Statistical Mechanics: Rigorous Results

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World Scientific, 1999 - Science - 219 pages
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This classic book marks the beginning of an era of vigorous mathematical progress in equilibrium statistical mechanics. Its treatment of the infinite system limit has not been superseded, and the discussion of thermodynamic functions and states remains basic for more recent work. The conceptual foundation provided by the Rigorous Results remains invaluable for the study of the spectacular developments of statistical mechanics in the second half of the 20th century.
  

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Contents

Thermodynamic Behavior Ensembles l
1
The Thermodynamic Limit
13
Some Inequalities for Quantum Systems
25
The Thermodynamic Limit
29
Thermodynamic Limit for the Quantum Ensembles
60
Low Density Expansions
71
Positive Potentials
93
The Problem of Phase Transitions
108
The Theorem ofMermin and Wagner
129
Group Invariance of Physical States
145
Pure Thermodynamic Phases as Ergodic States
161
The Gibbs Phase Rule
190
Von Neumann Algebras
205
Copyright

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About the author (1999)

David Ruelle is Professor of Mathematics at the "Institut des Hautes Etudes Scientifiques" of Bures-sur-Yvette, France.

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