Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Steady diffusion in a drift field: a comparison of large deviation
  techniques and multiple-scale analysis   A particle with internal unobserved states diffusing in a force field will
generally display effective advection-diffusion. The drift velocity is
proportional to the mobility averaged over the internal states, or effective
mobility, while the effective diffusion has two terms. One is of the
equilibrium type and satisfies an Einstein relation with the effective mobility
while the other is quadratic in the applied force. In this contribution we
present two new methods to obtain these results, on the one hand using large
deviation techniques, and on the other by a multiple-scale analysis, and
compare the two. We consider both systems with discrete internal states and
continuous internal states. We show that the auxiliary equations in the
multiple-scale analysis can also be derived in second-order perturbation theory
in a large deviation theory of a generating function (discrete internal states)
or generating functional (continuous internal states). We discuss that
measuring the two components of the effective diffusion give a way to determine
kinetic rates from only first and second moments of the displacement in steady
state.

12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th