Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Functionals in stochastic thermodynamics: how to interpret stochastic
  integrals   In stochastic thermodynamics standard concepts from macroscopic
thermodynamics, such as heat, work, and entropy production, are generalized to
small fluctuating systems by defining them on a trajectory-wise level. In
Langevin systems with continuous state-space such definitions involve
stochastic integrals along system trajectories, whose specific values depend on
the discretization rule used to evaluate them (i.e. the "interpretation" of the
noise terms in the integral). Via a systematic mathematical investigation of
this apparent dilemma, we corroborate the widely used standard interpretation
of heat- and work-like functionals as Stratonovich integrals. We furthermore
recapitulate the anomalies that are known to occur for entropy production in
the presence of temperature gradients.

29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics