Nonequilibrium dynamics in low-dimensional systems

M R Evans, Richard Blythe

Research output: Contribution to journalArticlepeer-review

Abstract

In these lectures we give an over-view of nonequilibrium stochastic systems. In particular we discuss in detail two models, the asymmetric exclusion process and a ballistic reaction model, that illustrate many general features of nonequilibrium dynamics: for example coarsening dynamics and nonequilibrium phase transitions, As a secondary theme we shall show how a common mathematical structure, the q-deformed harmonic oscillator algebra, serves to furnish exact results for both systems. Thus the lectures also serve as a gentle introduction to things q-deformed, (C) 2002 Elsevier Science B.V. All rights reserved.

Original languageEnglish
Pages (from-to)110-152
Number of pages43
JournalPhysica a-Statistical mechanics and its applications
Volume313
Issue number1-2
DOIs
Publication statusPublished - 1 Oct 2002

Keywords

  • nonequilibrium dynamics
  • stochastic processes
  • phase transition
  • asymmetric exclusion process
  • reaction kinetics
  • SIMPLE EXCLUSION PROCESS
  • DRIVEN DIFFUSIVE SYSTEMS
  • SPONTANEOUS SYMMETRY-BREAKING
  • OPEN BOUNDARIES
  • PHASE-TRANSITIONS
  • BALLISTIC ANNIHILATION
  • ZERO-TEMPERATURE
  • DEFECT PARTICLE
  • LATTICE GASES
  • MODEL

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