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Related papers: Driven Widom-Rowlinson lattice gas

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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

We explore the intriguing spatial patterns that emerge in a two-dimensional spatially inhomogeneous Katz-Lebowitz-Spohn (KLS) driven lattice gas with attractive nearest-neighbor interactions. The domain is split into two regions with…

Statistical Mechanics · Physics 2019-12-25 Ruslan I. Mukhamadiarov , Priyanka , Uwe C. Täuber

In multitype lattice gas models with hard-core interaction of Widom--Rowlinson type, there is a competition between the entropy due to the large number of types, and the positional energy and geometry resulting from the exclusion rule and…

Probability · Mathematics 2010-03-16 H. -O. Georgii , V. Zagrebnov

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 explore a variant of the Katz-Lebowitz-Spohn (KLS) driven lattice gas in two dimensions, where the lattice is split into two regions that are coupled to heat baths with distinct temperatures. The temperature boundaries are oriented…

Statistical Mechanics · Physics 2020-11-30 Ruslan I. Mukhamadiarov , Priyanka , Uwe C. Täuber

An investigation of the two-dimensional Widom-Rowlinson lattice gas under an applied drive uncovered a remarkable non-equilibrium steady state in which uniform stripes (reminiscent of an equilibrium lamellar phase) form perpendicular to the…

Statistical Mechanics · Physics 2021-12-30 Maxim O. Lavrentovich , Ronald Dickman , R. K. P. Zia

In the lattice version of the multicomponent Widom-Rowlinson (WR) model, each site can be either empty or singly occupied by one of $M$ different particles, all species having the same fugacity $z$. The only nonzero interaction potential is…

Statistical Mechanics · Physics 2016-01-05 Roman Krčmár , Ladislav Šamaj

We study a two-lane driven lattice gas model with oppositely directed particles moving on two periodic lanes with correlated lane switching processes, so that particles can switch lanes with finite probability only when oppositely directed…

Statistical Mechanics · Physics 2015-06-18 Sudipto Muhuri

We consider several one-dimensional driven lattice gas models that show a phase transition in the stationary state between a high-density fluid phase in which the particles are homogeneously distributed and a low-density jammed phase where…

Statistical Mechanics · Physics 2016-04-13 Priyanka , Kavita Jain

We investigate the critical behavior of the two-dimensional randomly driven lattice gas, in which particles are driven along one of the lattice axes by an infinite external field with randomly changing sign. A finite-size scaling (FSS)…

Statistical Mechanics · Physics 2007-10-31 Sergio Caracciolo , Andrea Gambassi , Massimiliano Gubinelli , Andrea Pelissetto

We investigate pattern formation in a driven mixture of two repulsive particles by introducing a Field-based Lattice Model (FLM), a hybrid model that combines aspects of the driven Widom-Rowlison lattice gas (DWRLG) and its statistical…

Statistical Mechanics · Physics 2025-12-08 G. E. Freire Oliveira , R. Dickman , M. O. Lavrentovich , R. K. P. Zia

We study the dynamics of a particle moving in a square two-dimensional Lorentz lattice-gas. The underlying lattice-gas is occupied by two kinds of rotators, "right-rotator (R)" and "left-rotator (L)" and some of the sites are empty…

Soft Condensed Matter · Physics 2021-01-06 Pranay Bimal Sampat , Sameer Kumar , Shradha Mishra

The driven lattice gas (DLG) evolving at low temperature helps understanding the kinetics of pattern formation in unstable mixtures under anisotropic conditions. We here develop a simple theoretical description of kinetics in Monte Carlo…

Statistical Mechanics · Physics 2009-11-10 Pablo I. Hurtado , J. Marro , Pedro L. Garrido , E. V. Albano

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 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

We study boundary induced phase transitions in a driven lattice gas exhibiting metastability. The phase diagram for open systems, parameterized by the input and output rates, consists of two regions corresponding to the free flow and jammed…

Statistical Mechanics · Physics 2010-05-11 Cecile Appert , Ludger Santen

We develop n-cluster mean-field theories (0 < n < 5) for calculating the flow properties of the non-equilibrium steady-states of the Katz-Lebowitz-Spohn model of the driven diffusive lattice gas, with attractive and repulsive inter-particle…

Statistical Mechanics · Physics 2009-11-07 Debashish Chowdhury , Jian-Sheng Wang

We study three different lattice models in which two species of diffusing particles are driven in opposite directions by an electric field. We focus on dynamical phase transitions that involve phase separation into domains that may be…

Statistical Mechanics · Physics 2022-09-15 Honghao Yu , Kristian Thijssen , Robert L. Jack

We analyze a lattice model closely related to the one-dimensional inelastic gas with periodic boundary condition. The one-dimensional inelastic gas tends to form high density clusters of particles with almost the same velocity, separated by…

Soft Condensed Matter · Physics 2009-11-10 Srdjan Ostojic , Debabrata Panja , Bernard Nienhuis

Boundary-induced transport in particle systems with anomalous diffusion exhibits rectification, negative resistance, and hysteresis phenomena depending on the way the drive acts on the boundary. The solvable case of a 1D system…

Statistical Mechanics · Physics 2009-11-07 Mauro Sellitto
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