Nonequilibrium dynamics in low-dimensional systems

M.R. Evans and R.A. Blythe

Physica A: Statistical Mechanics and its Applications, 2002, vol. 313, issue 1, 110-152

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.

Keywords: Nonequilibrium dynamics; Stochastic processes; Phase transition; Asymmetric exclusion process; Reaction kinetics (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:313:y:2002:i:1:p:110-152

DOI: 10.1016/S0378-4371(02)01035-X

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