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

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

2011-03-16

arxiv.org/abs/1103.3181v1

J. Stat. Mech. (2010) P12009

Physics

Condensed Matter

Statistical Mechanics

8 pages, 2 figures

Scientific paper

10.1088/1742-5468/2010/12/P12009

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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