Introduction to Statistical Thermodynamics

Review of Classical Thermodynamics: fundamental equation, maximum entropy principle, Legendre transforms and thermodynamic potentials. Basic notions of probability theory. Ensemble theory: microcanonical, canonical and grandcanonical ensembles. Partition functions. Fluctuations, equivalence of ensembles. Classical phase-space approach. Quantum statistics: Fermi-Dirac and Bose-Einstein distributions. Classical limit of quantum statistics. Applications to ideal gases, chemical equilibrium, models for adsorption and elasticity.