An Introduction to Statistical Mechanics and Thermodynamics

  • Introduction
  • The Classical Ideal Gas
    • Ideal Gas
    • Phase Space of a Classical Gas
    • Distinguishability
    • Probability Theory
    • Boltzmann’s Definition of the Entropy
    • S = k logW
    • Independence of Positions and Momenta
  • Discrete Probability Theory
  • The Classical Ideal Gas: Configurational Entropy
  • Continuous Random Numbers
  • The Classical Ideal Gas: Energy-Dependence of Entropy
  • Classical Gases: Ideal and Otherwise
  • Temperature, Pressure, Chemical Potential, and All That
  • The Postulates and Laws of Thermodynamics
  • Perturbations of Thermodynamic State Functions
  • Thermodynamic Processes
  • Thermodynamic Potentials
  • The Consequences of Extensivity
  • Thermodynamic Identities
  • Extremum Principles
  • Stability Conditions
  • Phase Transitions
  • Ensembles in Classical Statistical Mechanics
  • Classical Ensembles: Grand and Otherwise
  • Irreversibility
  • Quantum Ensembles
  • Quantum Canonical Ensemble
  • Black-Body Radiation
  • The Harmonic Solid
  • Ideal Quantum Gases
  • Bose–Einstein Statistics
  • Fermi–Dirac Statistics
  • Insulators and Semiconductors
  • Phase Transitions and the Ising Model
  • Appendix: Computer Calculations and VPython