Abstract:We apply the Matrix Product Ansatz to study the Totally Asymmetric Simple Exclusion Process on a ring with a generalized discrete-time dynamics depending on two hopping probabilities, p and p. The model contains as special cases the TASEP with parallel update, when p = 0, and with sequential backward-ordered update, when p = p.We construct a two-dimensional matrix-product representation and use it to obtain exact finite-size expressions for the partition function, the current of particles and the two-point cor… Show more
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