a Service de Physique Théorique, C.E. Saclay, F-91191, Gif-sur-Yvette Cedex, France
b Laboratoire de Physique Statistique de l'Ecole Normale Supérieure, 24 rue Lhomond, F-75231, Paris Cedex 05, France
Abstract:
The asymmetric exclusion model describes a system of particles hopping in a preferred direction with hard core repulsion. These particles can be thought of as charged particles in a field, as steps of an interface, as cars in a queue. Several exact results concerning the steady state of this system have been obtained recently. The solution consists of representing the weights of the configurations in the steady state as products of non-commuting matrices.