Long-time behavior of MHD shell models

Details Long-time behavior of MHD shell models Long-time behavior of MHD shell models

2000-09-29

arxiv.org/abs/nlin/0009053v1

Nonlinear Sciences

Chaotic Dynamics

6 pages with 5 figures. In press on Europhysics Letters

Scientific paper

10.1209/epl/i2000-00109-0

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 alternates 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 geomagnetic dynamo problem is discussed.

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