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Discrete-time analysis of traveling wave solutions and steady state of a PASEP with open boundaries

Discrete-time analysis of traveling wave solutions and steady state of a PASEP with open boundaries

We consider the dynamics of a single shock in a partially asymmetric simple exclusion process (PASEP) on a finite lattice with open boundaries in the sublattice-parallel updating scheme. We then construct the steady state of the system by considering a linear superposition of these shocks. It is shown that this …