Parent Directory Archivi FM 14-08, mp_arc , arxiv:0809.2165, Journal of Statistical Physics, 134, 1121-1131, 20092, doi:10.1007/s10955-008-9655-3

Author Giovanni Gallavotti

Title Thermostats, chaos and Onsager reciprocity

Abstract Finite thermostats are studied in the context of nonequilibrium statistical mechanics. Entropy production rate has been identified with the mechanical quantity expressed by the phase space contraction rate and the currents have been linked to its derivatives with respect to the parameters measuring the forcing intensities. 2In some instances Green-Kubo formulae, hence Onsager reciprocity, have been related to the fluctuation theorem. However, mainly when dissipation takes place at the boundary (as in gases or liquids in contact with thermostats), phase space contraction may be independent on some of the forcing parameters or, even in absence of forcing, phase space contraction may not vanish: then the relation with the fluctuation theorem does not seem to apply. On the other hand phase space contraction can be altered by changing the metric on phase space: here this ambiguity is discussed and employed to show that the relation between the fluctuation theorem and Green-Kubo formulae can be extended and is, by far, more general.
Keywords Nonequilibrium Statistical Mechanics, Chaotic Hypothesis, Fluctuation Theorem, Entropy, Large Deviations, Thermostats

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Giovanni Gallavotti

Last modified: Thu Oct 9 02:50:33 CEST 2008