The exact renormalization group in Astrophysics

Details The exact renormalization group in Astrophysics The exact renormalization group in Astrophysics

2001-01-15

arxiv.org/abs/cond-mat/0101219v1

Int.J.Mod.Phys.A16:2041-2046,2001

Physics

Condensed Matter

Statistical Mechanics

World Scientific style, 6 pages, presented at the 2nd Conference on the Exact RG, Rome 2000

Scientific paper

10.1142/S0217751X01004670

The coarse-graining operation in hydrodynamics is equivalent to a change of scale which can be formalized as a renormalization group transformation. In particular, its application to the probability distribution of a self-gravitating fluid yields an "exact renormalization group equation" of Fokker-Planck type. Since the time evolution of that distribution can also be described by a Fokker-Planck equation, we propose a connection between both equations, that is, a connection between scale and time evolution. We finally remark on the essentially non-perturbative nature of astrophysical problems, which suggests that the exact renormalization group is the adequate tool for them.

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