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Related papers: Diffusion Anomaly in an Associating Lattice Gas Mo…

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We study an associating lattice gas (ALG) using Monte Carlo simulation and solutions on Husimi lattices. In this model, the molecules have an orientational degree of freedom and the interactions depend on the relative orientations of…

Statistical Mechanics · Physics 2019-08-14 A. P. Furlan , Tiago J. Oliveira , Jürgen F. Stilck , Ronald Dickman

Using molecular dynamics simulations, we study a liquid model which consists of particles interacting via a spherically-symmetric two-scale Jagla ramp potential with both repulsive and attractive ramps. The Jagla potential displays…

Soft Condensed Matter · Physics 2009-11-11 Limei Xu , Sergey V. Buldyrev , C. Austen Angell , H. Eugene Stanley

We study the dynamics of particles in a multi-component 2d Lennard-Jones (LJ) fluid in the limiting case where {\it all the particles are different} (APD). The equilibrium properties of this APD system were studied in our earlier work…

Soft Condensed Matter · Physics 2016-06-22 Lenin S. Shagolsem , Yitzhak Rabin

We studied damage spreading in a Driven Lattice Gas (DLG) model as a function of the temperature $T$, the magnitude of the external driving field $E$, and the lattice size. The DLG model undergoes an order-disorder second-order phase…

Statistical Mechanics · Physics 2015-06-11 M. Leticia Rubio Puzzo , Gustavo P. Saracco , Ezequiel V. Albano

We review the critical behaviour of the Driven Lattice Gas (DLG) model. As a result, we obtain a novel Langevin equation for the DLG which depends on the microscopic transition probabilities. We then show how this dependence affects the…

Condensed Matter · Physics 2015-06-25 F. de los Santos , P. L. Garrido

Using the methods of computer modeling this scientific paper studies the special features of diffusion of the particles subjected to the external periodic force in the crystal lattice. The particle motion is described by a Langevin…

Statistical Mechanics · Physics 2011-11-04 I. G. Marchenko , I. I. Marchenko

Diffusion occurs in numerous physical systems throughout nature, drawing its generality from the universality of the central limit theorem. Around a century ago it was realized that an extension to this type of dynamics can be obtained in…

Statistical Mechanics · Physics 2023-10-04 Gadi Afek , Nir Davidson , David A. Kessler , Eli Barkai

We extend recent results on the exact hydrodynamics of a system of diffusive active particles displaying a motility-induced phase separation to account for typical fluctuations of the dynamical fields. By calculating correlation functions…

Statistical Mechanics · Physics 2021-08-26 Tal Agranov , Sunghan Ro , Yariv Kafri , Vivien Lecomte

We analyze the possible phase diagrams of a simple model for an associating liquid proposed previously. Our two-dimensional lattice model combines oreintati onal ice-like interactions and \"{}Van der Waals\"{} interactions which may be…

Soft Condensed Matter · Physics 2009-11-11 Vera B. Henriques , Nara Guisoni , Marco Aurelio Barbosa , Marcelo Thielo , Marcia C. Barbosa

We report results of molecular dynamics simulations to understand the role of solute and solute-solvent interaction on solute diffusivity in a solid solution within a body centered cubic solid when the solute size is significantly smaller…

Soft Condensed Matter · Physics 2008-11-25 Manju Sharma , S. Yashonath

The relation between liquid-liquid phase transitions and waterlike density anomalies in core-softened potentials of fluids was investigated in an exactly solvable one dimensional lattice model and a in a three dimensional fluid with…

Soft Condensed Matter · Physics 2015-03-11 Marco Aurélio A. Barbosa , Evy Salcedo , Marcia Barbosa

Conserved lattice gas (CLG) models in one dimension exhibit absorbing state phase transition (APT) with simple integer exponents $\beta=1=\nu=\eta$ whereas the same on a ladder belong to directed percolation (DP)universality. We conjecture…

Statistical Mechanics · Physics 2017-10-18 Arijit Chatterjee , P. K. Mohanty

Heat transport in one-dimensional (1D) momentum-conserving lattices is generally assumed to be anomalous, thus yielding a power-law divergence of thermal conductivity with system length. However, whether heat transport in two-dimensional…

Statistical Mechanics · Physics 2020-01-29 Jian Wang , Tian-xing Liu , Xiao-zhi Luo , Xiu-Lian Xu , Nianbei Li

We study in detail the active Ising model, a stochastic lattice gas where collective motion emerges from the spontaneous breaking of a discrete symmetry. On a 2d lattice, active particles undergo a diffusion biased in one of two possible…

Statistical Mechanics · Physics 2015-10-12 A. P. Solon , J. Tailleur

The divergence of the heat conductivity in the thermodynamic limit is investigated in 2d-lattice models of anharmonic solids with nearest-neighbour interaction from single-well potentials. Two different numerical approaches based on…

chao-dyn · Physics 2007-05-23 A. Lippi , R. Livi

Kinetically-constrained models are lattice-gas models that are used for describing glassy systems. By construction, their equilibrium state is trivial and there are no equal-time correlations between the occupancy of different sites. We…

Statistical Mechanics · Physics 2017-03-01 Eial Teomy , Yair Shokef

We apply the concept of dynamic propensity to a simple kinetically constrained model of glass formers, the two-vacancy assisted triangular lattice gas, or (2)-TLG. We find that the propensity field, defined in our case as the local…

Statistical Mechanics · Physics 2009-11-11 Lester O. Hedges , Juan P. Garrahan

We numerically study the dynamics of cold atoms in a two-dimensional disordered potential. We consider an anisotropic speckle potential and focus on the classical regime, which is relevant to some recent experiments. First, we study the…

The ding-a-ling model is a kind of half lattice and half hard-point-gas (HPG) model. The original ding-a-ling model proposed by Casati {\it et.al} does not conserve total momentum and has been found to exhibit normal heat conduction…

Statistical Mechanics · Physics 2016-02-10 Zhibin Gao , Nianbei Li , Baowen Li

We investigate the relation between the dynamical features of a supercooled liquid and those of its potential energy landscape, focusing on a model liquid with density anomalies. We consider, at fixed temperature, pairs of state points with…

Soft Condensed Matter · Physics 2015-08-20 Massimo Pica Ciamarra , Peter Sollich