The Statistical Mechanics of Lattice Gases, Volume I

Barry Simon

Published by Princeton University Press 1993

The Statistical Mechanics of Lattice Gases, Volume I

Barry Simon

Volume 260 in the series Princeton Legacy Library

https://doi.org/10.1515/9781400863433

Overview
Contents

About this book

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 access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Reviews

This book, as many of Simon's works, is destined to become a classic reference text.... The book is almost completely self-contained, as the author gives definitions and proofs of the needed mathematical background, ranging from rather basic theorems of analysis, to the most advanced ones.

Topics

Frontmatter Publicly Available Download PDF	i
Contents Publicly Available Download PDF	vii
Introduction Requires Authentication Unlicensed Licensed Download PDF	xi
Chapter I. Preliminaries Requires Authentication Unlicensed Licensed Download PDF	3
Chapter II. The Pressure Requires Authentication Unlicensed Licensed Download PDF	97
Chapter III. States: The Classical Case Requires Authentication Unlicensed Licensed Download PDF	235
Chapter IV. States: The Quantum Case Requires Authentication Unlicensed Licensed Download PDF	337
Chapter V. High Temperature and Low Densities Requires Authentication Unlicensed Licensed Download PDF	400
References Requires Authentication Unlicensed Licensed Download PDF	501
Index Requires Authentication Unlicensed Licensed Download PDF	521

(Deutsch)