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

1999-06-30

arxiv.org/abs/cond-mat/9906447v1

Physics

Condensed Matter

Statistical Mechanics

25 pages, Revtex, 7 ps files

Scientific paper

10.1103/PhysRevE.60.6465

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

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