Statistical Physics I : Equilibrium Statistical Mechanics / by Morikazu Toda, Ryogo Kubo, Nobuhiko Saitô

Statistical Physics I discusses the fundamentals of equilibrium statistical mechanics, focusing on basic physical aspects. No previous knowledge of thermodynamics or the molecular theory of gases is assumed. Illustrative examples based on simple materials and photon systems elucidate the central ide...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Toda, Morikazu, 1917-2010
Other Authors: Kubo, Ryogo, Saitô, Nobuhiko
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 1992.
Edition:Second edition.
Series:Springer series in solid-state sciences ; 30.
Subjects:
Table of Contents:
  • 1. General Preliminaries
  • 1.1 Overview
  • 1.2 Averages
  • 1.3 The Liouville Theorem
  • 2. Outlines of Statistical Mechanics
  • 2.1 The Principles of Statistical Mechanics
  • 2.2 Temperature
  • 2.3 External Forces
  • 2.4 Subsystems with a Given Temperature
  • 2.5 Subsystems with a Given Pressure
  • 2.6 Subsystems with a Given Chemical Potential
  • 2.7 Fluctuation and Correlation
  • 2.8 The Third Law of Thermodynamics, Nernst's Theorem
  • 3. Applications
  • 3.1 Quantum Statistics
  • 3.2 Ideal Gases
  • 3.3 Classical Systems
  • 4. Phase Transitions
  • 4.1 Models
  • 4.2 Analyticity of the Partition Function and Thermodynamic Limit
  • 4.3 One-Dimensional Systems
  • 4.4 Ising Systems
  • 4.5 Approximate Theories
  • 4.6 Critical Phenomena
  • 4.7 Renormalization Group Method
  • 5. Ergodic Problems
  • 5.1 Some Results from Classical Mechanics
  • 5.2 Ergodic Theorems (I)
  • 5.3 Abstract Dynamical Systems
  • 5.4 The Poincaré and Fermi Theorems
  • 5.5 Fermi-Pasta-Ulam's Problem
  • 5.6 Third Integrals
  • 5.7 The Kolmogorov, Arnol'd and Moser Theorem
  • 5.8 Ergodic Theorems (II)
  • 5.9 Quantum Mechanical Systems
  • General Bibliography
  • References
  • Subject Index.