Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transport coefficients for a confined Brownian ratchet operating between
  two heat reservoirs   We discuss two-dimensional diffusion of a Brownian particle confined to a
periodic asymmetric channel with soft walls modeled by a parabolic potential.
In the channel, the particle experiences different noise intensities, or
temperatures, in the transversal and longitudinal directions. The model is
inspired by the famous Feynman's ratchet and pawl. Using ideas of the
Fick-Jacobs approximation we derive the mean velocity of the particle, the
effective diffusion coefficient, and the stationary probability density in the
potential unit cell. The derived results are exact for small channel width.
Yet, we check by exact numerical calculation that they qualitatively describe
the ratchet effect observed for an arbitrary width of the channel.

7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex