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Nonequilibrium dynamics in low-dimensional systems

Author

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  • Evans, M.R.
  • Blythe, R.A.

Abstract

In these lectures we give an overview 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.

Suggested Citation

  • Evans, M.R. & Blythe, R.A., 2002. "Nonequilibrium dynamics in low-dimensional systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 313(1), pages 110-152.
    • Handle: RePEc:eee:phsmap:v:313:y:2002:i:1:p:110-152
    DOI: 10.1016/S0378-4371(02)01035-X
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