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arXiv:astro-ph/0308369 (astro-ph)
[Submitted on 21 Aug 2003]

Title:Scaling behavior in a stochastic self-gravitating system

Authors:N. V. Antonov
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Abstract: 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.
Comments: 6 pages, REVTEX3 source, 1 PS figure
Subjects: Astrophysics (astro-ph); Chaotic Dynamics (nlin.CD)
Report number: SICS Technical Report T2003:09
Cite as: arXiv:astro-ph/0308369
  (or arXiv:astro-ph/0308369v1 for this version)
  https://doi.org/10.48550/arXiv.astro-ph/0308369
Journal reference: Phys.Rev.Lett.92:161101,2004
Related DOI: https://doi.org/10.1103/PhysRevLett.92.161101

Submission history

From: Nikolai Antonov [view email]
[v1] Thu, 21 Aug 2003 09:08:48 UTC (17 KB)
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