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Related papers: Wang-Landau study of lattice gases on geodesic gri…

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We consider a lattice-gas model with an infinite range pairwise noncovex interaction. It might be relevant, for example, for adsorption of alkaline elements on W(112) and Mo(112). We study a competition between the effective dipole-dipole…

Condensed Matter · Physics 2009-10-28 Cz. Oleksy , J. Lorenc

We present a three-dimensional lattice-gas model with trivial thermodynamics, but nontrivial dynamics. The model is characterized by each particle having its own random energy landscape. The equilibrium dynamics of the model were…

Soft Condensed Matter · Physics 2012-03-27 Ulf R. Pedersen , Tina Hecksher , Jeppe C. Dyre , Thomas B. Schrøder

We analyze the thermodynamical potential of a lattice gas model with three components and five parameters using the methods of Catastrophe Theory. We find the highest singularity, which has codimension five, and establish its…

Statistical Mechanics · Physics 2009-10-30 J. Gaite , J. Margalef-Roig , S. Miret-Artés

Wang-Landau sampling has been applied to investigate the thermodynamics and structural properties of a lattice hydrophobic-polar heteropolymer (the HP protein model) interacting with an attractive substrate. For simplicity, we consider a…

Soft Condensed Matter · Physics 2013-01-16 Ying Wai Li , Thomas Wüst , David P. Landau

We consider a Lattice Gas model in which the sites interact via infinite-ranged random couplings independently distributed with a Gaussian probability density. This is the Lattice Gas analogue of the well known Sherrington-Kirkpatrick Ising…

Statistical Mechanics · Physics 2009-10-30 Francesco M. Russo

We study a lattice model of attractive colloids. It is exactly solvable on sparse random graphs. As the pressure and temperature are varied it reproduces many characteristic phenomena of liquids, glasses and colloidal systems such as ideal…

Soft Condensed Matter · Physics 2008-10-15 Florent Krzakala , Marco Tarzia , Lenka Zdeborová

Using transfer matrix and finite-size scaling methods, we study the thermodynamic behavior of a lattice gas with two kinds of particles on the square lattice. Only excluded volume interactions are considered, so that the model is athermal.…

Statistical Mechanics · Physics 2015-09-03 T. J. Oliveira , J. F. Stilck

An analysis of the random lattice gas in the annealed limit is presented. The statistical mechanics of disordered lattice systems is briefly reviewed. For the case of the lattice gas with an arbitrary uniform interaction potential and…

Statistical Mechanics · Physics 2011-11-09 A. P. Vieira , L. L. Goncalves

In this work, we study and evaluate the impact of a periodic spin-lattice coupling in an Ising-like system on a 2D triangular lattice. Our proposed simple Hamiltonian considers this additional interaction as an effect of preferential phonon…

Statistical Mechanics · Physics 2024-01-30 R. M. L. Nascimento , Claudio J. DaSilva , L. S. Ferreira , A. A. Caparica

A granular media lattice gas (GMLG) model is used to study avalanches in a two-dimensional granular pile. We demonstrate the efficiency of the algorithm by showing that several features of the non-critical behaviour of real sandpile…

Soft Condensed Matter · Physics 2009-10-30 Antal Karolyi , Janos Kertesz

We introduce a lattice spin model that mimics a system of interacting particle through a short range repulsive potential and a long range attractive power law decaying potential. We performed a detailed analysis of the general equilibrium…

Disordered Systems and Neural Networks · Physics 2009-08-31 Omar Osenda , Francisco A. Tamarit , Sergio A. Cannas

The adsorbed atoms exhibit tendency to occupy a triangular lattice formed by periodic potential of the underlying crystal surface. Such a lattice is formed by, e.g., a single layer of graphane or the graphite surfaces as well as (111)…

Strongly Correlated Electrons · Physics 2021-05-05 Konrad Jerzy Kapcia

We report recent simulation results which might indicate the existence of a new low-temperature "phase" in an Ising lattice gas, driven into a non-equilibrium steady state by an external field. It appears that this "phase", characterized by…

Statistical Mechanics · Physics 2009-10-31 R. K. P. Zia , L. B. Shaw , B. Schmittmann

We investigate a lattice-fluid model of water, defined on a three-dimensional body centered cubic lattice. Model molecules possess a tetrahedral symmetry, with four equivalent bonding arms, aiming to mimic the formation of hydrogen bonds.…

Soft Condensed Matter · Physics 2009-11-10 M. Pretti , C. Buzano

Monte Carlo simulations have been used to study the phase diagrams for square Ising-lattice gas models with two-body and three-body interactions for values of interaction parameters in a range that has not been previously considered. We…

Statistical Mechanics · Physics 2015-05-14 Junqi Yin , D. P. Landau

A binary lattice gas model that allows for multiple occupancy of lattice sites, inspired by recent coarse-grained descriptions of solutions of interacting polymers, is investigated by combining the steepest descent approximation with an…

Soft Condensed Matter · Physics 2007-05-23 Reimar Finken , Jean-Pierre Hansen , Ard Louis

We study a one-dimensional lattice gas "dynamical geometry model" in which local reversible interactions of counter-rotating groups of particles on a ring can create or destroy lattice sites. We exhibit many periodic orbits and and show…

Cellular Automata and Lattice Gases · Physics 2010-11-05 Karin Baur , Jeffrey M. Rabin , David A. Meyer

The theory of statistical-mechanical lattice-gas modeling of adsorption is reviewed and shown to be applicable to a range of electrochemical problems dominated by effective, lateral adsorbate--adsorbate interactions. A general strategy for…

Condensed Matter · Physics 2007-05-23 P. A. Rikvold , J. Zhang , Y. -E. Sung , A. Wieckowski

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

A mixed spin-1/2 and spin-3/2 Ising model on a decorated square lattice with a nearest- neighbor interaction, next-nearest-neighbor bilinear interaction, three-site four-spin in- teraction and single-ion anisotropy is exactly investigated…

Statistical Mechanics · Physics 2017-08-23 Viliam Štubňa , Michal Jaščur