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Statistical Mechanics cover

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 Its treatment of the infinite system limit has not been superseded, and the discussion of thermodynamic functions and states remains basic for more recent work.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.

Sample Chapter(s)
Chapter 1.1: Thermodynamic Systems (248 KB)
Chapter 1.2: Classical Systems and Ensembles (386 KB)
Chapter 1.3: Quantum Systems and Ensembles (404 KB)
Chapter 1.4: Equilibrium States and Thermodynamic Functions (184 KB)


Contents:
  • Thermodynamic Behavior. Ensembles
  • The Thermodynamic Limit for Thermodynamic Functions: Lattice Systems
  • The Thermodynamic Limit for Thermodynamic Functions: Continuous Systems
  • Low Density Expansions and Correlation Functions
  • The Problem of Phase Transitions
  • Group Invariance of Physical States
  • The States of Statistical Mechanics
  • Appendix: Some Mathematical Tools

Readership: Statistical and theoretical physicists.

Free Access
FRONT MATTER
  • Pages:i–xiii

https://doi.org/10.1142/9789812815286_fmatter

No Access
THERMODYNAMIC BEHAVIOR: ENSEMBLES
  • Pages:1–12

https://doi.org/10.1142/9789812815286_0001

No Access
THE THERMODYNAMIC LIMIT FOR THERMODYNAMIC FUNCTIONS: LATTICE SYSTEMS
  • Pages:13–28

https://doi.org/10.1142/9789812815286_0002

No Access
THE THERMODYNAMIC LIMIT FOR THERMODYNAMIC FUNCTIONS: CONTINUOUS SYSTEMS
  • Pages:29–70

https://doi.org/10.1142/9789812815286_0003

No Access
LOW DENSITY EXPANSIONS AND CORRELATION FUNCTIONS
  • Pages:71–107

https://doi.org/10.1142/9789812815286_0004

No Access
THE PROBLEM OF PHASE TRANSITIONS
  • Pages:108–144

https://doi.org/10.1142/9789812815286_0005

No Access
GROUP INVARIANCE OF PHYSICAL STATES
  • Pages:145–167

https://doi.org/10.1142/9789812815286_0006

No Access
THE STATES OF STATISTICAL MECHANICS
  • Pages:168–197

https://doi.org/10.1142/9789812815286_0007

Free Access
BACK MATTER
  • Pages:198–219

https://doi.org/10.1142/9789812815286_bmatter

“… it continues to be a classical reference where researchers and students find information, enlightenment and inspiration … In addition, Ruelle's presentation of many of the issues of the book has become the standard treatment … Rueller's Statistical Mechanics remains the leading reference for a motivated informed reader, or lecturer, wishing to grasp, in a concise but complete manner, the supporting arcs of this beautiful mathematical theory.”

Mathematical Reviews