Volume 52, Number 5, December I 2000
|Page(s)||539 - 544|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|Published online||01 September 2002|
Long-time behavior of MHD shell models
Institute of Continuous Media Mechanics -
Korolyov 1, 614061 Perm, Russia
2 Dipartimento di Fisica Generale and INFM, Università di Torino Via P. Giuria 1, 10125 Torino, Italy
3 Dipartimento di Fisica, Università della Calabria - 87036 Rende (Cs), Italy
Accepted: 26 September 2000
The long-time behavior of velocity-magnetic field alignment is numerically investigated in the framework of MHD shell model. In the stationary forced case, the correlation parameter C displays a nontrivial behavior with long periods of high variability which alternate with periods of almost constant C. The temporal statistics of correlation is shown to be non-Poissonian, and the pdf of constant sign periods displays clear power law tails. The possible relevance of the model for the geomagnetic dynamo problem is discussed.
PACS: 47.27.Eq – Turbulence simulation and modeling / 47.65.+a – Magnetohydrodynamics and electrohydrodynamics
© EDP Sciences, 2000
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