Maintenance of order in a moving strong condensate

Justin Whitehouse*, André Costa, Richard A. Blythe, Martin R. Evans

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We investigate the conditions under which a moving condensate may exist in a driven mass transport system. Our paradigm is a minimal mass transport model in which n - 1 particles move simultaneously from a site containing n > 1 particles to the neighbouring site in a preferred direction. In the spirit of a zero-range process the rate u(n) of this move depends only on the occupation of the departure site. We study a hopping rate u(n) = 1 + b/n(alpha) numerically and find a moving strong condensate phase for b > b(c)(alpha) for all alpha > 0. This phase is characterised by a condensate that moves through the system and comprises a fraction of the system's mass that tends to unity. The mass lost by the condensate as it moves is constantly replenished from the trailing tail of low occupancy sites that collectively comprise a vanishing fraction of the mass. We formulate an approximate analytical treatment of the model that allows a reasonable estimate of b(c)(alpha) to be obtained. We show numerically (for alpha = 1) that the transition is of mixed order, exhibiting a discontinuity in the order parameter as well as a diverging length scale as b SE arrow b(c).

Original languageEnglish
Article number11029
Number of pages19
Journal Journal of Statistical Mechanics: Theory and Experiment
DOIs
Publication statusPublished - Nov 2014

Keywords

  • phase diagrams (theory)
  • stochastic processes (theory)
  • zero-range processes
  • FACTORIZED STEADY-STATES
  • PHASE-TRANSITIONS
  • MODELS
  • AGGREGATION
  • SYSTEMS

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