Exact Shock Profile for the ASEP with Sublattice-Parallel Update

Details Exact Shock Profile for the ASEP with Sublattice-Parallel Update Exact Shock Profile for the ASEP with Sublattice-Parallel Update

2005-04-16

arxiv.org/abs/cond-mat/0504397v1

Physics

Condensed Matter

Statistical Mechanics

12 pages, 3 figures, accepted for publication in Journal of Physics A

Scientific paper

10.1088/0305-4470/38/21/004

We analytically study the one-dimensional Asymmetric Simple Exclusion Process (ASEP) with open boundaries under sublattice-parallel updating scheme. We investigate the stationary state properties of this model conditioned on finding a given particle number in the system. Recent numerical investigations have shown that the model possesses three different phases in this case. Using a matrix product method we calculate both exact canonical partition function and also density profiles of the particles in each phase. Application of the Yang-Lee theory reveals that the model undergoes two second-order phase transitions at critical points. These results confirm the correctness of our previous numerical studies.

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