Equilibrium Statistical Mechanics

• Equilibrium Statistical Mechanics Summary
  • Review of Thermodynamics
  • The Two Approaches of Statistical Mechanics
  • Applications of These Theories
• Basics of Statistical Mechanics
  • Phase Space
  • Boltzmann Factor
  • Partition Function
  • Magnetization
  • Heat Capacity
  • Specific Heat
  • Importance of Dimensions
• Harmonic Oscillator and Density of States
  • Quantum Harmonic Oscillator
  • Density of States
  • Partition Function and DoS
  • Phase Space of Quantum Partition Function
  • Phase Space of Quantum Partition Function
• Observables and Debye Model
  • Observables & Equilibrium
  • Gibbs Mixing Paradox
  • Interacting Particles
  • Beyond Debye Model
• Phase Transitions
  • Phase Transitions
  • Mean Field Thoery
  • Van der Waals Gas
  • Ensemble
• Most Probable Distribution
• Ensembles
  • Ensemble
  • Equilibrium
  • Ensembles, Systems
  • Isolated System - Micro-canonical Ensemble
  • Canonical Ensemble
  • Grand Canonical Ensemble
  • Identical Particles
  • Three Ensembles Cont’d
  • Most Probable Distribution
  • The Exact Partition Function
  • Is There A Gap Between Fermion and Boson?