非麦氏分布等离子体色散关系的研究

发布时间：2018-03-08 05:11

本文选题：色散关系　切入点：相对论性等离子体　出处：《南昌大学》2011年硕士论文　论文类型：学位论文

【摘要】：等离子体中波的色散关系给出了集体扰动频率ω和波矢k之间的关系。利用色散关系,不但可以研究波的不稳定性问题,还可以研究波的传播和衰减问题。色散关系的性质不仅依赖于物理参数(如,密度、温度、磁场等)而且与等离子体中粒子的分布函数密切相关。因此,研究等离子体中波的色散关系有着重要意义。本论文中我们研究了相对论性非麦氏分布等离子体的色散关系。主要有两个部分：首先,从等离子体动力论出发,分别研究了各向同性的相对论性快电子分布等离子体中纵波和横波的色散关系。得到了长波和短波近似下色散关系的解析表达式。利用数值计算,得到了完整的色散曲线。解析色散曲线与数值色散曲线在长波支和短波支吻合的很好。此外,利用多项式回归的方法对数值结果进行拟合,得到不同参数下色散关系的近似表达式。这种相对论性快电子分布等离子体的色散关系能为解释星系核、射电星系和类星体电磁辐射方面的问题提供理论参考。其次,本文研究了修正的kappa分布等离子体横振荡的色散关系。通过解析研究,得到了色散关系的近似表达式。研究表明：解析色散曲线不但依赖于等离子体的温度,而且与幂律指数有关。同样,利用数值计算,得到了完整的色散曲线。进一步讨论了温度和幂律指数对修正的等离子体频率的影响。所得结果对研究太阳风中电子的加速和电磁辐射问题具有一定的理论价值。
[Abstract]:The relation between the collective perturbation frequency 蠅 and the wave vector k is given by the dispersion relation of waves in plasma. By using the dispersion relation, not only the instability of waves can be studied. The properties of dispersion relation are not only dependent on physical parameters (such as density, temperature, magnetic field, etc.), but also closely related to the distribution function of particles in plasma. It is of great significance to study the dispersion relationship of waves in plasma. In this thesis, we study the dispersion relationship of relativistic non-Mackney distribution plasmas. There are two main parts:. First of all, based on plasma dynamics, The dispersion relation of longitudinal wave and shear wave in an isotropic relativistic fast electron distribution plasma is studied respectively. The analytical expressions of the dispersion relation in the long wave and short wave approximation are obtained. A complete dispersion curve is obtained. The analytical dispersion curve agrees well with the numerical dispersion curve in the long wave branch and the short wave branch. In addition, the polynomial regression method is used to fit the numerical results. The dispersion relation of the relativistic fast electron distributed plasma can provide a theoretical reference for explaining the problems of electromagnetic radiation in galactic nuclei radio galaxies and quasars. Secondly, the dispersion relation of the modified kappa plasma transverse oscillation is studied. The approximate expression of the dispersion relation is obtained by analytical study. The analytical dispersion curve depends not only on the temperature of the plasma, but also on the temperature of the plasma. And it's related to the exponent of the power law. Again, using numerical calculations, The effects of temperature and power law exponent on the frequency of the modified plasma are discussed. The results are of theoretical value for the study of the acceleration of electrons and electromagnetic radiation in the solar wind.
【学位授予单位】：南昌大学
【学位级别】：硕士
【学位授予年份】：2011
【分类号】：P14

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