My third-year 10-credit course *Statistical Mechanics*, last given in 2019/20, was the first half of the 20-credit module *Statistical Mechanics and Solid State II*. Indicative syllabus of my course:

**Microstates**: microstates (quantum states) and macrostates of a system, degeneracy*W*, density of states, illustration for a set of*N*harmonic oscillators, principle of equal equilibrium, probability of an isolated system, term “microcanonical ensemble”**Thermal equilibrium, temperature**: statistical nature of equilibrium illustrated for 2 systems of*N*harmonic oscillators, definition of temperature, Boltzmann distribution, partition function*Z*, term “canonical ensemble”**Entropy**: general statistical definition of entropy*S*, law of increase of entropy, entropy of isolated system in internal equilibrium (“microcanonical ensemble”), entropy of system in thermal equilibrium with a heat bath (“canonical ensemble”), Helmholtz free energy*F*; equivalence of classical and statistical entropy**Elementary applications**: Vacancies in solids; two-level systems (including magnetic susceptibility of dilute paramagnetic salt), simple harmonic oscillator (partition function, heat capacity).**Vibrational heat capacity of solids**: Quantisation of phonon modes, labelling of modes using wavevector; Einstein and Debye models**Ideal gas**: Partition function of monatomic gas, classical gas law, Maxwell-Boltzmann speed distribution, molecular gases (rotation and vibration), classical limit of occupation numbers**Systems with variable number of particles**: Grand canonical ensemble, chemical potential, Gibbs distribution**Identical particles**: Fermions and bosons, Fermi and Bose distributions, Bose-Einstein condensation, with applications to free-electron metals and nuclear physics (fermions), and liquid^{4}He and superconductivity (bosons)**Black body radiation**: Energy density, pressure**The classical limit**: Phase space, classical equipartition theorem

From 2020/21, *Statistical Mechanics* is taught by Dr Paul Davies.