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The asymmetric exclusion model with sequential update

N. Rajewsky·A. Schadschneider·M. Schreckenberg
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Abstract

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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N. Rajewsky, A. Schadschneider, M. Schreckenberg. 1996-03-27. The asymmetric exclusion model with sequential update. https://doi.org/10.1088/0305-4470%2F29%2F12%2F004

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