Synchronisation of kinks in the two-lane totally asymmetric simple exclusion process with open boundary conditions

Details Synchronisation of kinks in the two-lane totally asymmetric simple exclusion process with open boundary conditions Synchronisation of kinks in the two-lane totally asymmetric simple exclusion process with open boundary conditions

2005-01-02

arxiv.org/abs/cond-mat/0501009v3

Physics

Condensed Matter

Statistical Mechanics

11 pages, 7 figures:adding figure and discussions

Scientific paper

We study the motion of kinks in a two-lane model of the totally asymmetric simple exclusion process with open boundaries. We analytically study the motion of the kinks by a decoupling approximation. In terms of the decoupling approximation, we find that the positions of the kinks become synchronised,though the difference in the number of particles between lanes remains non-zero when the rate of lane change is asymmetric. The validity of this result is confirmed for small asymmetric cases through the Monte Carlo simulation.

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