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We construct a density functional for the lattice gas / Ising model on square and cubic lattices based on lattice fundamental measure theory. In order to treat the nearest-neighbor attractions between the lattice gas particles, the model is…

Statistical Mechanics · Physics 2021-08-25 M. Maeritz , M. Oettel

We determine the phase diagram and the momentum distribution for a one-dimensional Bose gas with repulsive short range interactions in the presence of a two-color lattice potential, with incommensurate ratio among the respective wave…

Other Condensed Matter · Physics 2008-07-22 Xiaolong Deng , R. Citro , A. Minguzzi , E. Orignac

We investigate the collective behavior of an Ising lattice gas, driven to non-equilibrium steady states by being coupled to {\em two} thermal baths. Monte Carlo methods are applied to a two-dimensional system in which one of the baths is…

Statistical Mechanics · Physics 2009-10-31 E. L. Praestgaard , B. Schmittmann , R. K. P. Zia

We investigate binary mixtures undergoing phase separation after a second (deeper) temperature quench into two- and three-phase coexistence regions. The analysis is based on a lattice theory previously developed for gas-liquid separation in…

Soft Condensed Matter · Physics 2019-11-22 Pablo de Castro , Peter Sollich

New insights into phase separation in colloidal suspensions are provided via a new dynamical theory based on the Polydisperse Lattice-Gas model. The model gives a simplified description of polydisperse colloids, incorporating a hard-core…

Soft Condensed Matter · Physics 2017-08-03 Pablo de Castro , Peter Sollich

An analysis of the random lattice gas in the annealed limit is presented. The statistical mechanics of disordered lattice systems is briefly reviewed. For the case of the lattice gas with an arbitrary uniform interaction potential and…

Statistical Mechanics · Physics 2011-11-09 A. P. Vieira , L. L. Goncalves

I study a dimer model on the square lattice with nearest-neighbor exclusion as the only interaction. Detailed simulations using tomographic entropic sampling show that as the chemical potential is varied, there is a strongly discontinuous…

Statistical Mechanics · Physics 2015-03-20 Ronald Dickman

We investigate the non-equilibrium steady state of a one-dimensional (1D) lattice gas of dimers. The dynamics is described by a totally asymmetric exclusion process (TASEP) supplemented by attachment and detachment processes, mimicking…

Statistical Mechanics · Physics 2007-05-23 P. Pierobon , T. Franosch , E. Frey

The lattice gas model of condensation in a heterogeneous pore system, represented by a random graph of cells, is studied using an exact analytical solution. A binary mixture of pore cells with different coordination numbers is shown to…

Statistical Mechanics · Physics 2014-08-26 Thomas P. Handford , Alexander Dear , Francisco J. Pérez-Reche , Sergei N. Taraskin

A coupled atomistic spin and lattice dynamics approach is developed which merges the dynamics of these two degrees of freedom into a single set of coupled equations of motion. The underlying microscopic model comprises local exchange…

Materials Science · Physics 2018-01-24 J. Fransson , D. Thonig , P. F. Bessarab , S . Bhattacharjee , J. Hellsvik , L. Nordström

We present fully nonlinear dissipative fluid dynamics simulations of a trapped two-dimensional Fermi gas at unitarity using a Lattice Boltzmann algorithm. We are able to simulate non-harmonic trapping potentials, temperature-dependent…

Quantum Gases · Physics 2016-01-27 Jasmine Brewer , Miller Mendoza , Ryan E. Young , Paul Romatschke

We present Monte Carlo simulations of the lattice gas with nearest-neighbor exclusion and Kawasaki (hopping) dynamics, under the influence of a nonuniform drive, on the square lattice. The drive, which favors motion along the +$x$ and…

Statistical Mechanics · Physics 2009-11-11 Fabricio Q. Potiguar , Ronald Dickman

We introduce an anisotropic two-dimensional lattice gas model of metal terminated II-IV(001) seminconductor surfaces. Important properties of this class of materials are represented by effective NN and NNN interactions, which result in the…

Statistical Mechanics · Physics 2009-10-31 Michael Biehl , Martin Ahr , Wolfgang Kinzel , Moritz Sokolowski , Thorsten Volkmann

The distribution of the largest fragment is studied in different regions of the Lattice Gas model phase diagram. We show that first and second order transitions can be clearly distinguished in the grancanonical ensemble, while signals…

Nuclear Theory · Physics 2007-05-23 Francesca Gulminelli , Philippe Dr Chomaz

Recent experiments show that periodic modulations of cold atoms in optical lattices may be used to engineer and explore interesting models. We show that double modulation, combining lattice shaking and modulated interactions allows for the…

Quantum Gases · Physics 2014-11-05 Sebastian Greschner , Luis Santos , Dario Poletti

We study lattice gas systems on the honeycomb lattice where particles exclude neighboring sites up to order $k$ ($k=1\ldots5$) from being occupied by another particle. Monte Carlo simulations were used to obtain phase diagrams and…

Soft Condensed Matter · Physics 2020-07-01 Filipe C. Thewes , Heitor C. M. Fernandes

We study a two-species bosonic Hubbard model on a two-dimensional square lattice by means of quantum Monte Carlo simulations. In addition to the usual contact repulsive interactions between the particles, the Hamiltonian has an…

Quantum Gases · Physics 2012-05-22 L. de Forges de Parny , F. Hébert , V. G. Rousseau , R. T. Scalettar , G. G. Batrouni

We develop a lattice-based Monte Carlo simulation method for charged mixtures capable of treating dielectric heterogeneities. Using this method, we study oil-water mixtures containing an antagonistic salt, with hydrophilic cations and…

Soft Condensed Matter · Physics 2017-11-29 Nikos Tasios , Sela Samin , René van Roij , Marjolein Dijkstra

The Ising lattice gas, with its well known equilibrium properties, displays a number of surprising phenomena when driven into non-equilibrium steady states. We study such a model with anisotropic interparticle interactions ($J_{\Vert }\neq…

Statistical Mechanics · Physics 2015-06-25 L. B. Shaw , B. Schmittmann , R. K. P. Zia

We consider a binary mixture of colloid and polymer particles with positions on a simple cubic lattice. Colloids exclude both colloids and polymers from nearest neighbor sites. Polymers are treated as effective particles that are mutually…

Statistical Mechanics · Physics 2007-07-18 Jose A. Cuesta , Luis Lafuente , Matthias Schmidt