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Kinetic Theory of Dynamical Systems

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Author: R. van Zon, H. van Beijeren, J. R. Dorfman
Url: http://babbage.sissa.it/abs/chao-dyn/9906040
Format: Ps, Pdf
Category: Dynamic systems
Clicks: 1996

Description
It is generally believed that the dynamics of simple fluids can be considered to be chaotic, at least to the extent that they can be modeled as classical systems of particles interacting with short range, repulsive forces. Here they give a brief introduction to those parts of chaos theory that are relevant for understanding some features of non-equilibrium processes in fluids. They introduce the notions of Lyapunov exponents, Kolmogorov-Sinai entropy and related quantities using some simple low-dimensional systems as "toy" models of the more complicated systems encountered in the study of fluids.

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