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The phase transition of a fluid adsorbed in a heterogeneous system is studied with two simple lattice gas models within the framework of a mean-field theory. Despite the different origin of the heterogeneity (spatial variation of binding…

Statistical Mechanics · Physics 2007-05-23 E. V. Vakarin , W. Dong , J. P. Badiali

We explore the thermodynamic behavior of gases adsorbed within a nanopore. The theoretical description employs a simple lattice gas model, with two species of site, expected to describe various regimes of adsorption and condensation…

Statistical Mechanics · Physics 2009-11-07 Raluca A. Trasca , M. Mercedes Calbi , Milton W. Cole

Using Monte Carlo simulations we study crystallization in the three-dimensional Ising model with four-spin interaction. We monitor the morphology of crystals which grow after placing crystallization seeds in a supercooled liquid. Defects in…

Materials Science · Physics 2009-11-07 A. Lipowski , D. Johnston

We propose a simple microscopic model of molecular dynamics simulation to study orientational glass in three dimensions. We present simulation results for mixtures of mildly anisotropic particles and spherical impurities. We realize fcc…

Soft Condensed Matter · Physics 2012-10-29 Kyohei Takae , Akira Onuki

A simple d-dimensional lattice model is proposed, incorporating some degree of frustration and thus capable of describing some aspects of molecular orientation in covalently bound molecular solids. For d=2 the model is shown to be…

Condensed Matter · Physics 2009-10-30 Fabio Siringo

We theoretically examine the vortex states of a gas of trapped quasi-two-dimensional ultracold bosons subject to a density-dependent gauge potential, realizing an effective nonlinear rotation of the atomic condensate, which we also show is…

Quantum Gases · Physics 2020-10-28 Matthew Edmonds , Muneto Nitta

We consider an active Ising model in which spins both diffuse and align on lattice in one and two dimensions. The diffusion is biased so that plus or minus spins hop preferably to the left or to the right, which generates a flocking…

Statistical Mechanics · Physics 2013-09-09 A. Solon , J. Tailleur

We study the adsorption-desorption of fluid molecules on a solid substrate by introducing a schematic model in which the adsorption/desorption transition probabilities are given by irreversible kinetic constraints with a tunable violation…

Statistical Mechanics · Physics 2019-11-27 Mauro Sellitto

The statistical thermodynamics of polyatomic species mixtures adsorbed on two-dimensional substrates was developed on a generalization in the spirit of the lattice-gas model and the classical Guggenheim-DiMarzio approximation. In this…

Statistical Mechanics · Physics 2015-06-22 D. A. Matoz-Fernandez , A. J. Ramirez-Pastor

We introduce and solve a model of hardcore particles on a one dimensional periodic lattice which undergoes an active-absorbing state phase transition at finite density. In this model an occupied site is defined to be active if its left…

Statistical Mechanics · Physics 2009-07-28 Urna Basu , P. K. Mohanty

The "melting" of self-formed rigid structures made of a small number of interacting classical particles confined in an irregular two-dimensional space is investigated using Monte Carlo simulations. It is shown that the interplay of…

Disordered Systems and Neural Networks · Physics 2013-06-13 Dyuti Bhattacharya , Amit Ghosal

Through large-scale numerical simulations, we study the phase ordering kinetics of the $2d$ Ising Model after a zero-temperature quench from a high-temperature homogeneous initial condition. Analysing the behaviour of two important…

Statistical Mechanics · Physics 2018-09-19 F. Insalata , F. Corberi , L. F. Cugliandolo , M. Picco

Adsorption on a boundary line confining a monolayer of particles self-assembling into clusters is studied by MC simulations. We focus on a system of particles interacting via competing interaction potential in which effectively short-range…

Soft Condensed Matter · Physics 2020-01-22 E. Bildanau , J. Pȩkalski , V. Vikhrenko , A. Ciach

We consider rapid cooling processes in classical, 3-dimensional, purely repulsive binary mixtures in which an initial infinite-temperature (ideal-gas) configuration is instantly quenched to zero temperature. It is found that such systems…

Statistical Mechanics · Physics 2020-06-23 Pedro Antonio Santos-Flórez , Maurice de Koning

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

We examine a two-dimensional nonequilibrium lattice model where particles adsorb at empty sites and desorb when the number of neighbouring particles is greater than a given threshold. In a certain range of parameters the model exhibits…

Statistical Mechanics · Physics 2019-07-03 Adam Lipowski , Dorota Lipowska

In many condensed matter systems, long range order emerges at low temperatures as thermal fluctuations subside. In the presence of competing interactions or quenched disorder, however, some systems can show unusual configurations that…

Disordered Systems and Neural Networks · Physics 2025-10-02 Yang Zhang , Suk Hyun Sung , Colin B. Clement , Sang-Wook Cheong , Ismail El Baggari

Aligning self-propelled particles undergo a nonequilibrium flocking transition from apolar to polar phases as their interactions become stronger. We propose a thermodynamically consistent lattice model, in which the internal state of the…

Statistical Mechanics · Physics 2025-08-08 Karel Proesmans , Gianmaria Falasco , Atul Tanaji Mohite , Massimiliano Esposito , Étienne Fodor

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

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