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

Tetsuya Mitsudo; Hisao Hayakawa

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

Tetsuya Mitsudo·Hisao Hayakawa

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Abstract

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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Tetsuya Mitsudo, Hisao Hayakawa. 2005-02-19. Synchronisation of kinks in the two-lane totally asymmetric simple exclusion process with open boundary conditions. https://arxiv.org/abs/cond-mat/0501009

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