The integrands in the dispersion equation are not integrable in general , so we used the asymptotic expansion solution to analyze the behavior of the dispersion relation at the singularity and mapped the dispersion relation curves approximately the system composed of collisionless particles which obey maxwellian distribution or all kinds of degenerate distribution , even in their mixture system , their dispersion relation are analogous 一般來說,色散方程中的被積函數(shù)都是難以求積的,本文是用函數(shù)逼近法分析色散方程在奇點(diǎn)處的行為,并大致劃出色散關(guān)系曲線。由無碰撞粒子組成的系統(tǒng),不管初始分布是maxwell分布還是各種簡(jiǎn)并分布,甚至是這些分布的混合體,色散關(guān)系都是相似的。
In this paper , we focus on the following three topics : ( i ) density distribution of dusty plasma in the low - pressure collisionless positive column the radial density distributions of electron , ion and dust particle in the low - pressure collisionless positive column are investigated with a fluid theory and a self - consistent dust - charging model 本文著重以下三個(gè)方面的研究: ( )低氣壓無碰撞輝光放電正柱區(qū)塵埃等離子體密度徑向分布本文采用流體模型和自洽的塵埃充電模型,研究了低氣壓無碰撞輝光放電正柱區(qū)的電子密度、離子密度和塵埃粒子密度的徑向分布。
( iii ) dust charging and levitation in cathode sheath of glow discharges with energetic electron beam . the dust charging and levitation in a collisionless cathode sheath of dc glow discharges with energetic electron beams released from a plane cathode are investigated with a self - consistent theoretic model ( )塵埃粒子在極板有高能電子束發(fā)射輝光放電鞘層中的充電與懸浮采用自洽的鞘層模型和塵埃粒子充電模型,我們研究了在極板有高能電子束發(fā)射輝光放電鞘層中塵埃粒子的充電與懸浮。
First , we extended the liberman model of collisionless rf sheath . taking into account elastic collisions and charge - exchange collisions between ions and neutral particles , we established a self - consistent model describing the dynamics of rf sheath driven by a sinusoidal current source . the effects of collisions and rf - biased source power on the instantaneous thickness of the rf sheath and the sheath electric fields were studied 首先將liberman的無碰撞射頻鞘層模型進(jìn)行推廣,考慮了離子與中性粒子的電荷交換碰撞效應(yīng),建立了描述碰撞射頻等離子體鞘層動(dòng)力學(xué)特性的自洽模型,研究了碰撞效應(yīng),射頻偏壓,電源參數(shù)等對(duì)射頻鞘層的瞬時(shí)厚度及電場(chǎng)分布的影響。
We have summarized a set of theoretical approach to this problem and discussed the instability of the gas cloud and the systems composed of collisionless particles in the background of dark matter . linear perturbation theory is the method to solve this problem , in which , we add the perturbation into the equilibrium state and discussed its evolution 本文研究了自引力系統(tǒng)的穩(wěn)定性問題,總結(jié)了解決該問題的一套理論方法。并具體研究了存在暗物質(zhì)背景時(shí)氣體云和無碰撞粒子系統(tǒng)中擾動(dòng)的演化情況。解決穩(wěn)定性問題的方法用線性擾動(dòng)理論,即在平衡態(tài)中加入擾動(dòng),研究擾動(dòng)在系統(tǒng)中的演化情況。