The Statistical Mechanics of Lattice Gases, Volume I :The Statistical Mechanics of Lattice Gases, Volume I ( Princeton Legacy Library )

Publication subTitle :The Statistical Mechanics of Lattice Gases, Volume I

Publication series :Princeton Legacy Library

Author: Simon Barry;;;  

Publisher: Princeton University Press‎

Publication year: 2014

E-ISBN: 9781400863433

P-ISBN(Paperback): 9780691087795

Subject: O414.2 statistical physics

Keyword: 物理学

Language: ENG

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Description

A state-of-the-art survey of both classical and quantum lattice gas models, this two-volume work will cover the rigorous mathematical studies of such models as the Ising and Heisenberg, an area in which scientists have made enormous strides during the past twenty-five years. This first volume addresses, among many topics, the mathematical background on convexity and Choquet theory, and presents an exhaustive study of the pressure including the Onsager solution of the two-dimensional Ising model, a study of the general theory of states in classical and quantum spin systems, and a study of high and low temperature expansions. The second volume will deal with the Peierls construction, infrared bounds, Lee-Yang theorems, and correlation inequality.

This comprehensive work will be a useful reference not only to scientists working in mathematical statistical mechanics but also to those in related disciplines such as probability theory, chemical physics, and quantum field theory. It can also serve as a textbook for advanced graduate students.

Originally published in 1993.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase ac

Chapter

Contents

Introduction

I. Preliminaries

II. The Pressure

III. States: The Classical Case

IV. States: The Quantum Case

V. High Temperature and Low Densities

References

Index

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