Alpha-effect dynamos with zero kinetic helicity

Details Alpha-effect dynamos with zero kinetic helicity Alpha-effect dynamos with zero kinetic helicity

2008-01-03

arxiv.org/abs/0801.0602v1

Phys.Rev.E77:026405,2008

Astronomy and Astrophysics

Astrophysics

6 pages, 3 figures, accepted for PRE

Scientific paper

10.1103/PhysRevE.77.026405

A simple explicit example of a Roberts-type dynamo is given in which the alpha-effect of mean-field electrodynamics exists in spite of point-wise vanishing kinetic helicity of the fluid flow. In this way it is shown that alpha-effect dynamos do not necessarily require non-zero kinetic helicity. A mean-field theory of Roberts-type dynamos is established within the framework of the second-order correlation approximation. In addition numerical solutions of the original dynamo equations are given, that are independent of any approximation of that kind. Both theory and numerical results demonstrate the possibility of dynamo action in the absence of kinetic helicity.

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