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Related papers: Three-state active lattice gas: a discrete Vicsekl…

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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 present a fluctuating hydrodynamic description of an active lattice gas model with excluded volume interactions that exhibits motility-induced phase separation under appropriate conditions. For quasi-one dimension and higher, stability…

Statistical Mechanics · Physics 2025-10-20 Ritwik Mukherjee , Soumyabrata Saha , Tridib Sadhu , Abhishek Dhar , Sanjib Sabhapandit

We study a lattice-gas model of penetrable particles on a square-lattice substrate with same-site and nearest-neighbor interactions. Penetrability implies that the number of particles occupying a single lattice site is unlimited and the…

Soft Condensed Matter · Physics 2020-08-21 Derek Frydel , Yan Levin

We introduce a discrete-time quantum dynamics on a two-dimensional lattice that describes the evolution of a $1+1$-dimensional spin system. The underlying quantum map is constructed such that the reduced state at each time step is…

Quantum Physics · Physics 2019-02-11 I. Lesanovsky , Katarzyna Macieszczak , Juan P. Garrahan

We explore phase separation and kinetic arrest in a model active colloidal system consisting of self-propelled, hard-core particles with nonconvex shapes. The passive limit of the model, namely cross-shaped particles on a square lattice,…

Soft Condensed Matter · Physics 2020-05-11 Carl Merrigan , Kabir Ramola , Rakesh Chatterjee , Nimrod Segall , Yair Shokef , Bulbul Chakraborty

We analyze the macroscopic dynamics of a Bose gas in a harmonic trap with a superimposed two-dimensional optical lattice, assuming a weak coupling between different lattice sites. We consider the situation in which the local chemical…

Condensed Matter · Physics 2009-11-10 P. Pedri , L. Santos

We study several examples of kinetically constrained lattice models using dynamically accessible volume as an order parameter. Thereby we identify two distinct regimes exhibiting dynamical slowing, with a sharp threshold between them. These…

Statistical Mechanics · Physics 2009-11-11 Aonghus Lawlor , Paolo De Gregorio , Phil Bradley , Mauro Sellitto , Kenneth A. Dawson

We study the phase diagram of a system of $2\times 2\times 1$ hard plates on the three dimensional cubic lattice, {\em i.e.} a lattice gas of plates that each cover an elementary plaquette of the cubic lattice and occupy its four vertices,…

Statistical Mechanics · Physics 2023-07-12 D. Mandal , G. Rakala , K. Damle , D. Dhar , R. Rajesh

We introduce a three-dimensional lattice gas model to study the glass transition. In this model the interactions come from the excluded volume and particles have five arms with an asymmetrical shape, which results in geometric frustration…

Statistical Mechanics · Physics 2007-05-23 Anastasio Díaz-Sánchez

Off-equilibrium dynamics of a three-dimensional lattice model with nearest- and next nearest-neighbors exclusions is studied. At equilibrium, the model undergoes a first-order fluid-solid transition. Non-equilibrium filling, through random…

Statistical Mechanics · Physics 2015-05-30 H. Levit , Z. Rotman , E. Eisenberg

A model is proposed that describes the evolution of a mixed state of a quantum system for which gain and loss of energy or amplitude are present. Properties of the model are worked out in detail. In particular, invariant subspaces of the…

Quantum Physics · Physics 2012-12-06 Dorje C. Brody , Eva-Maria Graefe

We use the classical version of the density-functional theory in the weighted-density approximation to build up the entire phase diagram and the interface structure of a two-dimensional lattice-gas model which is known, from previous…

Statistical Mechanics · Physics 2011-10-25 S. Prestipino , P. V. Giaquinta

We numerically investigate the long-time behavior of the density-density auto-correlation function in driven lattice gases with particle exclusion and periodic boundary conditions in one, two, and three dimensions using precise Monte Carlo…

Statistical Mechanics · Physics 2011-05-06 George L. Daquila , Uwe C. Tauber

We study the different phases and the phase transitions in a system of $Y$-shaped particles, examples of which include Immunoglobulin-G and trinaphthylene molecules, on a triangular lattice interacting exclusively through excluded volume…

Statistical Mechanics · Physics 2018-04-04 Dipanjan Mandal , Trisha Nath , R. Rajesh

We show that low density homogeneous phases of self propelled hard disks exhibit a transition from isotropic to polar collective motion, albeit of a qualitatively distinct class from the Vicsek one. In the absence of noise, an abrupt…

Soft Condensed Matter · Physics 2016-01-19 Khanh-Dang Nguyen Thu Lam , Michael Schindler , Olivier Dauchot

Orbits in a three-dimensional potential subjected to periodic driving, V(x^i,t)=[1+m_0 sin(omega t) V_0(x^i), divide naturally into two types, regular and chaotic, between which transitions are seemingly impossible. The chaotic orbits…

Astrophysics · Physics 2007-05-23 Balsa Terzic , Henry E. Kandrup

The nonequilibrium dynamics of a cycling three-state Potts model is studied on a square lattice using Monte Carlo simulations and continuum theory. This model is relevant to chemical reactions on a catalytic surface and to molecular…

Statistical Mechanics · Physics 2024-10-08 Hiroshi Noguchi , Jean-Baptiste Fournier

Athermal lattice gases of particles with first neighbor exclusion have been studied for a long time as simple models exhibiting a fluid-solid transition. At low concentration the particles occupy randomly both sublattices, but as the…

Statistical Mechanics · Physics 2011-11-10 T. J. Oliveira , J. F. Stilck

We reconsider model II of [J. Chem. Phys. 1968, 49, 1778--1783], a two-dimensional lattice-gas system featuring a crystalline phase and two distinct fluid phases (liquid and vapor). In this system, a particle prevents other particles from…

Statistical Mechanics · Physics 2022-04-01 Santi Prestipino , Gabriele Costa

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