Zero-range processes with saturated condensation: the steady state and dynamics

A. G. Thompson; J. Tailleur; Michael Cates; Richard Blythe

doi:10.1088/1742-5468/2010/02/P02013

Zero-range processes with saturated condensation: the steady state and dynamics

A. G. Thompson
, J. Tailleur
, Michael Cates
, Richard Blythe

School of Physics and Astronomy

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

Abstract

We study a class of zero-range processes in which the real-space condensation phenomenon does not occur and is replaced by a saturated condensation: that is, an extensive number of finite-size 'condensates' in the steady state. We determine the conditions under which this occurs, and investigate the dynamics of relaxation to the steady state. We identify two stages: a rapid initial growth of condensates followed by a slow process of activated evaporation and condensation. We analyse these nonequilibrium dynamics with a combination of mean-field approximations, first-passage-time calculations and a fluctuation-dissipation type of approach.

Original language	English
Article number	P02013
Pages (from-to)	-
Number of pages	21
Journal	Journal of Statistical Mechanics: Theory and Experiment
DOIs	https://doi.org/10.1088/1742-5468/2010/02/P02013
Publication status	Published - Feb 2010

Keywords / Materials (for Non-textual outputs)

dynamical processes (theory)
stochastic processes (theory)
zero-range processes
MODEL

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10.1088/1742-5468/2010/02/P02013

Edinbugrh Soft Matter and Statistical Physics Programme Grant Renewal
Cates, M. (Principal Investigator), Poon, W. (Co-investigator), Ackland, G. (Other), Clegg, P. (Other), Evans, M. (Other), MacPhee, C. (Other) & Marenduzzo, D. (Other)
EPSRC
1/10/07 → 31/03/12
Project: Research

Cite this

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AU - Cates, Michael

AU - Blythe, Richard

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AB - We study a class of zero-range processes in which the real-space condensation phenomenon does not occur and is replaced by a saturated condensation: that is, an extensive number of finite-size 'condensates' in the steady state. We determine the conditions under which this occurs, and investigate the dynamics of relaxation to the steady state. We identify two stages: a rapid initial growth of condensates followed by a slow process of activated evaporation and condensation. We analyse these nonequilibrium dynamics with a combination of mean-field approximations, first-passage-time calculations and a fluctuation-dissipation type of approach.

KW - dynamical processes (theory)

KW - stochastic processes (theory)

KW - zero-range processes

KW - MODEL

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JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

M1 - P02013

ER -

Zero-range processes with saturated condensation: the steady state and dynamics

Abstract

Keywords / Materials (for Non-textual outputs)

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Projects

Edinbugrh Soft Matter and Statistical Physics Programme Grant Renewal

Cite this