Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scaling behavior in a stochastic self-gravitating system   A system of stochastic differential equations for the velocity and density of
a classical self-gravitating matter is investigated by means of the field
theoretic renormalization group. The existence of two types of large-scale
scaling behavior, associated to physically admissible fixed points of the
renormalization-group equations, is established. Their regions of stability are
identified and the corresponding scaling dimensions are calculated in the
one-loop approximation (first order of the epsilon expansion). The velocity and
density fields have independent scaling dimensions. Our analysis supports the
importance of the rotational (nonpotential) components of the velocity field in
the formation of those scaling laws.

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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph