| In this advanced course in Statistical Mechanics a thorough review of undergraduate topics in Thermodynamics and Statistical Mechanics will be conducted. This will include a review of Thermal Physics, principles of physical statistics, systems of non-interacting classical and quantum particles described by Boltzmann, Fermi-Dirac and Bose-Einstein statistics, respectively. Applications to ideal gases, electrons and phonons in solids, and black-body radiation will be treated. An approximate treatment to non-ideal gases will be introduced. First and second-order phase transitions will be introduced. Complex models like the Ising model will be studied and a brief introduction to Renormalization Group analysis will be exposed. The fluctuation-Dissipation theorem will be reviewed for gases in thermal equilibrium, and a brief introduction to systems away from thermodynamic equilibrium will be discussed. Time-permitting, basic notions of ergodicity, chaos and quantum chaos will be covered. |
