Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotics of the entropy production rate for $d$-dimensional
  Ornstein-Uhlenbeck processes   In the context of non-equilibrium statistical physics, the entropy production
rate is an important concept to describe how far a specific state of a system
is from its equilibrium state. In this paper, we establish a central limit
theorem and a moderate deviation principle for the entropy production rate of
$d$-dimensional Ornstein-Uhlenbeck processes, by the techniques of functional
inequalities such as Poincar\'e inequality and log-Sobolev inequality. As an
application, we obtain a law of iterated logarithm for the entropy production
rate.

33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs