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

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