Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Direct verification of the fluctuation-dissipation relation in viscously
  coupled oscillators   The fluctuation-dissipation relation, a central result in non-equilibrium
statistical physics, relates equilibrium fluctuations in a system to its linear
response to external forces. Here we provide a direct experimental verification
of this relation for viscously coupled oscillators, as realized by a pair of
optically trapped colloidal particles. A theoretical analysis, in which
interactions mediated by slow viscous flow are represented by non-local
friction tensors, matches experimental results and reveals a frequency maximum
in the amplitude of the mutual response which is a sensitive function of the
trap stiffnesses and the friction tensors. This allows for its location and
width to be tuned and suggests the utility of the trap setup for accurate
two-point microrheology.

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The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin