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A lattice gas with infinite repulsion between particles separated by $\leq 1$ lattice spacing, and nearest-neighbor hopping dynamics, is subject to a drive favoring movement along one axis of the square lattice. The equilibrium (zero drive)…

Statistical Mechanics · Physics 2009-10-31 Ronald Dickman

Monte Carlo simulations and dynamical mean-field approximations are performed to study the phase transition in a driven lattice gas with nearest-neighbor exclusion on a square lattice. A slight extension of the microscopic dynamics with…

Statistical Mechanics · Physics 2009-11-07 Attila Szolnoki , Gyorgy Szabo

We present a Monte Carlo study of a lattice gas driven out of equilibrium by a local hopping bias. Sites can be empty or occupied by one of two types of particles, which are distinguished by their response to the hopping bias. All particles…

Statistical Mechanics · Physics 2009-11-11 Edward Lyman , B. Schmittmann

We consider a two-dimensional lattice gas model with repulsive nearest- and next-nearest-neighbor interactions that evolves in time according to anisotropic Kawasaki dynamics. The hopping of particles along the principal directions is…

Condensed Matter · Physics 2007-05-23 Attila Szolnoki , Gyorgy Szabo

In the Widom-Rowlinson lattice gas, two particle species (A, B) diffuse freely via particle-hole exchange, subject to both on-site exclusion and prohibition of A-B nearest-neighbor pairs. As an athermal system, the overall densities are the…

Statistical Mechanics · Physics 2018-08-01 Ronald Dickman , R. K. P. Zia

We obtain the phase diagram of the hard core lattice gas with third nearest neighbor exclusion on the triangular lattice using Monte Carlo simulations that are based on a rejection-free flat histogram algorithm. In a recent paper [J. Chem.…

Statistical Mechanics · Physics 2022-01-05 Asweel Ahmed A. Jaleel , Dipanjan Mandal , R. Rajesh

We study the steady state of a phase-separated driven Ising lattice gas in three dimensions using computer simulations with Kawasaki dynamics. An external force field F(z) acts in the x direction parallel to the interface, creating a…

Statistical Mechanics · Physics 2015-05-19 Thomas H. R. Smith , Oleg Vasilyev , Anna Maciołek , Matthias Schmidt

We study dynamics of a phase boundary in a one-dimensional lattice gas, which is initially put into a non-equilibrium configuration and then is let to evolve in time by particles performing nearest-neighbor random walks constrained by…

Statistical Mechanics · Physics 2007-05-23 G. Oshanin , J. De Coninck , M. Moreau , S. F. Burlatsky

In equilibrium, the effect of a spatially localised perturbation is typically confined around the perturbed region. Quite contrary to this, in a non-equilibrium stationary state often the entire system is affected. This appears to be a…

Statistical Mechanics · Physics 2015-05-07 Tridib Sadhu , Satya N. Majumdar , David Mukamel

We use a phase-separated driven two-dimensional Ising lattice gas to study fluid interfaces exposed to shear flow parallel to the interface. The interface is stabilized by two parallel walls with opposing surface fields and a driving field…

Statistical Mechanics · Physics 2009-11-13 Thomas H. R. Smith , Oleg Vasilyev , Douglas B. Abraham , Anna Maciołek , Matthias Schmidt

The global phase behavior of the lattice restricted primitive model with nearest neighbor exclusion has been studied by grand canonical Monte Carlo simulations. The phase diagram is dominated by a fluid (or charge-disordered solid) to…

Soft Condensed Matter · Physics 2009-11-11 Alexandre Diehl , Athanassios Z. Panagiotopoulos

We study the $k$-NN hard core lattice gas model in which the first $k$ next nearest neighbor sites of a particle are excluded from occupation by other particles on a two dimensional square lattice. This model is the lattice version of the…

Statistical Mechanics · Physics 2016-06-22 Trisha Nath , R. Rajesh

Motivated by recent studies of colloidal particles in optical tweezer arrays, we study a two-dimensional model of a colloidal suspension in a periodic potential. The particles tend to stay near potential minima, approximating a lattice gas.…

Statistical Mechanics · Physics 2009-11-13 Fabricio Q. Potiguar , Ronald DIckman

Driven lattice gases serve as canonical models for investigating collective transport phenomena and properties of non-equilibrium steady states (NESS). Here we study one-dimensional transport with nearest-neighbor interactions both in…

Statistical Mechanics · Physics 2013-08-13 Marcel Dierl , Mario Einax , Philipp Maass

Using Monte Carlo Simulation and fundamental measure theory we study the phase diagram of a two-dimensional lattice gas model with a nearest neighbor hard core exclusion and a next-to-nearest neighbors finite repulsive interaction. The…

Soft Condensed Matter · Physics 2012-02-02 Noe G. Almarza , Jose A. Capitan , Jose A. Cuesta , Enrique Lomba

We present Monte Carlo simulations of a three-state lattice gas, half-filled with two types of particles which attract one another, irrespective of their identities. A bias drives the two particle species in opposite directions,…

Statistical Mechanics · Physics 2009-11-07 E. Lyman , B. Schmittmann

Monte Carlo simulations are used to study lattice gases of particles with extended hard cores on a two dimensional square lattice. Exclusions of one and up to five nearest neighbors (NN) are considered. These can be mapped onto hard squares…

Statistical Mechanics · Physics 2007-05-23 Heitor C. Marques Fernandes , Jeferson J. Arenzon , Yan Levin

A lattice version of the driven inelastic Maxwell gas is studied in one dimension with periodic boundary conditions. Each site $i$ of the lattice is assigned with a scalar `velocity', $v_i$. Nearest neighbors on the lattice interact, with a…

Statistical Mechanics · Physics 2017-03-10 V. V. Prasad , Sanjib Sabhapandit , Abhishek Dhar , Onuttom Narayan

We study driven particle systems with excluded volume interactions on a two-lane ladder with periodic boundaries, using Monte Carlo simulation, cluster mean-field theory, and numerical solution of the master equation. Particles in one lane…

Statistical Mechanics · Physics 2009-11-13 Ronald Dickman , Ronaldo R. Vidigal

We have investigated the non-equilibrium nature of a lattice gas system consisting of a regular lattice of charged particles driven by an external electric field. For a big system, an exact solution cannot be obtained using a master…

Statistical Mechanics · Physics 2007-05-23 Wannapong Triampo , I Ming Tang , Jirasak Wong-Ekkabut
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