Authors: G. Gallavotti, E. G. D. Cohen
Tilte: Dynamical ensembles in stationary states (31 pages)
Archived: in mp_arc #95-32; (first version)
in chao-dyn@xyz.lanl.gov #9501015; (first version)
in http://chimera.roma1.infn.it (last version)
Abstract: We propose as a generalization of an idea of
Ruelle's to describe turbulent fluid flow a chaotic
hypothesis for reversible dissipative many particle systems
in nonequilibrium stationary states in general. This
implies an extension of the zeroth law of thermodynamics to
non equilibrium states and it leads to the identification
of a unique distribution $\m$ describing the asymptotic
properties of the time evolution of the system for initial
data randomly chosen with respect to a uniform distribution
on phase space. For conservative systems in thermal
equilibrium the chaotic hypothesis implies the ergodic
hypothesis. We outline a procedure to obtain the
distribution $\m$: it leads to a new unifying point of view
for the phase space behavior of dissipative and
conservative systems. The chaotic hypothesis is confirmed
in a non trivial, parameter--free, way by a recent computer
experiment on the entropy production fluctuations in a
shearing fluid far from equilibrium. Similar applications
to other models are proposed, in particular to a model for
the Kolmogorov--Obuchov theory for turbulent flow.
Fisica, Universita' di Roma La Sapienza,
P.le Moro 2, 00185, Roma, Italia.
e-mail giovanni@ipparco.roma1.infn.it
tel. 6-49914370, fax 6-4957697