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Instructor: Spiros Skourtis 

Content: Useful mathematical topics: combinatorics, probability distributions, random walks and processes, Lagrange multipliers. Entropy. Derivation of the microcanonical, canonical, grand canonical probability distributions for classical and quantum systems with emphasis on the concept of entropy. Derivation of thermodynamics from statistical mechanics. Thermodynamic potentials. Ideal gases of distinguishable and indistinguishable particles (Fermions and Bosons), and applications to photons, phonons and electrons. Bose-Einstein condensation. From quantum to classical statistical mechanics. The chemical potentials and its use in diffusive-equilibrium and chemical equilibrium problems. Statistical mechanics of interacting particles. Phase transitions. Ising model. Topics in non-equilibrium statistical mechanics (approach to equilibrium from the point of view of stochastic processes, Langevin and Fokker-Planck equations). 

Assesment: Mid-term 40%,  Final 60%