Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximal power output of a stochastic thermodynamic engine   Classical thermodynamics aimed to quantify the efficiency of thermodynamic
engines by bounding the maximal amount of mechanical energy produced compared
to the amount of heat required. While this was accomplished early on, by Carnot
and Clausius, the more practical problem to quantify limits of power that can
be delivered, remained elusive due to the fact that quasistatic processes
require infinitely slow cycling, resulting in a vanishing power output. Recent
insights, drawn from stochastic models, appear to bridge the gap between theory
and practice in that they lead to physically meaningful expressions for the
dissipation cost in operating a thermodynamic engine over a finite time window.
Building on this framework of {\em stochastic thermodynamics} we derive bounds
on the maximal power that can be drawn by cycling an overdamped ensemble of
particles via a time-varying potential while alternating contact with heat
baths of different temperature ($T_c$ cold, and $T_h$ hot). Specifically,
assuming a suitable bound $M$ on the spatial gradient of the controlling
potential, we show that the maximal achievable power is bounded by
$\frac{M}{8}(\frac{T_h}{T_c}-1)$. Moreover, we show that this bound can be
reached to within a factor of $(\frac{T_h}{T_c}-1)/(\frac{T_h}{T_c}+1)$ by
operating the cyclic thermodynamic process with a quadratic potential.

20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex