One-transit paths and steady-state of a non-equilibrium process in a discrete-time update
arXiv:1103.3181 · doi:10.1088/1742-5468/2010/12/P12009
Abstract
We have shown that the partition function of the Asymmetric Simple Exclusion Process with open boundaries in a sublattice-parallel updating scheme is equal to that of a two-dimensional one-transit walk model defined on a diagonally rotated square lattice. It has been also shown that the physical quantities defined in these systems are related through a similarity transformation.
8 pages, 2 figures
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