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Two-lane totally asymmetric exclusion processes with particle creation and annihilation

โœ Scribed by Rui Jiang; Ruili Wang; Qing-Song Wu

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
837 KB
Volume
375
Category
Article
ISSN
0378-4371

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โœฆ Synopsis

This paper studies two-lane totally asymmetric simple exclusion processes (TASEP) coupled with particle creation and annihilation in one of the two lanes (lane 2). The dependence of the density profiles of both lanes on the lane-change rate O is investigated. It is shown that with the increase of O, a complex behavior on both lanes occurs. Synchronization of the shocks in both lanes occurs when O exceeds a threshold O c % 10. A boundary layer is also observed at the left boundary as a finite-size effect. The situations arising from very large creation/annihilation rate and very small creation/annihilation rate are also investigated. The mean-field analysis is presented and it agrees well with Monte Carlo simulations.

๐Ÿ“œ SIMILAR VOLUMES

Local inhomogeneity in two-lane asymmetr
Local inhomogeneity in two-lane asymmetric simple exclusion processes coupled with Langmuir kinetics
โœ Ruili Wang; Mingzhe Liu; Rui Jiang ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 945 KB

The effects of local inhomogeneity in a two-lane asymmetric simple exclusion process coupled with Langmuir kinetics are studied. The model is related to some biological processes such as the movement of molecular motors on parallel homogeneous and inhomogeneous filaments without restrictions for the