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arXiv · 0802.3694

Fluctuation Theorem and Chaos

Giovanni Gallavotti
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Abstract

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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Giovanni Gallavotti. 2008-02-25. Fluctuation Theorem and Chaos. https://doi.org/10.1140/epjb/e2008-00137-6

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