Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two harmonically coupled Brownian particles in random media   We study the behaviour of two Brownian particles coupled by an elastic
harmonic force in a quenched disordered medium. We found that to first order in
disorder strength, the relative motion weakens (with respect to the reference
state of a Brownian particle with the double mass) the effect of the quenched
forces on the centre of mass motion of the Brownian particles, so that the
motion will become less subdiffusive (superdiffusive) for potential
(solenoidal) disorder. The mean-square relative distance between the particles
behaves in a different way depending of whether the particles are free to move
or one particle is anchored in the space. While the effect of nonpotential
disorder consists in increasing the mean-square distance in both cases, the
potential disorder decreases the mean-square distance, when the particles are
free to move, and increases it when one particle is anchored in the space.

28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin