The Asymmetric Exclusion Process: an exactly solvable nonequilibrium system

Martin Evans (University of Edinburgh)

Tuesday 4th November, 2014 15:00-16:00 Maths 203

Abstract

The asymmetric exclusion process models the stochastic transport of a conserved quantity (mass, cars, molecular motors etc) through an open system. Since a current of mass always flows, the system is out of equilibrium but will nevertheless attain a nonequilibrium stationary state in the long time limit. In this talk I will give an overview of how the stationary state can be solved exactly by a matrix product ansatz resulting in a quadratic algebra. I will discuss the phase diagram and additional dynamical transitions. I shall also discuss generalisations to multispecies system resulting in higher rank tensor product states and richer algebraic relations.

Add to your calendar

Download event information as iCalendar file (only this event)