Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A minimal model of an autonomous thermal motor   We consider a model of a Brownian motor composed of two coupled overdamped
degrees of freedom moving in periodic potentials and driven by two heat
reservoirs. This model exhibits a spontaneous breaking of symmetry and gives
rise to directed transport in the case of a non- vanishing interparticle
interaction strength. For strong coupling between the particles we derive an
expression for the propagation velocity valid for arbitrary periodic
potentials. In the limit of strong coupling the model is equivalent to the
B\"uttiker-Landauer model [1-3] for a single particle diffusing in an
environment with position dependent temperature. By using numerical
calculations of the Fokker-Planck equation and simulations of the Langevin
equations we study the model for arbitrary coupling, retrieving many features
of the strong coupling limit. In particular, directed transport emerges even
for symmetric potentials. For distinct heat reservoirs the heat currents are
well-defined quantities allowing a study of the motor efficiency. We show that
the optimal working regime occurs for moderate coupling. Finally, we introduce
a model with discrete phase space which captures the essential features of the
continuous model, can be solved in the limit of weak coupling, and exhibits a
larger efficiency than the continuous counterpart.

17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph