Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Thermal Einstein Relations   We consider a particle moving with equation of motion $\dot x=f(t)$, where
$f(t)$ is a random function with statistics which are independent of $x$ and
$t$, with a finite drift velocity $v=\langle f\rangle$ and in the presence of a
reflecting wall. Far away from the wall, translational invariance implies that
the stationary probability distribution is $P(x)\sim \exp(\alpha x)$. A
classical example of a problem of this type is sedimentation equilibrium, where
$\alpha$ is determined by temperature. In this work we do not introduce a
thermal reservoir and $\alpha$ is determined from the equation of motion. We
consider a general approach to determining $\alpha$ which is not always in
agreement with Einstein's relation between the mean velocity and the diffusion
coefficient. We illustrate our results with a model inspired by the Boltzmann
equation.

18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs