Anomalous coarsening in disordered exclusion processes

Róbert Juhász, G. Ódor

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We study coarsening phenomena in three different simple exclusion processes with quenched disordered jump rates. For a totally asymmetric process, an earlier phenomenological description is improved, yielding ξ(t)∼t/(lnt) 2 for the time dependence of the length scale, which is found to be in agreement with results of Monte Carlo simulations. For a partially asymmetric process, the logarithmically slow coarsening predicted by a phenomenological theory is confirmed by Monte Carlo simulations and numerical mean-field calculations. Finally, coarsening in a bidirectional, two-lane model with random lane-change rates is studied. Here, Monte Carlo simulations indicate an unusual dependence of the dynamical exponent on the density of particles.

Original languageEnglish
Article numberP08004
JournalJournal of Statistical Mechanics: Theory and Experiment
Volume2012
Issue number8
DOIs
Publication statusPublished - Aug 2012

Fingerprint

Exclusion Process
Coarsening
exclusion
Anomalous
Monte Carlo Simulation
simulation
Time Dependence
Length Scale
Mean Field
time dependence
Jump
Exponent
exponents
Monte Carlo simulation
Exclusion
Model

Keywords

  • coarsening processes (theory)
  • disordered systems (theory)
  • driven diffusive systems (theory)

ASJC Scopus subject areas

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

Cite this

Anomalous coarsening in disordered exclusion processes. / Juhász, Róbert; Ódor, G.

In: Journal of Statistical Mechanics: Theory and Experiment, Vol. 2012, No. 8, P08004, 08.2012.

Research output: Contribution to journalArticle

@article{21d80469c7284915801e9b30d3a4eff9,
title = "Anomalous coarsening in disordered exclusion processes",
abstract = "We study coarsening phenomena in three different simple exclusion processes with quenched disordered jump rates. For a totally asymmetric process, an earlier phenomenological description is improved, yielding ξ(t)∼t/(lnt) 2 for the time dependence of the length scale, which is found to be in agreement with results of Monte Carlo simulations. For a partially asymmetric process, the logarithmically slow coarsening predicted by a phenomenological theory is confirmed by Monte Carlo simulations and numerical mean-field calculations. Finally, coarsening in a bidirectional, two-lane model with random lane-change rates is studied. Here, Monte Carlo simulations indicate an unusual dependence of the dynamical exponent on the density of particles.",
keywords = "coarsening processes (theory), disordered systems (theory), driven diffusive systems (theory)",
author = "R{\'o}bert Juh{\'a}sz and G. {\'O}dor",
year = "2012",
month = "8",
doi = "10.1088/1742-5468/2012/08/P08004",
language = "English",
volume = "2012",
journal = "Journal of Statistical Mechanics: Theory and Experiment",
issn = "1742-5468",
publisher = "IOP Publishing Ltd.",
number = "8",

}

TY - JOUR

T1 - Anomalous coarsening in disordered exclusion processes

AU - Juhász, Róbert

AU - Ódor, G.

PY - 2012/8

Y1 - 2012/8

N2 - We study coarsening phenomena in three different simple exclusion processes with quenched disordered jump rates. For a totally asymmetric process, an earlier phenomenological description is improved, yielding ξ(t)∼t/(lnt) 2 for the time dependence of the length scale, which is found to be in agreement with results of Monte Carlo simulations. For a partially asymmetric process, the logarithmically slow coarsening predicted by a phenomenological theory is confirmed by Monte Carlo simulations and numerical mean-field calculations. Finally, coarsening in a bidirectional, two-lane model with random lane-change rates is studied. Here, Monte Carlo simulations indicate an unusual dependence of the dynamical exponent on the density of particles.

AB - We study coarsening phenomena in three different simple exclusion processes with quenched disordered jump rates. For a totally asymmetric process, an earlier phenomenological description is improved, yielding ξ(t)∼t/(lnt) 2 for the time dependence of the length scale, which is found to be in agreement with results of Monte Carlo simulations. For a partially asymmetric process, the logarithmically slow coarsening predicted by a phenomenological theory is confirmed by Monte Carlo simulations and numerical mean-field calculations. Finally, coarsening in a bidirectional, two-lane model with random lane-change rates is studied. Here, Monte Carlo simulations indicate an unusual dependence of the dynamical exponent on the density of particles.

KW - coarsening processes (theory)

KW - disordered systems (theory)

KW - driven diffusive systems (theory)

UR - http://www.scopus.com/inward/record.url?scp=84866334621&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84866334621&partnerID=8YFLogxK

U2 - 10.1088/1742-5468/2012/08/P08004

DO - 10.1088/1742-5468/2012/08/P08004

M3 - Article

VL - 2012

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

SN - 1742-5468

IS - 8

M1 - P08004

ER -