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Phys. Rev. Lett. 77, 4342–4345 (1996)

Small-Scale-Field Dynamo

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A. Gruzinov1, S. Cowley1,2, and R. Sudan1,3
1Institute for Advanced Study, School of Natural Sciences, Princeton, New Jersey 08540
2Department of Physics, University of California, Los Angeles, 405 Hilgard Avenue, Los Angeles, California 90024-1547
3Laboratory of Plasma Studies, Cornell University, Ithaca, New York 14853-7501

Received 8 July 1996; published in the issue dated 18 November 1996

Generation of magnetic field energy, without mean field generation, is studied. Isotropic mirror-symmetric turbulence of a conducting fluid amplifies the energy of small-scale magnetic perturbations if the magnetic Reynolds number is high, and the dimensionality of space d satisfies 2.103<d<8.765. The result does not depend on the model of turbulence, incompressibility, and isotropy being the only requirements.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.77.4342
DOI:
10.1103/PhysRevLett.77.4342
PACS:
47.65.+a, 47.27.-i, 91.25.Cw, 98.62.En