Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entropy production in systems with random transition rates   We study the entropy production of a system with a finite number of states
connected by random transition rates. The stationary entropy production, driven
out of equilibrium both by asymmetric transition rates and by an external
probability current, is shown to be composed of two contributions whose exact
distributions are calculated in the large system size and close to equilibrium.
The first contribution is related to Joule's law for the heat dissipated in a
classical electrical circuit whereas the second one has a Gaussian distribution
with an extensive average and a finite variance.

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The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
2
The categories of this paper are: math
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex