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On the Foundations of Statistical Mechanics: Ergodicity, Many Degrees of Freedom and Inference

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2014 Chinese Physical Society and IOP Publishing Ltd
, , Citation Chibbaro Sergio et al 2014 Commun. Theor. Phys. 62 469 DOI 10.1088/0253-6102/62/4/04

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Author affiliations

1 Sorbonne Universités, UPMC Univ Paris 06, CNRS, UMR7190, Institut Jean Le Rond d'Alembert, F-75005 Paris, France

2 Dip. Scienze Matematiche, Politecnico di Torino, C. Duca degli Abruzzi 24, Torino, Italy

3 INFN, Sezione di Torino, Via P. Giuria 1, Torino, Italy

4 Dipartimento di Fisica, Università "La Sapienza" Roma, Italy

5 ISC-CNR, Piazzale A. Moro 2 - 00185 Roma, Italy

6 Kavli Institute for Theoretical Physics China, CAS, Beijing 100190, China

Dates

  1. Received 17 February 2014
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0253-6102/62/4/469

Abstract

We review the main aspects of the foundations of statistical mechanics. In particular we explain why many degrees of freedom are necessary, while chaos (in the sense of positive Lyapunov exponents) is only marginally relevant, for the emergence of statistical laws in macroscopic systems.

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10.1088/0253-6102/62/4/04