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Role of Chaos for the Validity of Statistical Mechanics Laws: Diffusion and Conduction

2007/11/27 by Massimo Cencini, Fabio Cecconi, Massimo Falcioni +1
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #CHAOS (operating system) #Consistency (knowledge bases) #Diffusion #Statistical fluctuations #Statistical mechanics #Theoretical and Computational Physics #Thermal conduction #Work (physics) #cond-mat.stat-mech #nlin.CD #stochastic dynamics and bifurcation

paper · pdf · doi:10.1007/978-3-540-72995-2_3

published as In "The Fermi-Pasta-Ulam problem", G. Gallavotti (ed.) Springer Lecture Notes in Physics vol. 728, 123-149 (2008) http://www.springer.com/physics/book/978-3-540-72994-5 · Latex, 27 pages, 10 eps-figures. Proceedings of the Conference "FPU 50 years since" Rome 7-8 May 2004

openalex publication_date 2007/11/27 · arxiv created 2008/04/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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?

Citations