Download Free PDF book on “Equilibrium and Non-Equilibrium Statistical Mechanics” by Carolyne M Van Vliet.

Contents:

• General Principles of Many-Particle Systems:
  • Introduction to the State of Large Systems and Some Probability Concepts
  • Statistics of Closed Systems
  • Thermodynamics in the Microcanonical Ensemble, Classical and Quantal
  • Ensembles in the Presence of Reservoirs. The Canonical and Grand-Canonical Ensemble
  • Generalized Canonical Ensembles
• Classical and Quantum Formalisms. The Boltzmann Gas, The Perfect Bose and Fermi Gas:
  • The Boltzmann Distribution and Chemical Applications
  • The Occupation-Number State Formalism; Spin and Statistics
  • Ideal Quantum Gases and Elementary Excitations in Solids
• Quantum Systems with Strong Interactions:
  • Critical Phenomena: General Features of Phase Transitions
  • Renormalization: Theory and Examples
  • The Two-Dimensional Ising Model and Spin Waves
  • Aspects of Quantum Fluids
• Classical Transport Theory:
  • The Boltzmann Equation and Boltzmann’s H-Theorem
  • Hydrodynamic Equations and Conservation Theorems; Barycentric Flow
  • Further Applications
• Linear Response Theory and Quantum Transport:
  • Linear Response Theory, Reduced Operators and Convergent Forms
  • The Quantum Boltsmann Equation and Some Applications of Modified Linear Response
  • Brownian Motion and the Mesoscopic Master Equation
  • Branching Processes and Continuous Stochastic Phenomena
  • Stochastic Optical Signals and Photon Fluctuations