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A Lattice-Gas with Long-Range Interactions Coupled to a Heat Bath

1994/03/18 by Jeffrey Yepez, Yepez, Jeffrey
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cellular Automata and Lattice Gases (nlin.CG) #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.comp-gas/9403004

openalex publication_date 1994/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Introduced is a lattice-gas with long-range 2-body interactions. An effective inter-particle force is mediated by momentum exchanges. There exists the possibility of having both attractive and repulsive interactions using finite impact parameter collisions. There also exists an interesting possibility of coupling these long-range interactions to a heat bath. A fixed temperature heat bath induces a permanent net attractive interparticle potential, but at the expense of reversibility. Thus the long-range dynamics is a kind of a Monte Carlo Kawasaki updating scheme. The model has a PρT equation of state. Presented are analytical and numerical results for the a lattice-gas fluid governed by a nonideal equation of state. The model's complexity is not much beyond that of the FHP lattice-gas. It is suitable for massively parallel processing and may be used to study critical phenomena in large systems.

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