Disorder and nonconservation in a driven diffusive system

MR Evans*, T Hanney, Y Kafri

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We consider a disordered asymmetric exclusion process in which randomly chosen sites do not conserve particle number. The model is motivated by features of many interacting molecular motors such as RNA polymerases. We solve the steady state exactly in the two limits of infinite and vanishing nonconserving rates. The first limit is used as an approximation to large but finite rates and allows the study of Griffiths singularities in a nonequilibrium steady state despite the absence of any transition in the pure model. The disorder is also shown to induce a stretched exponential decay of system density with stretching exponent phi=2/5.

Original languageEnglish
Article number066124
Number of pages6
JournalPhysical Review E - Statistical, Nonlinear and Soft Matter Physics
Volume70
Issue number6
DOIs
Publication statusPublished - Dec 2004

Keywords

  • PHASE-TRANSITIONS
  • EXCLUSION MODELS
  • MOLECULAR MOTORS
  • EQUILIBRIUM

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