School Seminars and Colloquia

Slowest relaxation mode of the partially asymmetric simple exclusion process with open boundries

Statistical Mechanics/Combinatorics Seminar

by Jan de Gier


Institution: The University of Melbourne
Date: Mon 11th August 2008
Time: 1:00 PM
Location: Old Geology -Theatre 2, The University of Melbourne

Abstract: The asymmetric simple exclusion process (ASEP) is one of the
most widely studied stochastic processes. Despite its known integrability,
due to an underlying Temperley-Lieb algebra, it was only in 2005 that the
transition matrix of the process with open boundaries was diagonalised by
the Bethe ansatz method. Due to this result, the (asymptotic) dynamics of
the ASEP with asymmetric hopping in the bulk and open boundaries came for
the first time within reach of analytic treatment.
In this talk I will present recent work on the analysis of the Bethe
equations and the smallest eigenvalue of the transition matrix which
governs the slowest relaxation mode towards the stationary state. The
resulting dynamical phase diagram turns out to be surprisingly rich.

For More Information: Iwan Jensen I.Jensen@ms.unimelb.edu.au