Dynamics of an exclusion process with creation and annihilation

Details Dynamics of an exclusion process with creation and annihilation Dynamics of an exclusion process with creation and annihilation

2003-11-10

arxiv.org/abs/cond-mat/0311208v2

Physics

Condensed Matter

Statistical Mechanics

16 pages, 8 figures, typos corrected, references added, section 4 revised

Scientific paper

10.1088/0305-4470/37/13/002

We examine the dynamical properties of an exclusion process with creation and annihilation of particles in the framework of a phenomenological domain-wall theory, by scaling arguments and by numerical simulation. We find that the length- and time scale are finite in the maximum current phase for finite creation- and annihilation rates as opposed to the algebraically decaying correlations of the totally asymmetric simple exclusion process (TASEP). Critical exponents of the transition to the TASEP are determined. The case where bulk creation- and annihilation rates vanish faster than the inverse of the system size N is also analyzed. We point out that shock localization is possible even for rates proportional to 1/N^a, 1

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