Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic line integrals and stream functions as metrics of
  irreversibility and heat transfer   Stochastic line integrals provide a useful tool for quantitatively
characterizing irreversibility and detailed balance violation in noise-driven
dynamical systems. A particular realization is the stochastic area, recently
studied in coupled electrical circuits. Here, we provide a general framework
for understanding properties of stochastic line integrals and clarify their
implementation for experiments and simulations. For two-dimensional systems,
stochastic line integrals can be expressed in terms of a stream function, the
sign of which determines the orientation of steady-state probability currents.
Additionally, the stream function permits analytical understanding of the
scaling dependence of stochastic area on key parameters such as the noise
strength for both nonlinear and linear springs. Theoretical results are
supported by numerical studies of an overdamped, two-dimensional mass-spring
system driven out of equilibrium.

18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex