An Introduction to Chaos in Nonequilibrium Statistical by J. R. Dorfman

By J. R. Dorfman

This e-book is an creation to the purposes in nonequilibrium statistical mechanics of chaotic dynamics, and in addition to using ideas in statistical mechanics very important for an realizing of the chaotic behaviour of fluid structures. the basic suggestions of dynamical platforms thought are reviewed and easy examples are given. complicated issues together with SRB and Gibbs measures, risky periodic orbit expansions, and purposes to billiard-ball platforms, are then defined. The textual content emphasises the connections among shipping coefficients, had to describe macroscopic houses of fluid flows, and amounts, corresponding to Lyapunov exponents and Kolmogorov-Sinai entropies, which describe the microscopic, chaotic behaviour of the fluid. Later chapters examine the jobs of the increasing and contracting manifolds of hyperbolic dynamical platforms and the massive variety of debris in macroscopic structures. workouts, precise references and recommendations for additional studying are incorporated.

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