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.
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Introduction to overlap distribution to describe phase transitions - ferromagnet vs spin glass.
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Why we would like to know the overlap distribution between two different temperatures - chaos or not?
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Random energy model - the simplest non-trivial model.
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Overlap distribution in the random energy model and 1 step replica symmetry breaking at a single temperature.
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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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