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

Format:

Book

Author/Creator:

Toda, Morikazu., Author.

Kubo, Ryogo., Author.

Saitō, Nobuhiko, Author.

Series:

Springer Series in Solid-State Sciences, 2197-4179 ; 30

Language:

English

Subjects (All):

System theory.

Thermodynamics.

Mechanics.

Mathematical physics.

Complex Systems.

Classical Mechanics.

Theoretical, Mathematical and Computational Physics.

Local Subjects:

Complex Systems.

Thermodynamics.

Classical Mechanics.

Theoretical, Mathematical and Computational Physics.

Physical Description:

1 online resource (XVI, 256 p. 1 illus.)

Edition:

2nd ed. 1992.

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1992.

Language Note:

English

Summary:

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 ideas and methods.

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,.

Notes:

"With 90 Figures."

Includes bibliographical references and index.

ISBN:

3-642-58134-X