The random energy model
Statistical Physics and Complexity Group meeting
The random energy model
- Event time: 11:30am
- Event date: 30th October 2013
- 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 random energy model (REM) is the simplest model that shows non-trivial spin glass behaviour. It can be solved exactly using a fairly intuitive approach. In this theory club talk I will define the REM and analyse its spin glass transition. I will then relate this back to the spin glass concepts that I introduced in my previous talk. In particular, the structure of the free energy landscape, relation to replica symmetry breaking and the Sherrington-Kirkpatrick model.
The REM is related to a number of other interesting areas including; polymers in a random medium, extreme value statistics and genealogies in models of evolution.
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