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

Abstract

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.

25 pages, Revtex, 7 ps files

References in corpus (5)

• Exact solution of a cellular automaton for traffic
• Exact Stationary State for an ASEP with Fully Parallel Dynamics
• A multi-species asymmetric simple exclusion process and its relation to traffic flow
• A Remark on Integrability of Stochastic Systems Solvable by Matrix Product Ansatz
• Multi-Species Asymmetric Exclusion Process in Ordered Sequential Update

Cited by in corpus (6)

• Traffic and Related Self-Driven Many-Particle Systems
• Asymmetric Exclusion Processes with Disorder: Effect of Correlations
• Shock-dynamics of two-lane driven lattice gases
• The dynamics of cargo driven by molecular motors in the context of asymmetric simple exclusion processes
• Will jams get worse when slow cars move over?
• Partially Asymmetric Simple Exclusion Model in the Presence of an Impurity on a Ring