 98754 Maes C.
 The Fluctuation Theorem as a Gibbs Property.
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Dec 18, 98

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Abstract. Common ground to recent studies exploiting relations between
dynamical systems and nonequilibrium statistical mechanics is, so
we argue, the standard Gibbs formalism applied on the level of
spacetime histories. The assumptions
(chaoticity principle) underlying the GallavottiCohen fluctuation
theorem make it possible, using symbolic dynamics, to employ the
theory of onedimensional lattice spin systems. The Kurchan and
LebowitzSpohn analysis of this fluctuation theorem for stochastic
dynamics can be restated on the level of the spacetime 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.
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