Overview
- Editors:
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Bruno Nachtergaele
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Department of Mathematics, University of California, Davis, USA
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Jan Philip Solovej
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Department of Mathematics, University of Copenhagen, Copenhagen, Denmark
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Jakob Yngvason
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Institut für Theoretische Physik, Universität Wien, Wien, Austria
- The papers collected in this volume written by one of the leading mathematical physicists are considered as outstanding accomplishments in statistical mechanics research.
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Table of contents (28 chapters)
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Reflection Positivity
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- Ole J. Heilmann, Elliott H. Lieb
Pages 299-313
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- Tom Kennedy, Elliott H. Lieb, B. Sriram Shastry
Pages 315-326
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- Tom Kennedy, Elliott H. Lieb, B. Sriram Shastry
Pages 327-329
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Classical Thermodynamics
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Front Matter
Pages 331-331
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- Michael Aizenman, Elliott H. Lieb
Pages 333-351
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- Elliott H. Lieb, Jakob Yngvason
Pages 353-363
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- Elliott H. Lieb, Jakob Yngvason
Pages 365-370
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Lattice Systems
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Front Matter
Pages 371-371
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- Z. Rieder, J. L. Lebowitz, E. Lieb
Pages 373-378
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- Herm Jan Brascamp, Elliot H. Lieb, Joel L. Lebowitz
Pages 379-390
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- Oscar E. Lanford III, Joel L. Lebowitz, Elliott H. Lieb
Pages 391-399
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- Jean Bricmont, Jean-Raymond Fontaine, Joel L. Lebowitz, Elliott H. Lieb, Thomas Spencer
Pages 401-422
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Miscellaneous
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Front Matter
Pages 423-423
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- Elliott H. Lieb, Derek W. Robinson
Pages 425-431
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- Elliott H. Lieb, Michael Loss
Pages 457-483
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Back Matter
Pages 485-505
About this book
In Statistical Physics one of the ambitious goals is to derive rigorously, from statistical mechanics, the thermodynamic properties of models with realistic forces. Elliott Lieb is a mathematical physicist who meets the challenge of statistical mechanics head on, taking nothing for granted and not being content until the purported consequences have been shown, by rigorous analysis, to follow from the premises. The present volume contains a selection of his contributions to the field, in particular papers dealing with general properties of Coulomb systems, phase transitions in systems with a continuous symmetry, lattice crystals, and entropy inequalities. It also includes work on classical thermodynamics, a discipline that, despite many claims to the contrary, is logically independent of statistical mechanics and deserves a rigorous and unambiguous foundation of its own. The articles in this volume have been carefully annotated by the editors.
Editors and Affiliations
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Department of Mathematics, University of California, Davis, USA
Bruno Nachtergaele
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Department of Mathematics, University of Copenhagen, Copenhagen, Denmark
Jan Philip Solovej
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Institut für Theoretische Physik, Universität Wien, Wien, Austria
Jakob Yngvason