Breaking replica symmetry at two different temperatures
Breaking replica symmetry at two different temperatures
 Event time: 11:30am until 12:30pm
 Event date: 20th November 2019
 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 provide a basic introduction to the idea an overlap distribution to describe phase transitions in disordered systems and for a simple problem show how this can be calculated using Parisi's replica symmetry breaking scheme. I will then summarise our current research on how this can be extended to the overlap between 2 different temperatures. This research is in collaboration with Bernard Derrida.
The agenda.

Introduction to overlap distribution to describe phase transitions  ferromagnet vs spin glass.

Why we would like to know the overlap distribution between two different temperatures  chaos or not?

Random energy model  the simplest nontrivial model.

Overlap distribution in the random energy model and 1 step replica symmetry breaking at a single temperature.

Generalisation of the replica symmetry breaking scheme to 2 temperatures.
The basic concepts of overlap distributions and replicas are discussed in Mézard, M., Parisi, G. and Virasoro, M., 1987. Spin glass theory and beyond: An Introduction to the Replica Method and Its Applications
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