Magnetic fields and passive scalars in Polyakov's conformal turbulence
Dec 4, 199212 pages
Published in:
- EPL 22 (1993) 639
e-Print:
- hep-th/9212021 [hep-th]
Report number:
- UR-1296,
- ER-745-40685
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Abstract:
Polyakov has suggested that two dimensional turbulence might be described by a minimal model of conformal field theory. However, there are many minimal models satisfying the same physical inputs as Polyakov's solution (p,q)=(2,21). Dynamical magnetic fields and passive scalars pose different physical requirements. For large magnetic Reynolds number other minimal models arise. The simplest one, (p,q)=(2,13) makes reasonable predictions that may be tested in the astrophysical context. In particular, the equipartition theorem between magnetic and kinetic energies does not hold: the magnetic one dominates at larger distances.- field theory: conformal
- model: minimal
- magnetic field
- field theory: scalar
- model: turbulence
- dimension: 2
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