# Metastability and topology - What can be read in a Fokker-Planck equation?

#### Metastability and topology - What can be read in a Fokker-Planck equation?

- Event time: 2:00pm
- Event date: 29th April 2008
- Speaker: Julien Tailleur (Formerly 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 long-time dynamics of a system with separated time-scales is best described by a set of metastable states and transitions in between. These dynamical structures are of great importance and their computation tricky, as one does not want to simulate complex systems for a long time. I will consider the Langevin dynamics of such a system and show how the metastable states are encoded in the Fokker-Planck equation whereas the transition between them can be read in a generalized Fokker-Planck equation, which contains all the topological informations relevant for the dynamics.

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