Green functions for the TASEP with sublattice parallel update

Abstract

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.

11 pages, 4 figures

References in corpus (4)

• Fluctuation properties of the TASEP with periodic initial configuration
• A Fredholm Determinant Representation in ASEP
• Current Distribution and random matrix ensembles for an integrable asymmetric fragmentation process
• Fluctuations of the one-dimensional asymmetric exclusion process using random matrix techniques