Random energy model and the replica method
Random energy model and the replica method
- Event time: 11:30am
- Event date: 29th February 2012
- 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
I will talk about the random energy model (REM) and its relevance to disordered non-equilibrium systems such as disordered ZRP and TASEP processes. The REM began life as a very simple model of a spin glass and has proved relevant to a number of different areas including the glass transition, optimisation problems and models of financial systems. It shows a rich structure of free energy minima connected to replica symmetry breaking. I will show how its properties can be obtained using simple statistical arguments and how the replica method can be used to explore the free energy landscape.
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