The Asymmetric Exclusion Process: an exactly solvable nonequilibrium system
Martin Evans (University of Edinburgh)
Tuesday 4th November, 2014 15:00-16:00 Maths 203
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.