Maes C.
The Fluctuation Theorem as a Gibbs Property.
(547K, PostScript)
ABSTRACT. Common ground to recent studies exploiting relations between
dynamical systems and non-equilibrium statistical mechanics is, so
we argue, the standard Gibbs formalism applied on the level of
space-time histories. The assumptions
(chaoticity principle) underlying the Gallavotti-Cohen fluctuation
theorem make it possible, using symbolic dynamics, to employ the
theory of one-dimensional lattice spin systems. The Kurchan and
Lebowitz-Spohn analysis of this fluctuation theorem for stochastic
dynamics can be restated on the level of the space-time measure
which is a Gibbs measure for an interaction determined by the
transition probabilities. In this note we understand the
fluctuation theorem as a Gibbs property as it follows from the very
definition of Gibbs state. We give a local version of the
fluctuation theorem in the Gibbsian context and we derive from this
a version also for some class of spatially extended stochastic
dynamics.