Replica symmetry breaking: the simplest example

Statistical Physics and Complexity Group meeting

Replica symmetry breaking: the simplest example

  • Event time: 11:30am until 12:30pm
  • Event date: 5th December 2018
  • Speaker: (School of Physics & Astronomy, University of Edinburgh)
  • Location: Room 2511,

Event details

The aim of the talk is to complete the analysis of the simplest spin glass model that I discussed in October. I will show how one step of replica symmetry breaking gives the correct low temperature phase and gives some insight into the nature of the phase.

  1. Thermodynamic argument for a freezing transition using the micro-canonical ensemble (quick recap).
  2. Integer moments of the partition function.
  3. Replica method to obtain the free energy.
  4. Replica symmetry breaking and the overlap distribution.