Condensation transitions in a one-dimensional zero-range process with a single defect site

AG Angel; MR Evans; D Mukamel

doi:10.1088/1742-5468/2004/04/P04001

Condensation transitions in a one-dimensional zero-range process with a single defect site

AG Angel^*, MR Evans, D Mukamel

^*Corresponding author for this work

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

Abstract

Condensation occurs in nonequilibrium steady states when a finite fraction of the particles in the system occupies a single lattice site. We study condensation transitions in a one-dimensional zero-range process with a single defect site. The system is analysed in the grand canonical and canonical ensembles and the two are contrasted. Two distinct condensation mechanisms are found in the grand canonical ensemble. Discrepancies between the infinite and large but finite systems' particle current versus particle density diagrams are investigated and an explanation for how the finite current goes above a maximum value predicted for infinite systems is found in the canonical ensemble.

Original language	English
Article number	04001
Number of pages	16
Journal	Journal of Statistical Mechanics: Theory and Experiment
DOIs	https://doi.org/10.1088/1742-5468/2004/04/P04001
Publication status	Published - Apr 2004

Keywords / Materials (for Non-textual outputs)

driven diffusive systems (theory)
stochastic particle dynamics (theory)
PHASE-TRANSITIONS
TRAFFIC FLOW
CELLULAR-AUTOMATA
SYSTEMS
MODELS
STATES

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10.1088/1742-5468/2004/04/P04001

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title = "Condensation transitions in a one-dimensional zero-range process with a single defect site",

abstract = "Condensation occurs in nonequilibrium steady states when a finite fraction of the particles in the system occupies a single lattice site. We study condensation transitions in a one-dimensional zero-range process with a single defect site. The system is analysed in the grand canonical and canonical ensembles and the two are contrasted. Two distinct condensation mechanisms are found in the grand canonical ensemble. Discrepancies between the infinite and large but finite systems' particle current versus particle density diagrams are investigated and an explanation for how the finite current goes above a maximum value predicted for infinite systems is found in the canonical ensemble.",

keywords = "driven diffusive systems (theory), stochastic particle dynamics (theory), PHASE-TRANSITIONS, TRAFFIC FLOW, CELLULAR-AUTOMATA, SYSTEMS, MODELS, STATES",

author = "AG Angel and MR Evans and D Mukamel",

year = "2004",

month = apr,

doi = "10.1088/1742-5468/2004/04/P04001",

language = "English",

journal = " Journal of Statistical Mechanics: Theory and Experiment",

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TY - JOUR

T1 - Condensation transitions in a one-dimensional zero-range process with a single defect site

AU - Angel, AG

AU - Evans, MR

AU - Mukamel, D

PY - 2004/4

Y1 - 2004/4

N2 - Condensation occurs in nonequilibrium steady states when a finite fraction of the particles in the system occupies a single lattice site. We study condensation transitions in a one-dimensional zero-range process with a single defect site. The system is analysed in the grand canonical and canonical ensembles and the two are contrasted. Two distinct condensation mechanisms are found in the grand canonical ensemble. Discrepancies between the infinite and large but finite systems' particle current versus particle density diagrams are investigated and an explanation for how the finite current goes above a maximum value predicted for infinite systems is found in the canonical ensemble.

AB - Condensation occurs in nonequilibrium steady states when a finite fraction of the particles in the system occupies a single lattice site. We study condensation transitions in a one-dimensional zero-range process with a single defect site. The system is analysed in the grand canonical and canonical ensembles and the two are contrasted. Two distinct condensation mechanisms are found in the grand canonical ensemble. Discrepancies between the infinite and large but finite systems' particle current versus particle density diagrams are investigated and an explanation for how the finite current goes above a maximum value predicted for infinite systems is found in the canonical ensemble.

KW - driven diffusive systems (theory)

KW - stochastic particle dynamics (theory)

KW - PHASE-TRANSITIONS

KW - TRAFFIC FLOW

KW - CELLULAR-AUTOMATA

KW - SYSTEMS

KW - MODELS

KW - STATES

UR - http://arxiv.org/abs/cond-mat/0401262

U2 - 10.1088/1742-5468/2004/04/P04001

DO - 10.1088/1742-5468/2004/04/P04001

M3 - Article

SN - 1742-5468

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

M1 - 04001

ER -

Condensation transitions in a one-dimensional zero-range process with a single defect site

Abstract

Keywords / Materials (for Non-textual outputs)

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