Green functions for the TASEP with sublattice parallel update

Details Green functions for the TASEP with sublattice parallel update Green functions for the TASEP with sublattice parallel update

2010-02-18

arxiv.org/abs/1002.3456v4

J. Stat. Mech. (2010) P04022

Physics

Condensed Matter

Statistical Mechanics

11 pages, 4 figures

Scientific paper

10.1088/1742-5468/2010/04/P04022

We consider the totally asymmetric simple exclusion process (TASEP) in discrete time with the sublattice parallel dynamics describing particles moving to the right on the one-dimensional infinite chain with equal hoping probabilities. Using sequentially two mappings, we show that the model is equivalent to the TASEP with the backward-ordered sequential update in the case when particles start and finish their motion not simultaneously. The Green functions are obtained exactly in a determinant form for different initial and final conditions.

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