Statistical-mechanical models with separable many-body interactions: Especially partition functions and thermodynamic consequences
type: Item
instance of: scholarly article
title: Statistical-mechanical models with separable many-body interactions: Especially partition functions and thermodynamic consequences
zbMATH Open document ID: 1310.82004
publication date: 2010-03-02T00:00:00Z
review text: The authors discuss four statistical-mechanical models with many-body interactions: the statistical-mechanical model of a homogeneous classical liquid with assumed central pair force, the statistical-model of a two-dimensional Coulomb one-component plasma for a specific coupling strength, the quantal canonical density matrix and Slater sum for non-interacting uniform electron liquid made inhomogeneous by switching on a one-body potential and the 3D Ising model. Two of these models are amenable to exact treatment while interesting partial results are derived for the other ones. The paper concludes with a conjecture on the exact solution of the 3D Ising model.
Mathematics Subject Classification ID: 82B05
Mathematics Subject Classification ID: 82D15
Mathematics Subject Classification ID: 82B20
Mathematics Subject Classification ID: 82D10
zbMATH DE Number: 5676539
zbMATH Keywords: statistical-mechanical models
zbMATH Keywords: many-body interactions
zbMATH Keywords: partition functions
zbMATH Keywords: thermodynamic consequences
author: N. H. March
author: Zhidong Zhang
reviewed by: Guy Jumarie
MaRDI profile type: Publication
full work available at URL: s10910-009-9575-8
OpenAlex ID: W2149521122
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DOI: 10.1007/S10910-009-9575-8
published in: Journal of Mathematical Chemistry
description: scientific article; zbMATH DE number 5676539