Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Brownian motion of ellipsoidal particles on a granular magnetic bath   We study the Brownian motion of ellipsoidal particles lying on an agitated
granular bath composed of magnetic particles. We quantify the mobility of
different floating ellipsoidal particles using the mean square displacement and
the mean square angular displacement, and relate the diffusion coefficients to
the bath particle motion. In terms of the particle major radius $R$, we find
the translational diffusion coefficient scales roughly as $1/R^2$ and the
rotational diffusion coefficient scales as roughly $1/R^4$; this is consistent
with the assumption that diffusion arises from random kicks of the bath
particles underneath the floating particle. By varying the magnetic forcing,
the bath particles diffusivity changes by a factor of ten; over this range, the
translational and rotational diffusion of the floating particles change by a
factor of fifty. However, the ratio of the two diffusion constants for the
floating particles is forcing-independent. Unusual aspects of the floating
particle motion include non-Gaussian statistics for their displacements.

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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con