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

Rui Jiang; Ruili Wang; Qing Song Wu

doi:10.1016/j.physa.2006.08.025

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

Rui Jiang, Ruili Wang, Qing Song Wu

Research output: Journal Publication › Article › peer-review

40 Citations (Scopus)

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 Ω_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.

Original language	English
Pages (from-to)	247-256
Number of pages	10
Journal	Physica A: Statistical Mechanics and its Applications
Volume	375
Issue number	1
DOIs	https://doi.org/10.1016/j.physa.2006.08.025
Publication status	Published - 15 Feb 2007
Externally published	Yes

Keywords

ASEP
Langmuir kinetics
Two-lane

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability

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10.1016/j.physa.2006.08.025

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title = "Two-lane totally asymmetric exclusion processes with particle creation and annihilation",

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.",

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AU - Jiang, Rui

AU - Wang, Ruili

AU - Wu, Qing Song

PY - 2007/2/15

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N2 - 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.

AB - 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.

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M3 - Article

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SN - 0378-4371

VL - 375

SP - 247

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JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 1

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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