Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non equilibrium steady states: fluctuations and large deviations of the
  density and of the current   These lecture notes give a short review of methods such as the matrix ansatz,
the additivity principle or the macroscopic fluctuation theory, developed
recently in the theory of non-equilibrium phenomena. They show how these
methods allow to calculate the fluctuations and large deviations of the density
and of the current in non-equilibrium steady states of systems like exclusion
processes. The properties of these fluctuations and large deviation functions
in non-equilibrium steady states (for example non-Gaussian fluctuations of
density or non-convexity of the large deviation function which generalizes the
notion of free energy) are compared with those of systems at equilibrium.

36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
19
The categories of this paper are: eess