dorsal/arxiv
View SchemaFluid Models for Kinetic Effects on Coherent Nonlinear Alfven Waves. I. Fundamental Theory
| Authors | M. V. Medvedev, P. H. Diamond |
|---|---|
| Categories | |
| ArXiv ID | physics/9612017 |
| URL | https://arxiv.org/abs/physics/9612017 |
| DOI | 10.1063/1.871790 |
| Journal | Phys. Plasmas, v.3, p.863 (1996) |
Abstract
Collisionless regime kinetic models for coherent nonlinear Alfven wave dynamics are studied using fluid moment equations with an approximate closure anzatz. Resonant particle effects are modelled by incorporating an additional term representing dissipation akin to parallel heat conduction. Unlike collisional dissipation, parallel heat conduction is presented by an integral operator. The modified derivative nonlinear Schrodinger equation thus has a spatially nonlocal nonlinear term describing the long-time evolution of the envelope of parallel-propagating Alfven waves, as well. Coefficients in the nonlinear terms are free of the 1/(1-beta) singularity usually encountered in previous analyses, and have very a simple form which clarifies the physical processes governing the large amplitude Alfvenic nonlinear dynamics. The nonlinearity appears via coupling of an Alfvenic mode to a kinetic ion-acoustic mode. Damping of the nonlinear Alfven wave appears via strong Landau damping of the ion-acoustic wave when the electron-to-ion temperature ratio is close to unity. For a (slightly) obliquely propagating wave, there are finite Larmor radius corrections in the dynamical equation. This effect depends on the angle of wave propagation relative to B_0 and vanishes for the limit of strictly parallel propagation. Explicit magnetic perturbation envelope equations amenable to further analysis and numerical solution are obtained. Implications of these models for collisionless shock dynamics are discussed.
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"abstract": "Collisionless regime kinetic models for coherent nonlinear Alfven wave\ndynamics are studied using fluid moment equations with an approximate closure\nanzatz. Resonant particle effects are modelled by incorporating an additional\nterm representing dissipation akin to parallel heat conduction. Unlike\ncollisional dissipation, parallel heat conduction is presented by an integral\noperator. The modified derivative nonlinear Schrodinger equation thus has a\nspatially nonlocal nonlinear term describing the long-time evolution of the\nenvelope of parallel-propagating Alfven waves, as well. Coefficients in the\nnonlinear terms are free of the 1/(1-beta) singularity usually encountered in\nprevious analyses, and have very a simple form which clarifies the physical\nprocesses governing the large amplitude Alfvenic nonlinear dynamics. The\nnonlinearity appears via coupling of an Alfvenic mode to a kinetic ion-acoustic\nmode. Damping of the nonlinear Alfven wave appears via strong Landau damping of\nthe ion-acoustic wave when the electron-to-ion temperature ratio is close to\nunity. For a (slightly) obliquely propagating wave, there are finite Larmor\nradius corrections in the dynamical equation. This effect depends on the angle\nof wave propagation relative to B_0 and vanishes for the limit of strictly\nparallel propagation. Explicit magnetic perturbation envelope equations\namenable to further analysis and numerical solution are obtained. Implications\nof these models for collisionless shock dynamics are discussed.",
"arxiv_id": "physics/9612017",
"authors": [
"M. V. Medvedev",
"P. H. Diamond"
],
"categories": [
"physics.plasm-ph",
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"physics.space-ph"
],
"doi": "10.1063/1.871790",
"journal_ref": "Phys. Plasmas, v.3, p.863 (1996)",
"title": "Fluid Models for Kinetic Effects on Coherent Nonlinear Alfven Waves. I. Fundamental Theory",
"url": "https://arxiv.org/abs/physics/9612017"
},
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