Statistical Mechanics


Prerequisites: Analytical Mechanics, Quantum Mechanics, Classical Thermodynamics, Probability Theory, Statistics(?)

  1. [Isihara A.] - Statistical physics
  2. [Richard Becker] - Theory of Heat
  3. [Mehran Kardar] - Statistical Physics of Particles
  4. [R. K. Pathria] - Statistical Mechanics
  5. [Wolfgang Nolting] - Theoretical Physics 8 Statistical Physics
  6. [Linder B.] - Thermodynamics and Introductory Statistical Mechanics
  7. [Stephen J. Blundell, Katherine M. Blundell] - Concepts in Thermal Physics
  8. [Walter Greiner, Ludwih Neise, Horst Stocker] - Thermodynamics and Statistical Mechanics
  9. [L. E. Reichl] - A modern course in statistical physics
  10. [Kerson Huang] - Statistical Mechanics
  11. [A.J. Pointon] - An introduction to statistical physics for students
  12. [Carl S. Helrich] - Modern Thermodynamics with Statistical Mechanics
  13. [James P. Sethna] - Statistical Mechanics Entropy, Order Parameters, and Complexity
  14. [Luca Peliti] - Statistical Mechanics in a Nutshell
  15. [Sacha Friedli, Yvan Velenik] - Statistical Mechanics of Lattice Systems A Concrete Mathematical Introduction
  16. [Mark E. Tuckerman] - Statistical Mechanics Theory and Molecular Simulation
  17. [M. W. Zemansky, Richard H. Dittman] - Heat and thermodynamics
  18. [Ralph Baierlein] - Thermal Physics
  19. [F. Reif] - Fundamentals of Statistical and Thermal Physics
  20. [Herbert B. Callen] - Thermodynamics And An Introduction To Thermostatistics
  21. [Harvey Gould, Jan Tobochnik] - Statistical and Thermal Physics With Computer Applications
  22. [Anton Bovier] - Statistical Mechanics of Disordered Systems A Mathematical Perspective
  23. [Daniel V. Schroeder] - An Introduction to Thermal Physics
  24. [Francis W. Sears, Gerhard L. Salinger] - Thermodynamics, Kinetic Theory, and Statistical Thermodynamics
  25. [David L. Goodstein] - States of Matter
  26. [Charles Kittel] - ThermalPhysics
  27. [J. C. Slater] - Introduction to Chemical Physics
  28. [L. D. Landau, E. M. Lifshitz] - Statistical Physics

  1. Elements of Ensemble Theory
    1. Phase-Space Dynamics
    2. Statistical Ensembles and Ergodic Hypothesis
    3. Liouville's Theorem
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  2. The Micro-Canonical Ensemble
    1. Micro-Canonical Ensemble
    2. Conditions for Thermal Equilibrium
    3. Entropy and Temperature
    4. The Second Law of Thermodynamics
    5. Chemical Potential
    6. Thermodynamic Relations
    7. Equipartition Theorem
    8. The Ideal Gas
  3. The Canonical Ensemble
    1. Two Systems in Thermal Contact
    2. The Canonical Ensemble
    3. Microscopic Systems
  4. Grand-Canonical Ensemble
    1. Equation of State of a Gas
    2. Internal Energy of Real Gas
    3. The Ideal Gas
    4. Quasi-Static Adiabatic Process
  5. Lattice Statistics
    1. Topological Spaces.
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  6. Quantum Statistical Mechanics
    1. Topological Spaces.
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  7. Ideal and Real Gases
    1. Topological Spaces.
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  8. Linked Cluster Expansion
    1. Topological Spaces.
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  9. Kinetic Theory of Gas
    1. Maxwell's Velocity Distribution
    2. Maxwell-Boltzmann Distribution Function
    3. Boltmann's H-Theorem
    4. Pressure