dorsal/arxiv
View SchemaWhistleron Gas in Magnetized Plasmas
| Authors | Salvatore De Martino, Mariarosaria Falanga, Stephan I. Tzenov |
|---|---|
| Categories | |
| ArXiv ID | physics/0412047 |
| URL | https://arxiv.org/abs/physics/0412047 |
| DOI | 10.1063/1.1931678 |
| Journal | Phys. Plasmas 12, 072308 (2005) (7 pages) |
Abstract
We have studied the nonlinear dynamics of whistler waves in magnetized plasmas. Since plasmas and beam-plasma systems considered here are assumed to be weakly collisional, the point of reference for the analysis performed in the present paper is the system of hydrodynamic and field equations. We have applied the renormalization group method to obtain dynamical equations for the slowly varying amplitudes of whistler waves. Further, it has been shown that the amplitudes of eigenmodes satisfy an infinite system of coupled nonlinear Schr\"{o}dinger equations. In this sense, the whistler eigenmodes form a sort of a gas of interacting quasiparticles, while the slowly varying amplitudes can be considered as dynamical variables heralding the relevant information about the system. An important feature of our description is that whistler waves do not perturb the initial uniform density of plasma electrons. The plasma response to the induced whistler waves consists in velocity redistribution which follows exactly the behaviour of the whistlers. In addition, selection rules governing the nonlinear mode coupling have been derived, which represent another interesting peculiarity of our description.
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"abstract": "We have studied the nonlinear dynamics of whistler waves in magnetized\nplasmas. Since plasmas and beam-plasma systems considered here are assumed to\nbe weakly collisional, the point of reference for the analysis performed in the\npresent paper is the system of hydrodynamic and field equations. We have\napplied the renormalization group method to obtain dynamical equations for the\nslowly varying amplitudes of whistler waves. Further, it has been shown that\nthe amplitudes of eigenmodes satisfy an infinite system of coupled nonlinear\nSchr\\\"{o}dinger equations. In this sense, the whistler eigenmodes form a sort\nof a gas of interacting quasiparticles, while the slowly varying amplitudes can\nbe considered as dynamical variables heralding the relevant information about\nthe system. An important feature of our description is that whistler waves do\nnot perturb the initial uniform density of plasma electrons. The plasma\nresponse to the induced whistler waves consists in velocity redistribution\nwhich follows exactly the behaviour of the whistlers. In addition, selection\nrules governing the nonlinear mode coupling have been derived, which represent\nanother interesting peculiarity of our description.",
"arxiv_id": "physics/0412047",
"authors": [
"Salvatore De Martino",
"Mariarosaria Falanga",
"Stephan I. Tzenov"
],
"categories": [
"physics.plasm-ph",
"nlin.PS",
"physics.space-ph"
],
"doi": "10.1063/1.1931678",
"journal_ref": "Phys. Plasmas 12, 072308 (2005) (7 pages)",
"title": "Whistleron Gas in Magnetized Plasmas",
"url": "https://arxiv.org/abs/physics/0412047"
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