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An Exactly Solvable Two-Way Traffic Model With Ordered Sequential Update

M. Ebrahim Fouladvand, H. Woo Lee

cond-mat.stat-mecharXiv:cond-mat/9912425

Abstract

Within the formalism of martix product ansatz, we study a two-species asymmetric exclusion process with backward and forward site-ordered sequential update. This model describes a two-way traffic flow with a dynamical impurity and shows a phase transition between the free flow and the traffic jam. We investigate characteristics of this jamming and examine similarities and differences between our results and those with random sequential update.

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