Statistical Mechanics

In addition to a deductive approach to equilibrium statistics and thermodynamics based on a single hypothesis - the form of the microcanonical density matrix - this book treats the most important elements of non-equilibrium phenomena. Intermediate calculations are presented in complete detail. Probl...

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Bibliographic Details
Main Author: Schwabl, Franz
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2002, 2002
Edition:1st ed. 2002
Series:Advanced Texts in Physics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1. Basic Principles
  • 2. Equilibrium Ensembles.
  • 3. Thermodynamics
  • 4. Ideal Quantum Gases
  • 5. Real Gases, Liquids, and Solutions
  • 6. Magnetism
  • 7. Phase Transitions, Renormalization Group Theory, and Percolation
  • 8. Brownian Motion, Equations of Motion and the Fokker-Planck Equations
  • 9. The Boltzmann Equation
  • 10. Irreversibility and the Approach to Equilibrium
  • Appendix.
  • A. Nernst’s Theorem (Third Law).
  • A.1 Preliminary Remarks on the Historical Development of Nernst’s Theorem
  • A.2 Nernst’s Theorem and its Thermodynamic Consequences
  • A.3 Residual Entropy, Metastability, etc.
  • B. The Classical Limit and Quantum Corrections
  • B.1 The Classical Limit.
  • B.2 Calculation of the Quantum-Mechanical Corrections
  • C. The Perturbation Expansion
  • D. The Riemann ?-Function and the Bernoulli Numbers
  • E. Derivation of the Ginzburg—Landau Functional
  • F. The Transfer Matrix Method.
  • G. Integrals Containing the Maxwell Distribution
  • H. Hydrodynamics
  • H.1 Hydrodynamic Equations, Phenomenological Discussion
  • H.2 The Kubo Relaxation Function.
  • H.3 The Microscopic Derivation of the Hydrodynamic Equations
  • I. Units and Tables