Basics of Equilibrium Statistical Mechanics

  • Takafumi Kita
Part of the Graduate Texts in Physics book series (GTP)


The basics of equilibrium statistical mechanics are developed. We first derive a statistical-mechanical expression for entropy, (2.10) called the Gibbs or von Neumann entropy, that is compatible with the laws of thermodynamics. It is used subsequently to find the equilibrium statistical distributions, namely, microcanonical, canonical, and grand canonical distributions as (2.12), (2.18), and (2.26), respectively, based on the principle of maximum entropy by Jaynes.


Partition Function Lagrange Multiplier Maximum Entropy Helmholtz Free Energy Grand Canonical Ensemble 
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Copyright information

© Springer Japan 2015

Authors and Affiliations

  • Takafumi Kita
    • 1
  1. 1.Department of PhysicsHokkaido UniversitySapporoJapan

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