Current Fluctuations in the Asymmetric Simple Exclusion Process and Bethe Ansatz - Part I
- Event time: 2:00pm
- Event date: 23rd September 2008
- Speaker: Sylvain Prolhac (University of Edinburgh)
- Location: Room 3315, James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB
The asymmetric simple exclusion process (ASEP) is one of the most simple stochastic interacting particles models with an out of equilibrium stationary state. It has also the good property of being an integrable model, making it possible to obtain exact results for several quantities. In my presentation, I will explain how the Bethe Ansatz can be applied in the case of the ASEP on a ring. In particular, I will show that it can lead to explicit expressions for the fluctuations of the current.
This is a roughly weekly series of didactical blackboard talks focussing on some theoretical aspect of Condensed Matter, Biological, and Statistical Physics..