dorsal/arxiv
View SchemaA non local shell model of turbulent dynamo
| Authors | F. Plunian, R. Stepanov |
|---|---|
| Categories | |
| ArXiv ID | physics/0701141 |
| URL | https://arxiv.org/abs/physics/0701141 |
Abstract
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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"date_created": "2026-03-02T18:01:18.025000Z",
"date_modified": "2026-03-02T18:01:18.025000Z",
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"abstract": "We derive a new shell model of magnetohydrodynamic (MHD) turbulence in which\nthe energy transfers are not necessary local. Like the original MHD equations,\nthe model conserves the total energy, magnetic helicity, cross-helicity and\nvolume in phase space (Liouville\u0027s theorem) apart from the effects of external\nforcing, viscous dissipation and magnetic diffusion. In the absence of magnetic\nfield the model exhibits a statistically stationary kinetic energy solution\nwith a Kolmogorov spectrum. The dynamo action from a seed magnetic field by the\nturbulent flow and the non linear interactions are studied for a wide range of\nmagnetic Prandtl numbers in both kinematic and dynamic cases. The non locality\nof the energy transfers are clearly identified.",
"arxiv_id": "physics/0701141",
"authors": [
"F. Plunian",
"R. Stepanov"
],
"categories": [
"physics.flu-dyn",
"physics.plasm-ph"
],
"title": "A non local shell model of turbulent dynamo",
"url": "https://arxiv.org/abs/physics/0701141"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "031fde97-0b44-4f94-aefd-daa5ad7d1925",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
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