Phase transition in a non-conserving driven diffusive system

MR Evans*, Y Kafri, E Levine, D Mukamel

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

An asymmetric exclusion process comprising positive particles, negative particles and vacancies is introduced. The model is defined on a ring and the dynamics does not conserve the number of particles. We solve the steady state exactly and show that it can exhibit a continuous phase transition in which the density of vacancies decreases to zero. The model has no absorbing state and furnishes an example of a one-dimensional phase transition in a homogeneous non-conserving system which does not belong to the absorbing state universality classes.

Original languageEnglish
Article numberPII S0305-4470(02)3662-5
Pages (from-to)L433-L438
Number of pages6
JournalJournal of Physics A: Mathematical and General
Volume35
Issue number29
Publication statusPublished - 26 Jul 2002

Keywords

  • SIMPLE EXCLUSION PROCESS
  • TRANSLATIONAL INVARIANCE
  • SPONTANEOUS BREAKING
  • STATIONARY STATES
  • MODEL
  • SEPARATION
  • RING

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