be sought in the absence of a detailed balance condition, or, equivalently, in nonequilibrium nature.
Collapse
Affiliation(s)
- Hal Tasaki
- Department of Physics, Gakushuin University, Mejiro, Toshima-ku, Tokyo 171-8588, Japan
| |
Collapse
|