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Nonequilibrium Dynamics in Low Dimensional Systems

M. R. Evans·R. A. Blythe
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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.

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M. R. Evans, R. A. Blythe. 2001-12-10. Nonequilibrium Dynamics in Low Dimensional Systems. https://doi.org/10.1016/s0378-4371(02)01035-x

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