Mean-field dynamos in random Arnold-Beltrami-Childress and Roberts flows

Details Mean-field dynamos in random Arnold-Beltrami-Childress and Roberts flows Mean-field dynamos in random Arnold-Beltrami-Childress and Roberts flows

2008-11-19

arxiv.org/abs/0811.3123v2

Physical Review E 79, 046302 (2009)

Astronomy and Astrophysics

Astrophysics

7 pages, revised version to match published version

Scientific paper

10.1103/PhysRevE.79.046302

We study magnetic field evolution in flows with fluctuating in time governing parameters in electrically conducting fluid. We use a standard mean-field approach to derive equations for large-scale magnetic field for the fluctuating ABC-flow as well as for the fluctuating Roberts flow. The derived mean-field dynamo equations have growing solutions with growth rate of the large-scale magnetic field which is not controlled by molecular magnetic diffusivity. Our study confirms the Zeldovich idea that the nonstationarity of the fluid flow may remove the obstacle in large-scale dynamo action of classic stationary flows.

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