School Seminars and Colloquia

Relaxation rate of the asymmetric exclusion process in the reverse-biased phase - PhD Confirmation Talk

Confirmation talk

by Caley Finn

Institution: Department of Mathematics and Statistics, The University of Melbourne
Date: Tue 22nd February 2011
Time: 3:00 PM
Location: Room 215, Richard Berry Building, The University of Melbourne

Abstract: The asymmetric exclusion process (ASEP) is a model of particles hopping along a one-dimensional lattice subject to open boundaries. The model is a non-equilibrium system with late time behaviour described by a unique stationary distribution. The relaxation rate to this distribution can be found by solving the Bethe Ansatz equations for the system and, from these solutions, the asymptotic behaviour of the relaxation rate has been calculated. We wish to extend these results to the reverse-biased phase - where the entry and exit of particles at the boundaries opposes the preferred direction of flow in the bulk.

In this talk, I'll describe how the structure of the Bethe roots change in the reverse-biased phase, and how this affects the asymptotic behaviour of the relaxation rate.

For More Information: contact Mark Sorrell. email.