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

Rui Jiang, Ruili Wang and Qing-Song Wu

Physica A: Statistical Mechanics and its Applications, 2007, vol. 375, issue 1, 247-256

Abstract: 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 Ω is investigated. It is shown that with the increase of Ω, a complex behavior on both lanes occurs. Synchronization of the shocks in both lanes occurs when Ω exceeds a threshold Ωc≈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.

Keywords: ASEP; Langmuir kinetics; Two-lane (search for similar items in EconPapers)
Date: 2007
References: View complete reference list from CitEc
Citations: View citations in EconPapers (6)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S037843710600882X
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:375:y:2007:i:1:p:247-256

DOI: 10.1016/j.physa.2006.08.025

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().