English

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

Chaotic Dynamics 2009-11-13 v1 Statistical Mechanics

Abstract

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?

Keywords

Cite

@article{arxiv.0804.0776,
  title  = {Role of chaos for the validity of statistical mechanics laws: diffusion and conduction},
  author = {Massimo Cencini and Fabio Cecconi and Massimo Falcioni and Angelo Vulpiani},
  journal= {arXiv preprint arXiv:0804.0776},
  year   = {2009}
}

Comments

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