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Exact solutions of dispersion equation for MHD waves with short-wavelength modification 被引量:4

Exact solutions of dispersion equation for MHD waves with short-wavelength modification
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摘要 Dispersive magnetohydrodynamic (MHD) waves with short-wavelength modification have an important role in transforming energy from waves into particles.In this paper,based on the two-fluid mode,a dispersion equation,including the short-wavelength effect,and its exact solution are presented.The outcome is responsible for the short-wavelength modification versions of the three ideal MHD modes (i.e.the fast,slow and Alfve'n).The results show that the fast and Alfve'n modes are modified considerably by the shortwavelength effect mainly in the quasi-parallel and quasi-perpendicular propagation directions,respectively,while the slow mode can be affected by the short-wavelength effect in all propagation directions.On the other hand,the dispersive modification occurs primarily in the finite-β regime of 0.001 < β < 1 for the fast mode and in the high-β regime of 0.1 < β < 10 for the slow mode.For the Alfve'n mode,the dispersive modification occurs from the low-β regime of β < 0.001 through the high-β regime of β > 1. Dispersive magnetohydrodynamic (MHD) waves with short-wavelength modification have an important role in transforming energy from waves into particles. In this paper, based on the two-fluid mode, a dispersion equation, including the short-wavelength effect, and its exact solution are presented. The outcome is responsible for the short-wavelength modification versions of the three ideal MHD modes (i.e. the fast, slow and Alfven). The results show that the fast and Alfven modes are modified considerably by the shortwavelength effect mainly in the quasi-parallel and quasi-perpendicular propagation directions, respectively, while the slow mode can be affected by the short-wavelength effect in all propagation directions. On the other hand, the dispersive modification occurs primarily in the finite-β regime of 0.001 〈 β 〈 1 for the fast mode and in the high-β regime of 0.1 〈 β 〈 10 for the slow mode. For the Alfven mode, the dispersive modification occurs from the low-β regime ofβ〈 0.001 through the high-β regime of β〉 1.
出处 《Chinese Science Bulletin》 SCIE EI CAS 2011年第10期955-961,共7页
基金 supported by the National Natural Science Foundation of China(10973043,41074107) National Basic Research Program of China(2011CB811402)
关键词 色散方程 短波长 修改 精确解 D波 传播方向 流体模式 MHD plasma, MHD waves, short-wavelength effect, dispersion relation
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