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: Dr Peter Mottishaw (School of Physics & Astronomy, University of Edinburgh)
- Location: Room 2511, James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB
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.
- Thermodynamic argument for a freezing transition using the micro-canonical ensemble (quick recap).
- Integer moments of the partition function.
- Replica method to obtain the free energy.
- Replica symmetry breaking and the overlap distribution.
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