本文選題：色散關(guān)系　切入點(diǎn)：相對(duì)論性等離子體　出處：《南昌大學(xué)》2011年碩士論文　論文類型：學(xué)位論文

【摘要】：等離子體中波的色散關(guān)系給出了集體擾動(dòng)頻率ω和波矢k之間的關(guān)系。利用色散關(guān)系,不但可以研究波的不穩(wěn)定性問(wèn)題,還可以研究波的傳播和衰減問(wèn)題。色散關(guān)系的性質(zhì)不僅依賴于物理參數(shù)(如,密度、溫度、磁場(chǎng)等)而且與等離子體中粒子的分布函數(shù)密切相關(guān)。因此,研究等離子體中波的色散關(guān)系有著重要意義。本論文中我們研究了相對(duì)論性非麥?zhǔn)戏植嫉入x子體的色散關(guān)系。主要有兩個(gè)部分： 首先,從等離子體動(dòng)力論出發(fā),分別研究了各向同性的相對(duì)論性快電子分布等離子體中縱波和橫波的色散關(guān)系。得到了長(zhǎng)波和短波近似下色散關(guān)系的解析表達(dá)式。利用數(shù)值計(jì)算,得到了完整的色散曲線。解析色散曲線與數(shù)值色散曲線在長(zhǎng)波支和短波支吻合的很好。此外,利用多項(xiàng)式回歸的方法對(duì)數(shù)值結(jié)果進(jìn)行擬合,得到不同參數(shù)下色散關(guān)系的近似表達(dá)式。這種相對(duì)論性快電子分布等離子體的色散關(guān)系能為解釋星系核、射電星系和類星體電磁輻射方面的問(wèn)題提供理論參考。 其次,本文研究了修正的kappa分布等離子體橫振蕩的色散關(guān)系。通過(guò)解析研究,得到了色散關(guān)系的近似表達(dá)式。研究表明：解析色散曲線不但依賴于等離子體的溫度,而且與冪律指數(shù)有關(guān)。同樣,利用數(shù)值計(jì)算,得到了完整的色散曲線。進(jìn)一步討論了溫度和冪律指數(shù)對(duì)修正的等離子體頻率的影響。所得結(jié)果對(duì)研究太陽(yáng)風(fēng)中電子的加速和電磁輻射問(wèn)題具有一定的理論價(jià)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.
【學(xué)位授予單位】：南昌大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2011
【分類號(hào)】：P14

【參考文獻(xiàn)】

相關(guān)期刊論文 前3條

1 陳輝,陳約奇,劉三秋;相對(duì)論性縱“等離激元”色散關(guān)系[J];南昌大學(xué)學(xué)報(bào)(理科版);2005年05期

2 陳約奇;劉三秋;陳輝;周素云;姜衛(wèi)群;;在相對(duì)論性等離子體中橫振蕩色散關(guān)系的數(shù)值分析[J];南昌大學(xué)學(xué)報(bào)(理科版);2006年02期

3 陳輝;劉笑蘭;劉三秋;;相對(duì)論性縱等離激元朗道阻尼數(shù)值解[J];南昌大學(xué)學(xué)報(bào)(理科版);2006年03期

，

本文編號(hào)：1582522