A non local shell model of turbulent dynamo
We derive a new shell model of magnetohydrodynamic (MHD) turbulence in which the energy transfers are not necessary local. Like the original MHD equations, the model conserves the total energy, magnetic helicity, cross-helicity and volume in phase space (Liouville's theorem) apart from the effe...
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| Main Authors: | , |
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| Format: | Journal Article |
| Language: | English |
| Published: |
11-01-2007
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| Subjects: | |
| Online Access: | Get full text |
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| Summary: | We derive a new shell model of magnetohydrodynamic (MHD) turbulence in which
the energy transfers are not necessary local. Like the original MHD equations,
the model conserves the total energy, magnetic helicity, cross-helicity and
volume in phase space (Liouville's theorem) apart from the effects of external
forcing, viscous dissipation and magnetic diffusion. In the absence of magnetic
field the model exhibits a statistically stationary kinetic energy solution
with a Kolmogorov spectrum. The dynamo action from a seed magnetic field by the
turbulent flow and the non linear interactions are studied for a wide range of
magnetic Prandtl numbers in both kinematic and dynamic cases. The non locality
of the energy transfers are clearly identified. |
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| DOI: | 10.48550/arxiv.physics/0701141 |