TOTALLY ASYMMETRIC EXCLUSION PROCESSES ON LATTICES WITH A BRANCHING POINT
2009 ◽
Vol 20
(12)
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pp. 1999-2012
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We study totally asymmetric simple exclusion process (TASEP) where particles move on a single-chain lattice which diverges into two parallel lattice branches. At the branching point, the particles move to one of the two branches with equal rate r/2. The phase diagram and density profiles are investigated by using mean-field approximation and Monte Carlo simulations. It is found that the phase diagram can be classified into three regions at any value of r. However, a threshold [Formula: see text] is identified. In cases of r > rc and r < rc, the phase diagram exhibits qualitatively different phases. The analytical results are in good agreement with the results of Monte Carlo simulations.
2009 ◽
Vol 20
(06)
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pp. 967-978
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2006 ◽
Vol 588
(1)
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pp. 1-14
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2008 ◽
Vol 7
(3)
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pp. 197-200
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2006 ◽
Vol 125
(18)
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pp. 184904
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Keyword(s):
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