Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Instantaneous equilibrium Transport for Brownian systems under
  time-dependent temperature and potential variations: Reversibility, Heat and
  work relations, and Fast Isentropic process   The theory of constructing instantaneous equilibrium (ieq) transition under
arbitrary time-dependent temperature and potential variation for a Brownian
particle is developed. It is shown that it is essential to consider the
underdamped dynamics for temperature-changing transitions. The ieq is
maintained by a time-dependent auxiliary position and momentum potential, which
can be calculated for given time-dependent transition protocols. Explicit
analytic results are derived for the work and heat statistics, energy, and
entropy changes for harmonic and non-harmonic trapping potential with arbitrary
time-dependent potential parameters and temperature protocols. Numerical
solutions of the corresponding Langevin dynamics are computed to confirm the
theoretical results. Although ieq transition of the reverse process is not the
time-reversal of the ieq transition of the forward process due to the
odd-parity of controlling parameters, their phase-space distribution functions
restore the time-reversal symmetry, and hence the energy and entropy changes of
the ieq of the reverse process are simply the negative of that of the forward
process. Furthermore, it is shown that it is possible to construct an ieq
transition that has zero entropy production at a finite transition rate, i.e.,
a fast ieq isentropic process, and is further demonstrated by explicit Langevin
dynamics simulations. Our theory provides fundamental building blocks for
designing controlled microscopic heat engine cycles. Implications for
constructing an efficient Brownian heat engine are also discussed.

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The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ