Fluctuation Theorem and Chaos

Details Fluctuation Theorem and Chaos Fluctuation Theorem and Chaos

2008-02-25

arxiv.org/abs/0802.3694v1

European Physical Journal B (EPJB), 64, 315-320, 2008,

Physics

Condensed Matter

Statistical Mechanics

Basis for the plenary talk at StatPhys23 (Genova July 2007)

Scientific paper

10.1140/epjb/e2008-00137-6

The heat theorem (i.e. the second law of thermodynamics or the existence of entropy) is a manifestation of a general property of hamiltonian mechanics and of the ergodic Hypothesis. In nonequilibrium thermodynamics of stationary states the chaotic hypothesis plays a similar role: it allows a unique determination of the probability distribution (called {\rm SRB} distribution on phase space providing the time averages of the observables. It also implies an expression for a few averages concrete enough to derive consequences of symmetry properties like the fluctuation theorem or to formulate a theory of coarse graining unifying the foundations of equilibrium and of nonequilibrium.

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