Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diffusion of a sphere in a dilute solution of polymer coils   We calculate the short time and the long time diffusion coefficient of a
spherical tracer particle in a polymer solution in the low density limit by
solving the Smoluchowski equation for a two-particle system and applying a
generalized Einstein relation (fluctuation dissipation theorem). The tracer
particle as well as the polymer coils are idealized as hard spheres with a
no-slip boundary condition for the solvent but the hydrodynamic radius of the
polymer coils is allowed to be smaller than the direct-interaction radius. We
take hydrodynamic interactions up to 11th order in the particle distance into
account. For the limit of small polymers, the expected generalized
Stokes-Einstein relation is found. The long time diffusion coefficient also
roughly obeys the generalized Stokes-Einstein relation for larger polymers
whereas the short time coefficient does not. We find good qualitative and
quantitative agreement to experiments.

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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn