Advanced Statistical Physics
Course outline: (Brock 2018-19 Graduate Calendar Description:
Statistical ensembles; mean field and Landau theory, critical phenomena, and the renormalization group; quantum fluids; superfluidity; selected topics on disordered systems.)
Quantum statistics: Fermi-Dirac and Bose-Einstein. Introduction to the second quantization method; density matrix.
Electrons in metals: thermodynamic properties, Pauli paramagnetism, Landau diamagnetism, de Haas-van Alphen effect.
Bose-Einstein condensation, weakly non-ideal Bose gas, superfluidity, magnons.
Phase transitions: Landau theory, exactly solvable models.
There is no required textbook for the course. The main source of information will be the lecture notes. The students are encouraged to consult numerous textbooks on
statistical physics available in the library, e.g.
F. Reif, Fundamentals of Statistical and Thermal Physics
M. Marder, Condensed Matter Physics
L. D. Landau and E. M. Lifshitz, Statistical Physics, Part 1 and Part 2
N. W. Ashcroft and N. D. Mermin, Solid State Physics
3 assignments (60%), final exam (40%); late assignments will not be accepted