Quick Index on Statistical Physics

Quick Index on Statistical Physics

Laws of thermodynamics

 * Carnot's circle (Su P.27)
 * Clausius theorem and the second law of thermodynamics (Su P.31)
 * Theorem of maximal work (Landau P.59)

Thermodynamic potentials

 * Maxwell's relations (Su P.78)
 * Massieu's theorrem (Su P.81)
 * Euler's relation (Callen P.59)
 * Gibbs-Duhem's relation (Callen P.62)

Basic Concepts in Statistics

 * Microstate and macrostate (Su, P.53)
 * Phase space (Su P.57, P.97 and P.167)
 * Liouville's theorem (Classical, Su P.101, Quantum, Sakurai P.181)
 * Ergodic hypothesis (An isolated system in equilibrium is equally likely in any of its accessible states)
 * Entropy (Thermodynamics Su P.30, Boltzmann statistics Su P.71, Canonical Su P.143, H Theorem Su P.427)

Ensemble theory and its connection to Thermodynamics

 * Boltzmann's method of most probable Distribution (Su P.59)
 * Microcanonical (Su P.104)
 * Canonical (Su P.107)
 * Grand Canonical (Su P.138)
 * Equipartition Theorem (Su P.117)

Systems of classical statistics

 * Ideal gas (Su P.117, P.145, P.238)
 * Real gas, Van der Waals (Reif P.422), Mayer expansion (Su P.126) Viral Theorem Approach (Su P.134)

Difficulties in classical statistics

 * Black body Radiation (Ultraviolet Disaster, Blank’s formulae, Su P.151)
 * Heat Capacity of Gas (Contribution of electrons, Su P.179)
 * Heat Capacity of Solid (Low temperature behavior, Debye model, Reif P.404, Su P.183)

Bose-Einstein and Fermi Dirac Distributions

 * Fermi-Dirac Bose-Einstein, derivation via Boltzmann statistics (Su P.191) or via Ensembles (Su P.193)
 * Photo gas (Su P.213) Bose-Einstein Condensation (Su P.208) Fermi Sphere (Su P.216)