Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some new results on relative entropy production, time reversal, and
  optimal control of time-inhomogeneous diffusion processes   This paper studies time-inhomogeneous nonequilibrium diffusion processes,
including both Brownian dynamics and Langevin dynamics. We derive upper bounds
of the relative entropy production of the time-inhomogeneous process with
respect to the transient invariant probability measures. We also study the time
reversal of the reverse process in Crooks' fluctuation theorem. We show that
the time reversal of the reverse process coincides with the optimally
controlled forward process that leads to zero variance importance sampling
estimator based on Jarzynski's equality.

29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg