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Lecture Notes on Equilibrium Statistical Mechanics (Physics 211)
Course Information
Probability and information entropy
Entropy and information
Classical statistical mechanics
Meaning of equilibrium
Equipartition
Gibbs entropy / Partition Function / Free energy
Trading conserved quantities between reservoir and system // External forces
Spontaneous Reactions
Non-equilibrium fluctuation theorems
Chemical reactions
Statistical mechanics with interactions - Ising models
Finite dimensional Ising models
Variational Method
Interacting Gases
Monte Carlo and the Metropolis Algorithm
Debye-Hückel theory - charge screening
Diffusion as a free energy minimizing process
Coarse-graining and Ergodicity theory
When does quantum mechanics make a difference?
Gapless quantum matter: phonons + Debye model Coldstone’s Theorem
Formalism of quantum statistical mechanics
Hilbert space of Bosons and Fermions
Pressure of a dilute ideal quantum gase
Ideal quantum gases - Degenerate Fermi gas
Ideal quantum gases - Bose-Einstein Condensate
Landau theory
Breakdown of Landau theory
Repository
Open issue
Index
