Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Correlation Dimension of Inertial Particles in Random Flows   We obtain an implicit equation for the correlation dimension of dynamical
systems in terms of an integral over a propagator. We illustrate the utility of
this approach by evaluating the correlation dimension for inertial particles
suspended in a random flow. In the limit where the correlation time of the flow
field approaches zero, taking the short-time limit of the propagator enables
the correlation dimension to be determined from the solution of a partial
differential equation. We develop the solution as a power series in a
dimensionless parameter which represents the strength of inertial effects.

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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph