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

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

1999-12-23

arxiv.org/abs/cond-mat/9912425v1

Physics

Condensed Matter

Statistical Mechanics

6 pages, 4 ps figures, to apear in the proceeding of " Traffic and Granular Flow 99 ", Springer. Eds, M.Schreckenberg, D.E.Wol

Scientific paper

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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