Role of chaos for the validity of statistical mechanics laws: diffusion and conduction

Details Role of chaos for the validity of statistical mechanics laws: diffusion and conduction Role of chaos for the validity of statistical mechanics laws: diffusion and conduction

2008-04-04

arxiv.org/abs/0804.0776v1

In "The Fermi-Pasta-Ulam problem", G. Gallavotti (ed.) Springer Lecture Notes in Physics vol. 728, 123-149 (2008) http://www

Nonlinear Sciences

Chaotic Dynamics

Latex, 27 pages, 10 eps-figures. Proceedings of the Conference "FPU 50 years since" Rome 7-8 May 2004

Scientific paper

10.1007/978-3-540-72995-2_3

Several years after the pioneering work by Fermi Pasta and Ulam, fundamental questions about the link between dynamical and statistical properties remain still open in modern statistical mechanics. Particularly controversial is the role of deterministic chaos for the validity and consistency of statistical approaches. This contribution reexamines such a debated issue taking inspiration from the problem of diffusion and heat conduction in deterministic systems. Is microscopic chaos a necessary ingredient to observe such macroscopic phenomena?

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