Statistical Mechanics: Selecta of Elliott H. Lieb

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Springer Science & Business Media, Apr 17, 2013 - Science - 508 pages
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.
 

Contents

with J L Lebowitz
13
in the Second Virial Coefficient of a Real
27
and Multicomponent Ferromagnets with A D Sokal 9335
93
and Nonisotropic Interactions with F J Dyson and B Simon
163
with J Fröhlich R B Israel and B Simon
247
Antiferromagnets with T Kennedy and S Shastry
315
of the Ground State for Lattice Systems with M Aizenman
333
with J Yngvason
353
VII
370
with O E Lanford and J L Lebowitz
391
W Robinson
425
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