An introduction to phase transitions in stochastic dynamical systems

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Abstract

We give an introduction to phase transitions in the steady states of systems that evolve stochastically with equilibrium and nonequilibrium dynamics, the latter defined as those that do not possess a time-reversal symmetry. We try as much as possible to discuss both cases within the same conceptual framework, focussing on dynamically attractive 'peaks' in state space. A quantitative characterisation of these peaks leads to expressions for the partition function and free energy that extend from equilibrium steady states to their nonequilibrium counterparts. We show that for certain classes of nonequilibrium systems that have been exactly solved, these expressions provide precise predictions of their macroscopic phase behaviour.

Original languageEnglish
Title of host publicationStatistical Physics of Ageing Phenomena and the Glass Transition
EditorsM Henkel, R Sanctuary, M Pleimling
Place of PublicationBRISTOL
PublisherIOP Publishing Ltd.
Pages112
Number of pages12
ISBN (Print)*************
Publication statusPublished - 2006
EventSummer School on Aging and the Glass Transition - Luxembourg
Duration: 18 Sep 200524 Sep 2005

Conference

ConferenceSummer School on Aging and the Glass Transition
CityLuxembourg
Period18/09/0524/09/05

Keywords

  • ASYMMETRIC EXCLUSION PROCESS
  • EQUILIBRIUM
  • LIQUIDS

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