Asymmetric Coupling Two-lane with Same Hopping Probabilities p Simple Exclusion Processes
نویسندگان
چکیده
منابع مشابه
Coupling Probabilities in Asymmetric Exclusion Processes
We consider the one-dimensional asymmetric simple exclusion process (asep) in which particles jump to the right at rate p and to the left at rate 1−p, interacting by exclusion. Suppose that the initial state has first-class particles to the left of the origin, second-class particle at sites 0 and 1, and holes to the right of site 1. We show that the probability that the two second-class particl...
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Simple exclusion processes for particles moving along two parallel lattices and jumping between them are theoretically investigated for asymmetric rates of transition between the channels. An approximate theoretical approach, that describes the particle dynamics exactly in any vertical cluster of two parallel sites and neglects the correlations between the different vertical clusters, is applie...
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Totally asymmetric simple exclusion processes, consisting of two coupled parallel lattice chains with particles interacting with hard-core exclusion and moving along the channels and between them, are considered. In the limit of strong coupling between the channels, the particle currents, density profiles and a phase diagram are calculated exactly by mapping the system into an effective one-cha...
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We consider the one-dimensional asymmetric simple exclusion process in which particles jump to the right at rate p and to the left at rate 1 − p, interacting by exclusion. Suppose that the initial state has first-class particles to the left of the origin, a second class particle at the origin, a third class particle at site 1 and holes to the right of site 1. We show that the probability that t...
متن کاملSynchronization of kinks in the two-lane totally asymmetric simple exclusion process with open boundary conditions
We study the motion of kinks in a two-lane model of the totally asymmetric simple exclusion process with open boundaries. Once a lane change is allowed, the positions of the kinks become synchronized. We analytically study the motion of the kinks by a decoupled approximation. When we choose the lane change rate asymmetric, the difference between the positions of the kinks become zero, though th...
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ژورنال
عنوان ژورنال: Procedia Engineering
سال: 2012
ISSN: 1877-7058
DOI: 10.1016/j.proeng.2012.01.1125