Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non equilibrium current fluctuations in stochastic lattice gases   We study current fluctuations in lattice gases in the macroscopic limit
extending the dynamic approach for density fluctuations developed in previous
articles. More precisely, we establish a large deviation principle for a
space-time fluctuation $j$ of the empirical current with a rate functional $\mc
I (j)$. We then estimate the probability of a fluctuation of the average
current over a large time interval; this probability can be obtained by solving
a variational problem for the functional $\mc I $. We discuss several possible
scenarios, interpreted as dynamical phase transitions, for this variational
problem. They actually occur in specific models. We finally discuss the time
reversal properties of $\mc I$ and derive a fluctuation relationship akin to
the Gallavotti-Cohen theorem for the entropy production.

37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat