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Fetisov EO, Mundy CJ, Schenter GK, Benmore CJ, Fulton JL, Kathmann SM. Nanometer-Scale Correlations in Aqueous Salt Solutions. J Phys Chem Lett 2020; 11:2598-2604. [PMID: 32163289 DOI: 10.1021/acs.jpclett.0c00322] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
The intermediate-range (1-4 nm) correlation of cations, anions, and water in aqueous alkaline earth salt solutions is measured using synchrotron X-ray diffraction. We differentiate from the entire solution structure factor, SX(Q), a separate region at low Q (<1.5 Å-1) containing local diffraction maxima (prepeaks) that indicate nanometer-scale oscillatory behavior. These features are quantitatively reproduced with classical molecular dynamics simulations. At high concentrations, the prepeaks emerge from correlations arising from the existence of small quasi close-packed lattice-like structures comprised of cation hydration spheres. We also analyze the concentration dependence of the prepeak and discuss the overall results in light of the rich literature dealing with intermediate-range correlations underlying universal phenomena in concentrated electrolytes.
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Affiliation(s)
- Evgenii O Fetisov
- Physical Sciences Division, Pacific Northwest National Laboratory, Richland, Washington 99354, United States
| | - Christopher J Mundy
- Physical Sciences Division, Pacific Northwest National Laboratory, Richland, Washington 99354, United States
| | - Gregory K Schenter
- Physical Sciences Division, Pacific Northwest National Laboratory, Richland, Washington 99354, United States
| | - Chris J Benmore
- Advanced Photon Source, Argonne National Laboratory, Lemont, Illinois 60439, United States
| | - John L Fulton
- Physical Sciences Division, Pacific Northwest National Laboratory, Richland, Washington 99354, United States
| | - Shawn M Kathmann
- Physical Sciences Division, Pacific Northwest National Laboratory, Richland, Washington 99354, United States
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2
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Ludwig NB, Dasbiswas K, Talapin DV, Vaikuntanathan S. Describing screening in dense ionic fluids with a charge-frustrated Ising model. J Chem Phys 2018; 149:164505. [DOI: 10.1063/1.5043410] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Nicholas B. Ludwig
- The James Franck Institute, The University of Chicago, Chicago, Illinois 60615, USA
- Department of Chemistry, The University of Chicago, Chicago, Illinois 60615, USA
| | - Kinjal Dasbiswas
- The James Franck Institute, The University of Chicago, Chicago, Illinois 60615, USA
| | - Dmitri V. Talapin
- The James Franck Institute, The University of Chicago, Chicago, Illinois 60615, USA
- Department of Chemistry, The University of Chicago, Chicago, Illinois 60615, USA
| | - Suriyanarayanan Vaikuntanathan
- The James Franck Institute, The University of Chicago, Chicago, Illinois 60615, USA
- Department of Chemistry, The University of Chicago, Chicago, Illinois 60615, USA
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Mendoza-Coto A, Stariolo DA, Nicolao L. Nature of long-range order in stripe-forming systems with long-range repulsive interactions. PHYSICAL REVIEW LETTERS 2015; 114:116101. [PMID: 25839293 DOI: 10.1103/physrevlett.114.116101] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/10/2014] [Indexed: 06/04/2023]
Abstract
We study two dimensional stripe forming systems with competing repulsive interactions decaying as r(-α). We derive an effective Hamiltonian with a short-range part and a generalized dipolar interaction which depends on the exponent α. An approximate map of this model to a known XY model with dipolar interactions allows us to conclude that, for α<2 long-range orientational order of stripes can exist in two dimensions, and establish the universality class of the models. When α≥2 no long-range order is possible, but a phase transition in the Kosterlitz-Thouless universality class is still present. These two different critical scenarios should be observed in experimentally relevant two dimensional systems like electronic liquids (α=1) and dipolar magnetic films (α=3). Results from Langevin simulations of Coulomb and dipolar systems give support to the theoretical results.
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Affiliation(s)
- Alejandro Mendoza-Coto
- Departamento de Física, Universidade Federal do Rio Grande do Sul, CP 15051, 91501-970 Porto Alegre, RS, Brazil
| | - Daniel A Stariolo
- Departamento de Física, Universidade Federal do Rio Grande do Sul and National Institute of Science and Technology for Complex Systems, CP 15051, 91501-970 Porto Alegre, RS, Brazil
| | - Lucas Nicolao
- Departamento de Física, Universidade Federal de Santa Catarina, 88040-900 Florianópolis, SC, Brazil
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Asai M, Cacciuto A, Kumar SK. Quantitative analogy between polymer-grafted nanoparticles and patchy particles. SOFT MATTER 2015; 11:793-7. [PMID: 25502933 DOI: 10.1039/c4sm02295e] [Citation(s) in RCA: 25] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/28/2023]
Abstract
We establish a quantitative analogy between polymer grafted nanoparticles (PGNPs) and patchy nanoparticles (NPs). Over much of the experimentally relevant parameter space, we show that PGNPs behave quantitatively like Janus NPs, with the patch size having a universal dependence on the number of grafts and the ratio of the size of the NPs to the grafted chain size. The widely observed anisotropic self-assembly of PGNP into superstructures can thus be understood through simple geometric considerations of single patch models, in the same spirit as the geometry-based surfactant models of Israelachvili.
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Affiliation(s)
- Makoto Asai
- Department of Chemical Engineering, Columbia University, New York, 10027, USA.
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Lee TE, Gopalakrishnan S, Lukin MD. Unconventional magnetism via optical pumping of interacting spin systems. PHYSICAL REVIEW LETTERS 2013; 110:257204. [PMID: 23829757 DOI: 10.1103/physrevlett.110.257204] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/19/2013] [Indexed: 06/02/2023]
Abstract
We consider strongly interacting systems of effective spins, subject to dissipative spin-flip processes associated with optical pumping. We predict the existence of novel magnetic phases in the steady state of this system, which emerge due to the competition between coherent and dissipative processes. Specifically, for strongly anisotropic spin-spin interactions, we find ferromagnetic, antiferromagnetic, spin-density-wave, and staggered-XY steady states, which are separated by nonequilibrium phase transitions meeting at a Lifshitz point. These transitions are accompanied by quantum correlations, resulting in spin squeezing. Experimental implementations in ultracold atoms and trapped ions are discussed.
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Affiliation(s)
- Tony E Lee
- ITAMP, Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts 02138, USA
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Bozorgui B, Meng D, Kumar SK, Chakravarty C, Cacciuto A. Fluctuation-driven anisotropic assembly in nanoscale systems. NANO LETTERS 2013; 13:2732-2737. [PMID: 23713810 DOI: 10.1021/nl401378r] [Citation(s) in RCA: 33] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/27/2023]
Abstract
We demonstrate that the self-assembly of spherical nanoparticles (NPs), grafted isotropically with polymeric ligands, into anisotropic structures is a manifestation of the fluctuations inherent in small number statistics. Computer simulations show that the organization of ligand atoms around an individual NP is not spatially isotropic for small numbers of grafts and ligand monomers. This inherent, spatially asymmetric ligand distribution causes the effective, two-body inter-NP potential to have a strong orientational dependence, which reproduces the anisotropic assembly observed ubiquitously for these systems. In contrast, ignoring this angular dependence does not permit us to capture NP self-assembly. This idea of fluctuation-driven behavior should be broadly relevant, and, for example, it should be important for the assembly of ligand-decorated quantum dots into arrays.
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Affiliation(s)
- Behnaz Bozorgui
- Department of Chemical Engineering, Columbia University, New York, New York, USA
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Barci DG, Ribeiro L, Stariolo DA. Nematic phase in two-dimensional frustrated systems with power-law decaying interactions. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2013; 87:062119. [PMID: 23848639 DOI: 10.1103/physreve.87.062119] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/02/2013] [Indexed: 06/02/2023]
Abstract
We address the problem of orientational order in frustrated interaction systems as a function of the relative range of the competing interactions. We study a spin model Hamiltonian with short-range ferromagnetic interaction competing with an antiferromagnetic component that decays as a power law of the distance between spins, 1/r(α). These systems may develop a nematic phase between the isotropic disordered and stripe phases. We evaluate the nematic order parameter using a self-consistent mean-field calculation. Our main result indicates that the nematic phase exists, at mean-field level, provided 0<α<4. We analytically compute the nematic critical temperature and show that it increases with the range of the interaction, reaching its maximum near α~0.5. We also compute a coarse-grained effective Hamiltonian for long wavelength fluctuations. For 0<α<4 the inverse susceptibility develops a set of continuous minima at wave vectors |k[over arrow]|=k(0)(α) which dictate the long-distance physics of the system. For α→4, k(0)→0, making the competition between interactions ineffective for greater values of α.
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Affiliation(s)
- Daniel G Barci
- Departamento de Física Teórica, Universidade do Estado do Rio de Janeiro, Rua São Francisco Xavier 524, 20550-013 Rio de Janeiro, Brazil
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Fonseca JSM, Rizzi LG, Alves NA. Stripe-tetragonal phase transition in the two-dimensional Ising model with dipole interactions: partition function zeros approach. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2012; 86:011103. [PMID: 23005364 DOI: 10.1103/physreve.86.011103] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/16/2012] [Revised: 06/06/2012] [Indexed: 06/01/2023]
Abstract
We have performed multicanonical simulations to study the critical behavior of the two-dimensional Ising model with dipole interactions. This study concerns the thermodynamic phase transitions in the range of the interaction δ where the phase characterized by striped configurations of width h = 1 is observed. Controversial results obtained from local update algorithms have been reported for this region, including the claimed existence of a second-order phase transition line that becomes first order above a tricritical point located somewhere between δ = 0.85 and 1. Our analysis relies on the complex partition function zeros obtained with high statistics from multicanonical simulations. Finite size scaling relations for the leading partition function zeros yield critical exponents ν that are clearly consistent with a single second-order phase transition line, thus excluding such a tricritical point in that region of the phase diagram. This conclusion is further supported by analysis of the specific heat and susceptibility of the orientational order parameter.
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Affiliation(s)
- Jacyana S M Fonseca
- Departamento de Física, FFCLRP, Universidade de São Paulo, Avenida Bandeirantes, 3900 Ribeirão Preto 14040-901, SP, Brazil.
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Bosse AW. Thermal composition fluctuations in an ordered lamellar mesophase. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2012; 85:042801. [PMID: 22680525 DOI: 10.1103/physreve.85.042801] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/23/2011] [Revised: 03/29/2012] [Indexed: 06/01/2023]
Abstract
We derive an approximate analytic expression for the structure factor of equilibrium, thermal composition fluctuations in an ordered lamellar mesophase. In order to test the validity of the equation, we perform a series of stochastic simulations using an established model of block copolymer ordering and demonstrate that the equation fits the simulation data with zero adjustable fit parameters over a reasonably wide range of system and simulation parameters.
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Affiliation(s)
- August W Bosse
- Polymers Division, National Institute of Standards and Technology, Gaithersburg, Maryland 20899-8541, USA
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Erdem T, Demir HV. On‐Chip Integration of Functional Hybrid Materials and Components in Nanophotonics and Optoelectronics. CERAMIC INTEGRATION AND JOINING TECHNOLOGIES 2011:339-391. [DOI: 10.1002/9781118056776.ch12] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 09/01/2023]
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11
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Edlund E, Jacobi MN. Universality of striped morphologies. PHYSICAL REVIEW LETTERS 2010; 105:137203. [PMID: 21230804 DOI: 10.1103/physrevlett.105.137203] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/23/2010] [Revised: 08/20/2010] [Indexed: 05/30/2023]
Abstract
We present a method for predicting the low-temperature behavior of spherical and Ising spin models with isotropic potentials. For the spherical model the characteristic length scales of the ground states are exactly determined but the morphology is shown to be degenerate with checkerboard patterns, stripes and more complex morphologies having identical energy. For the Ising models we show that the discretization breaks the degeneracy causing striped morphologies to be energetically favored and therefore they arise universally as ground states to potentials whose Hankel transforms have nontrivial minima.
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Affiliation(s)
- E Edlund
- Complex Systems Group, Department of Energy and Environment, Chalmers University of Technology, SE-41296 Göteborg, Sweden.
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Napolitani P, Chomaz P, Gulminelli F, Hasnaoui KHO. Ising analogue to compact-star matter. PHYSICAL REVIEW LETTERS 2007; 98:131102. [PMID: 17501178 DOI: 10.1103/physrevlett.98.131102] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/22/2006] [Indexed: 05/15/2023]
Abstract
By constructing an Ising analogue of compact-star matter at subsaturation density we explored the effect of Coulomb frustration on the nuclear liquid-gas phase transition. Our conclusion is twofold. First, the range of temperatures where inhomogeneous phases form expands with increasing Coulomb-field strength. Second, within the approximation of uniform electron distribution, the limiting point upon which the phase-coexistence region ends does not exhibit any critical behavior. Possible astrophysics consequences and thermodynamical connections are discussed.
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Affiliation(s)
- P Napolitani
- GANIL (DSM-CEA/IN2P3-CNRS), Boulevard H. Becquerel, F-14076 Caen cédex, France
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Mossa S, Sciortino F, Tartaglia P, Zaccarelli E. Ground-state clusters for short-range attractive and long-range repulsive potentials. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2004; 20:10756-63. [PMID: 15544413 DOI: 10.1021/la048554t] [Citation(s) in RCA: 87] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/08/2023]
Abstract
We report calculations of the ground-state energies and geometries for clusters of different sizes (up to 80 particles), where individual particles interact simultaneously via a short-ranged attractive potential, modeled with a generalization of the Lennard-Jones potential, and a long-ranged repulsive Yukawa potential. We show that for specific choices of the parameters of the repulsive potential, the ground-state energy per particle has a minimum at a finite cluster size. For these values of the parameters in the thermodynamic limit, at low temperatures and small packing fractions, where clustering is favored and cluster-cluster interactions can be neglected, thermodynamically stable cluster phases can be formed. The analysis of the ground-state geometries shows that the spherical shape is marginally stable. In the majority of the studied cases, we find that above a certain size, ground-state clusters preferentially grow almost in one dimension.
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Affiliation(s)
- S Mossa
- Dipartimento di Fisica and INFM Udr and SOFT, Complex Dynamics in Structured Systems, Università di Roma La Sapienza, P.le A. Moro 2, I-00185, Roma, Italy.
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15
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Grousson M, Tarjus G, Viot P. Monte Carlo study of the three-dimensional Coulomb frustrated Ising ferromagnet. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2001; 64:036109. [PMID: 11580396 DOI: 10.1103/physreve.64.036109] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/17/2001] [Indexed: 05/23/2023]
Abstract
We have investigated, by Monte Carlo simulation, the phase diagram of a three-dimensional Ising model with nearest-neighbor ferromagnetic interactions and small, but long-range (Coulombic) antiferromagnetic interactions. We have developed an efficient cluster algorithm and used different lattice sizes and geometries, which allows us to obtain the main characteristics of the temperature-frustration phase diagram. Our finite-size scaling analysis confirms that the melting of the lamellar phases into the paramagnetic phase is driven first order by the fluctuations. Transitions between ordered phases with different modulation patterns are observed in some regions of the diagram, in agreement with a recent mean-field analysis.
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Affiliation(s)
- M Grousson
- Laboratoire de Physique Théorique des Liquides, Université Pierre et Marie Curie, 4 Place Jussieu, 75252 Paris Cedex 05, France
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