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arxiv: 1811.00859 · v3 · pith:5Z5BYVZ4new · submitted 2018-10-26 · ⚛️ physics.flu-dyn · nlin.CD

Pointwise vanishing velocity helicity of a flow does not preclude magnetic field generation

classification ⚛️ physics.flu-dyn nlin.CD
keywords flowshelicitymagneticdensitypointwisesteadyvelocityzero
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Pointwise zero velocity helicity density is shown not to prevent steady flows from acting as kinematic dynamos. We present numerical evidences that such flows can generate both small-scale magnetic fields as well as, by the magnetic $\alpha$-effect or negative eddy diffusivity mechanisms, large-scale ones. The flows are constructed as curls of analytically defined space-periodic steady solenoidal flows, whose vorticity helicity (i.e., kinetic helicity) density is everywhere zero.

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