Totally asymmetric exclusion processes on two intersected lattices with open and periodic boundaries

He Feng Du; Yao Ming Yuan; Mao Bin Hu; Ruili Wang; Rui Jiang; Qing Song Wu

doi:10.1088/1742-5468/2010/03/P03014

Totally asymmetric exclusion processes on two intersected lattices with open and periodic boundaries

He Feng Du, Yao Ming Yuan, Mao Bin Hu, Ruili Wang, Rui Jiang, Qing Song Wu

Research output: Journal Publication › Article › peer-review

15 Citations (Scopus)

Abstract

In this paper, we study TASEPs on two intersected lattices. One TASEP has an open boundary (lattice 1) and the other has a periodic boundary (lattice 2). Extensive Monte Carlo simulations are carried out. It is found that the system phase diagram structure depends on the density ρ on lattice 2. Three critical densities ρ_c = 1/3, 1/2 and 2/3 are identified and four phase diagram structures are observed. The density profiles corresponding to all stationary phases and the phase boundaries are calculated using mean-field analysis. The analytic results are in good agreement with the simulation results.

Original language	English
Article number	P03014
Journal	Journal of Statistical Mechanics: Theory and Experiment
Volume	2010
Issue number	3
DOIs	https://doi.org/10.1088/1742-5468/2010/03/P03014
Publication status	Published - 2010
Externally published	Yes

Keywords

Driven diffusive systems (theory)
Phase diagrams (theory)
Traffic models

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Statistics, Probability and Uncertainty

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10.1088/1742-5468/2010/03/P03014

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title = "Totally asymmetric exclusion processes on two intersected lattices with open and periodic boundaries",

abstract = "In this paper, we study TASEPs on two intersected lattices. One TASEP has an open boundary (lattice 1) and the other has a periodic boundary (lattice 2). Extensive Monte Carlo simulations are carried out. It is found that the system phase diagram structure depends on the density ρ on lattice 2. Three critical densities ρc = 1/3, 1/2 and 2/3 are identified and four phase diagram structures are observed. The density profiles corresponding to all stationary phases and the phase boundaries are calculated using mean-field analysis. The analytic results are in good agreement with the simulation results.",

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T1 - Totally asymmetric exclusion processes on two intersected lattices with open and periodic boundaries

AU - Du, He Feng

AU - Yuan, Yao Ming

AU - Hu, Mao Bin

AU - Wang, Ruili

AU - Jiang, Rui

AU - Wu, Qing Song

PY - 2010

Y1 - 2010

N2 - In this paper, we study TASEPs on two intersected lattices. One TASEP has an open boundary (lattice 1) and the other has a periodic boundary (lattice 2). Extensive Monte Carlo simulations are carried out. It is found that the system phase diagram structure depends on the density ρ on lattice 2. Three critical densities ρc = 1/3, 1/2 and 2/3 are identified and four phase diagram structures are observed. The density profiles corresponding to all stationary phases and the phase boundaries are calculated using mean-field analysis. The analytic results are in good agreement with the simulation results.

AB - In this paper, we study TASEPs on two intersected lattices. One TASEP has an open boundary (lattice 1) and the other has a periodic boundary (lattice 2). Extensive Monte Carlo simulations are carried out. It is found that the system phase diagram structure depends on the density ρ on lattice 2. Three critical densities ρc = 1/3, 1/2 and 2/3 are identified and four phase diagram structures are observed. The density profiles corresponding to all stationary phases and the phase boundaries are calculated using mean-field analysis. The analytic results are in good agreement with the simulation results.

KW - Driven diffusive systems (theory)

KW - Phase diagrams (theory)

KW - Traffic models

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M3 - Article

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SN - 1742-5468

VL - 2010

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

IS - 3

M1 - P03014

ER -

Totally asymmetric exclusion processes on two intersected lattices with open and periodic boundaries

Abstract

Keywords

ASJC Scopus subject areas

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