Description

Book Synopsis

In this book, Robert Israel considers classical and quantum lattice systems in terms of equilibrium statistical mechanics. He is especially concerned with the characterization of translation-invariant equilibrium states by a variational principle and the use of convexity in studying these states. Arthur Wightman's Introduction gives a general and h



Table of Contents
*Frontmatter, pg. i*CONTENTS, pg. vii*INTRODUCTION. Convexity and the Notion of Equilibrium State in Thermodynamics and Statistical Mechanics, pg. ix*I. Interactions, pg. 1*II. Tangent Functionals and the Variational Principle, pg. 32*III. DLR Equations and KMS Conditions, pg. 55*IV. Decomposition of States, pg. 83*V. Approximation by Tangent Functionals: Existence of Phase Transitions, pg. 112*VI. The Gibbs Phase Rule, pg. 130*APPENDIX ALPHA. Hausdorff Measure and Dimension, pg. 143*APPENDIX B. Classical Hard-Core Continuous Systems, pg. 153*BIBLIOGRAPHY, pg. 163*INDEX, pg. 166

Convexity in the Theory of Lattice Gases

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    A Paperback by Robert B. Israel

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      Publisher: Princeton University Press
      Publication Date: 2/16/2015 12:00:00 AM
      ISBN13: 9780691606194, 978-0691606194
      ISBN10: 0691606196
      Also in:
      Science: general issues

      Description

      Book Synopsis

      In this book, Robert Israel considers classical and quantum lattice systems in terms of equilibrium statistical mechanics. He is especially concerned with the characterization of translation-invariant equilibrium states by a variational principle and the use of convexity in studying these states. Arthur Wightman's Introduction gives a general and h



      Table of Contents
      *Frontmatter, pg. i*CONTENTS, pg. vii*INTRODUCTION. Convexity and the Notion of Equilibrium State in Thermodynamics and Statistical Mechanics, pg. ix*I. Interactions, pg. 1*II. Tangent Functionals and the Variational Principle, pg. 32*III. DLR Equations and KMS Conditions, pg. 55*IV. Decomposition of States, pg. 83*V. Approximation by Tangent Functionals: Existence of Phase Transitions, pg. 112*VI. The Gibbs Phase Rule, pg. 130*APPENDIX ALPHA. Hausdorff Measure and Dimension, pg. 143*APPENDIX B. Classical Hard-Core Continuous Systems, pg. 153*BIBLIOGRAPHY, pg. 163*INDEX, pg. 166

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