Abstract
Recent studies have indicated that the coarse grained dynamics of a large class of traffic models and driven–diffusive systems may be described by urn models. We consider a class of one-dimensional urn models whereby particles hop from an urn to its nearest neighbour at a rate which decays with the occupation number k of the departure site as (1 + b/k). In addition a diffusion process takes place, whereby all particles in an urn may hop to an adjacent one at some rate α. A condensation transition which may take place in this model is studied and the (b, α) phase diagram is calculated within the mean field approximation and by numerical simulations. A driven–diffusive model whose coarse grained dynamics corresponds to this urn model is considered.
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