Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Fluctuation Theorem as a Gibbs Property   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.

31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas