Statistical Mechanics and Critical Phenomena

Basic course given by Giuseppe Santoro, Alessandro Silva

Term: 1

Start: 01-10-2018 End: 31-03-2019 Room: 131

Credits: 6

Schedule: Mon 14:00 - 16:30, Tue 14:00 - 16:30, Wed 14:00 - 16:30

Program

Part 1 (Santoro): Oct-Dec 2018

  • Review of Thermodynamics
  • Ensembles: microcanonical, canonical, and grandcanonical, and their equivalence
  • Applications to gases and magnets: ideal gases and the Ising model
  • Phase transitions, universality and critical phenomena (brief overview)
  • Transfer matrix method and quantum-classical correspondence
  • Mean Field Theory
  • Landau Ginzburg Theory of phase transitions: Ising model and phi^4-field theory
  • Quantum statistical mechanics: Bose-Einstein and Fermi-Dirac statistics
  • Applications: Bose-Einstein condensation, Debye theory, etc

Part 2 (Silva): Jan-Mar 2019

  • Critical phenomena and renormalisation: generalities about the renormalisation group
  • Block spin transformations and real space renormalisation group.
  • Applications to the Ising model
  • Numerical techniques
  • Momentum space renormalisation and the epsilon expansion with applications to various models
  • The XY model and the Kosterlitz-Thouless transition

Online resources

Filename Size Date Modified
LNotes_SM.pdf 6.99 MB 2018-11-13 11:43:48