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Effect of loss-cone distribution on the generation of whistler waves in the magnetosphere |
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| Institution: | 1. Industrial and Financial Mathematics Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesha 10, Bandung 40132, Indonesia;2. Universitée Paris-Est, LAMA UMR8050, F-77454, Marne-la-Vallée, France;1. Centre National de la Recherche Scientifique, LPP UMR 7648, Ecole Polytechnique - Université Pierre et Marie Curie Paris VI - Observatoire de Paris, Route de Saclay Palaiseau 91128, France;2. Université d’Orléans, Observatoire des Sciences de l’Univers en région Centre, UMS 3116, Centre Nationale de la Recherche Scientifique, LPC2E UMR 7328, 3A Av. de la Recherche Scientifique, Orléans 45071, France;3. Uppsala Universitet, Institutet för Rymdfysik, Ångströmlaboratoriet, Lägerhyddsvägen 1, Låda 537, Uppsala 751 21, Sverige |
| Abstract: | An anisotropic kappa velocity distribution with loss-cones is used to investigate whistler wave instability occurring in the magnetosphere. The elements of the dielectric tensor and dispersion relation using modified plasma dispersion function with loss-cone angle have been obtained for the linear waves propagating exactly parallel to a uniform local magnetic field in a homogeneous and hot plasma. The modified plasma dispersion function and integrals have been expressed in power-series form for argument of ξ?1. Temporal/spatial growth rates for whistler wave in the magnetosphere have been evaluated by the method of numerical techniques. The results of such a kappa loss-cone distribution function on the generation of whistler waves are compared with those obtained by Maxwellian loss-cone distribution. Calculations show that either a loss-cone or a thermal anisotropy in the hot plasma component of the magnetosphere can lead to the generation of incoherent emission of low-frequency whistler waves. This methodology could be easily extended to the study of low frequency emissions from planetary magnetospheres under suitable choice of models of density and magnetic field and other plasma parameters. |
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