151618200 ADVANCED STATISTICAL PHYSICS II ( 3 Crd.Hrs )

Review of the principles of statistical mechanics: microcanonical ensemble, canonical ensemble, grand canonical ensemble. Maximum entropy principle. Phase transitions: Ising model, lattice gas, broken symmetry and range of correlations, Ising model in one dimension, mean field theory, Landau theory of phase transitions, critical exponents, scaling, renormalization, group theory, Ising model in two dimensions. Statistical mechanics of non-equilibrium systems: systems close to equilibrium, Onsager's regression hypothesis and time correlation functions, fluctuation-dissipation theorem, response function, Brownian motion, Langevin Equation, Fokker-Planck equation, master equation and detailed balance, systems far from equilibrium, the concepts of work and heat revisited, the fluctuation theorems.