The asymmetric exclusion model with sequential update

Details The asymmetric exclusion model with sequential update The asymmetric exclusion model with sequential update

1996-03-27

arxiv.org/abs/cond-mat/9603172v1

Physics

Condensed Matter

7 pages, Latex

Scientific paper

10.1088/0305-4470/29/12/004

We present a solution for the stationary state of an asymmetric exclusion model with sequential update and open boundary conditions. We solve the model exactly for random hopping in both directions by applying a matrix-product formalism which was recently used to solve the model with sublattice-parallel update[1]. It is shown that the matrix-algebra describing the sequential update and sublattice-parallel update are identical and can be mapped onto the random sequential case treated by Derrida et al[2].

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