Transverse diffusion induced phase transition in asymmetric exclusion process on a surface

Details Transverse diffusion induced phase transition in asymmetric exclusion process on a surface Transverse diffusion induced phase transition in asymmetric exclusion process on a surface

2009-03-21

arxiv.org/abs/0903.3664v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 14 figures

Scientific paper

We extend one dimensional asymmetric simple exclusion process (ASEP) to a surface and show that the effect of transverse diffusion is to induce a continuous phase transition from a constant density phase to a maximal current phase as the forward transition probability $p$ is tuned. The signature of the nonequilibrium transition is in the finite size effects near it. The results are compared with similar couplings operative only at the boundary. It is argued that the nature of the phases can be interpreted in terms of the modifications of boundary layers.

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