On linear stability of steady space-periodic magnetohydrodynamic systems to perturbations involving large periods

Details On linear stability of steady space-periodic magnetohydrodynamic systems to perturbations involving large periods On linear stability of steady space-periodic magnetohydrodynamic systems to perturbations involving large periods

2005-12-30

arxiv.org/abs/nlin/0512076v1

Zheligovsky V.A. On the linear stability of steady space-periodicmagnetohydrodynamic systems to large-scale perturbations. F

Nonlinear Sciences

Chaotic Dynamics

16 pp., 1 Figure. In Russian

Scientific paper

I construct a complete asymptotic expansion of solutions to the problem of linear stability of three-dimensional steady space-periodic magnetohydrodynamic states to perturbations involving large periods. Eddy diffusivity tensor is derived for parity-invariant steady states. I present numerical evidences that if perturbations of the flow are permitted, then the effect of negative eddy diffusivity emerges at much larger magnetic molecular diffusivities than in the kinematic dynamo problem (where no perturbations of the flow are assumed).

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