Exact Steady State Properties of the One Dimensional Asymmetric Exclusion Model

The asymmetric exclusion model describes a system of particles hopping in a preferred direction with hard core repulsion. Here we review several exact results concerning the steady state of this system which have been obtained recently for periodic and open boundary conditions: density profiles, correlation functions and diffusion constants. We then discuss generalisations to the case of partial asymmetry and to a model with two species of particles.

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