Numerical demonstration of fluctuation dynamo at low magnetic Prandtl numbers

Details Numerical demonstration of fluctuation dynamo at low magnetic Prandtl numbers Numerical demonstration of fluctuation dynamo at low magnetic Prandtl numbers

2007-02-11

arxiv.org/abs/astro-ph/0702291v2

Phys.Rev.Lett.98:208501,2007

Astronomy and Astrophysics

Astrophysics

revtex, 4 pages, 4 figures; final published version: minor edits, slightly improved numerical results

Scientific paper

10.1103/PhysRevLett.98.208501

Direct numerical simulations of incompressible nonhelical randomly forced MHD turbulence are used to demonstrate for the first time that the fluctuation dynamo exists in the limit of large magnetic Reynolds number Rm>>1 and small magnetic Prandtl number Pm<<1. The dependence of the critical Rm_c for dynamo on the hydrodynamic Reynolds number Re is obtained for 16000 compared to Rm_c~60 for Pm>=1. Is is not as yet possible to determine numerically whether the growth rate of the magnetic energy is ~Rm^{1/2} in the limit Rm->infinity, as it should if the dynamo is driven by the inertial-range motions at the resistive scale.

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