dorsal/arxiv
View SchemaEnergy transfer in Hall-MHD turbulence: cascades, backscatter, and dynamo action
| Authors | P. D. Mininni, A. Alexakis, A. Pouquet |
|---|---|
| Categories | |
| ArXiv ID | physics/0510053 |
| URL | https://arxiv.org/abs/physics/0510053 |
| DOI | 10.1017/S0022377806004624 |
Abstract
Scale interactions in Hall MHD are studied using both the mean field theory derivation of transport coefficients, and direct numerical simulations in three space dimensions. In the magnetically dominated regime, the eddy resistivity is found to be negative definite, leading to large scale instabilities. A direct cascade of the total energy is observed, although as the amplitude of the Hall effect is increased, backscatter of magnetic energy to large scales is found, a feature not present in MHD flows. The coupling between the magnetic and velocity fields is different than in the MHD case, and backscatter of energy from small scale magnetic fields to large scale flows is also observed. For the magnetic helicity, a strong quenching of its transfer is found. We also discuss non-helical magnetically forced Hall-MHD simulations where growth of a large scale magnetic field is observed.
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"abstract": "Scale interactions in Hall MHD are studied using both the mean field theory\nderivation of transport coefficients, and direct numerical simulations in three\nspace dimensions. In the magnetically dominated regime, the eddy resistivity is\nfound to be negative definite, leading to large scale instabilities. A direct\ncascade of the total energy is observed, although as the amplitude of the Hall\neffect is increased, backscatter of magnetic energy to large scales is found, a\nfeature not present in MHD flows. The coupling between the magnetic and\nvelocity fields is different than in the MHD case, and backscatter of energy\nfrom small scale magnetic fields to large scale flows is also observed. For the\nmagnetic helicity, a strong quenching of its transfer is found. We also discuss\nnon-helical magnetically forced Hall-MHD simulations where growth of a large\nscale magnetic field is observed.",
"arxiv_id": "physics/0510053",
"authors": [
"P. D. Mininni",
"A. Alexakis",
"A. Pouquet"
],
"categories": [
"physics.plasm-ph",
"physics.space-ph"
],
"doi": "10.1017/S0022377806004624",
"title": "Energy transfer in Hall-MHD turbulence: cascades, backscatter, and dynamo action",
"url": "https://arxiv.org/abs/physics/0510053"
},
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