The asymmetric exclusion model with sequential update

Item Type:	Letter
Title:	The asymmetric exclusion model with sequential update
Creators Name:	Rajewsky, N. and Schadschneider, A. and Schreckenberg, M.
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 (Hinrichsen H 1995 Weizmann Inst. Preprint cond-mat/9512172). 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 (Derrida B, Evans M R, Hakim V and Pasquier V 1993 J. Phys. A: Math. Gen. 26 1493).
Source:	Journal of Physics A
ISSN:	0305-4470
Publisher:	Institute of Physics
Volume:	29
Number:	12
Page Range:	L305-L309
Date:	21 June 1996
Official Publication:	https://doi.org/10.1088/0305-4470/29/12/004

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