Nonequilibrium Dynamics in Low Dimensional Systems
arXiv:cond-mat/0110630 · doi:10.1016/S0378-4371(02)01035-X
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.
48 pages LaTeX2e with 9 figures and using elsart.cls (included); Lectures at the International Summer School on Fundamental Problems in Statistical Physics X, August-September 2001, Altenberg, Germany. v2 corrects some errors and includes further discussion/references
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