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arXiv · 1103.3181

One-transit paths and steady-state of a non-equilibrium process in a discrete-time update

Vahid Fayaz·Farhad H. Jafarpour·Seyedeh Raziyeh Masharian·Somayeh Zeraati
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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.

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Vahid Fayaz, Farhad H. Jafarpour, Seyedeh Raziyeh Masharian, Somayeh Zeraati. 2011-03-16. One-transit paths and steady-state of a non-equilibrium process in a discrete-time update. https://doi.org/10.1088/1742-5468%2F2010%2F12%2Fp12009

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