Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal protocol for a collective flashing ratchet   We study a system of independent Brownian particles in a flashing ratchet
potential that can be turned on or off depending on the position of the
particles, with the aim of maximising the speed of the center of mass in the
long run. First, an explanation on how to find the optimal protocol using
Bellman's principle of optimality for any number of particles is given. Then
the problem is numerically solved for a system of 2 particles. Simulations show
that the optimal protocol performs better than the maximisation of
instantaneous center-of-mass speed, a protocol known to give better results for
2 particles than any open-loop protocol.

1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom