【摘要】：探索等離子體湍動(dòng)的誘發(fā)機(jī)制和描述等離子體的湍動(dòng)演化是等離子體物理的重要課題�；赯akharov模型,研究等離子體中湍動(dòng)物理現(xiàn)象,如太空中觀測(cè)到的朗繆爾振幅調(diào)制和激光等離子體中的孤立波等。研究表明,等離子體中多尺度耦合非線性相互作用極易誘發(fā)等離子體湍動(dòng),調(diào)制不穩(wěn)定性是誘發(fā)等離子體波不穩(wěn)定的重要因素,其中非線性調(diào)制坍塌是導(dǎo)致等離子體湍動(dòng)串級(jí)的重要機(jī)制之一。此外在天文觀測(cè)和實(shí)驗(yàn)室等離子體中觀察到的快電子爆發(fā)和耀斑現(xiàn)象,這些現(xiàn)象不能被現(xiàn)有的統(tǒng)計(jì)分布所描述。因此,本文基于天體和激光等離子體中的非平衡分布,研究其中波-波和波-粒非線性相互作用誘發(fā)的調(diào)制坍塌過(guò)程,獲得其中的物理演化圖像和特征量,將能為相關(guān)實(shí)驗(yàn)和觀測(cè)研究提供理論參考。首先,基于Kappa分布等離子體中的自生磁場(chǎng)控制方程,分析了Kappa分布等離子體中波-波和波-粒相互作用誘發(fā)的低頻非線性流。采用差分法研究準(zhǔn)靜態(tài)極限下的自生磁場(chǎng)的坍塌動(dòng)力學(xué)演化圖像以及分析了超熱電子對(duì)非線性湍動(dòng)問(wèn)題的影響。結(jié)果表明調(diào)制不穩(wěn)定性將導(dǎo)致低頻電磁包絡(luò)場(chǎng)坍塌,局部高漲的有質(zhì)動(dòng)力使得等離子體密度局部稀化,等離子體形成局域化非線性腔體結(jié)構(gòu);自生電磁包絡(luò)場(chǎng)演化成高度局域化的湍動(dòng)磁流;超熱指數(shù)會(huì)影響坍塌的特征時(shí)標(biāo),當(dāng)超熱指數(shù)很小的時(shí)候,即超熱粒子越多系統(tǒng)的自由能越大的時(shí)候,隨著超熱粒子的增多使得自生磁場(chǎng)坍塌加快,強(qiáng)度變強(qiáng),局域化越明顯。其次,基于流體理論,采用雙時(shí)標(biāo)的方法,從理論上導(dǎo)出了描述雙溫電子等離子體中朗繆爾波、電磁波和電聲波之間波-波非線性相互作用雙溫電子-Zakharov方程。通過(guò)采用數(shù)值差分法對(duì)該控制方程進(jìn)行了求解。結(jié)果表明朗繆爾波、電磁波和電聲波是調(diào)制不穩(wěn)定的,電磁場(chǎng)最終坍塌成高度局域化的非線性結(jié)構(gòu);同時(shí)朗繆爾波由小波數(shù)向大波數(shù)轉(zhuǎn)移,形成湍動(dòng)花樣;電聲波最終塌縮成腔子結(jié)構(gòu),由于其具有很高的能量及特征時(shí)標(biāo)與電子匹配,將能有效地加速電子。另一方面,采用差分方法數(shù)值研究了在廣義Zakharov方程系統(tǒng)中駐波形式解的演化規(guī)律。數(shù)值結(jié)果表明,電場(chǎng)波包在x方向的分量上呈現(xiàn)駐波振幅調(diào)制的演化規(guī)律,在y方向分量上呈現(xiàn)雙極子振蕩結(jié)構(gòu);最終它們都會(huì)經(jīng)歷非線性坍縮形成高度局域化的腔子結(jié)構(gòu)。此外,利用數(shù)值計(jì)算方法研究了廣義非線性薛定諤方程,即由廣義Zakharov方程退化的標(biāo)量形式方程,此方程一般是用來(lái)描述較低頻的離子聲波不穩(wěn)定性的,分析了其中波場(chǎng)的調(diào)制、自散焦不穩(wěn)定性以及湍流現(xiàn)象。結(jié)果表明,不管有沒(méi)有外加勢(shì)場(chǎng),在復(fù)數(shù)薛定諤方程系統(tǒng)情況下會(huì)發(fā)生自散焦不穩(wěn)定性;頻譜空間上都是由小波數(shù)向大波數(shù)轉(zhuǎn)移最后形成湍動(dòng);最終的系統(tǒng)總能量都趨于穩(wěn)定;在有外勢(shì)的情況下自散焦不穩(wěn)定性的增長(zhǎng)將會(huì)受到抑制,而無(wú)外勢(shì)的情況下,自散焦的不穩(wěn)定性增長(zhǎng)率明顯較大。
[Abstract]:Exploring the induced mechanism of plasma turbulence and describing the turbulent evolution of plasma is an important topic in plasma physics. Based on the Zakharov model, we study the turbulent physical phenomena in plasma, such as the Langmuir amplitude modulation in space and the solitary waves in the laser plasma. The nonlinear interaction is very easy to induce plasma turbulence, and the modulation instability is an important factor to induce the instability of plasma waves, in which the nonlinear modulation collapse is one of the important mechanisms leading to the cascade of plasma turbulence. In addition, the fast electron burst and flare observed in the astronomical observation and laboratory plasma are in addition to the phenomenon of the rapid electron burst and flare. Some phenomena can not be described by the existing statistical distribution. Therefore, based on the nonequilibrium distribution in the celestial and laser plasma, this paper studies the modulation collapse induced by wave wave and wave particle nonlinear interaction, and obtains the physical evolution images and characteristic quantities, and will be able to provide theoretical reference for the related experiments and observation research. Firstly, based on the control equation of the spontaneous magnetic field in the Kappa distributed plasma, the low-frequency nonlinear flow induced by wave wave and wave particle interaction in the Kappa distributed plasma is analyzed. The evolution image of the collapse dynamics of the autogenic magnetic field under quasi static limit is studied by the difference method and the shadow of the super thermal electron to the nonlinear turbulence problem is analyzed. The results show that the modulation instability will result in the collapse of the low frequency electromagnetic envelope field. The locally high mass force makes the plasma density partially dilute, the plasma formed localized nonlinear cavity structure, the spontaneous electromagnetic envelope field evolves into a highly localized turbulent magnetic flux, and the SUPERTHERMAL index will affect the characteristic time mark of the collapse, when the superheat is superheated. When the exponent is very small, the more free energy of the system is more hot, the more the free energy of the system increases. With the increase of the super hot particles, the autogenic magnetic field collapses faster, the intensity becomes stronger and the localization is more obvious. Secondly, based on the theory of fluid, the Langmuir wave, electromagnetic wave and electromagnetic wave in the dual temperature electron plasma are derived from the theory of double time scale. The two temperature electronic -Zakharov equation of wave wave wave non linear interaction between electric waves is solved by using numerical difference method. The result shows that the Muir wave, electromagnetic wave and electroacoustic wave are unstable, and the electromagnetic field collapses into a highly localized nonlinear structure. At the same time, the Langmuir wave is from the wavelet number to the large wave. There is a number transfer to form a turbulent pattern; the electroacoustic wave eventually collapses into a cavity structure. Because of its high energy and characteristic time, it can effectively accelerate the electron. On the other hand, the evolution law of the standing wave form solution in the generalized Zakharov equation system is numerically studied by the difference method. The numerical results show that the electric field wave is wrapped in X. The direction component presents the evolution law of the amplitude modulation of the standing wave, and presents the bipolar oscillating structure in the Y direction component. Finally, they all experience nonlinear collapse to form a highly localized cavity structure. In addition, the generalized nonlinear Schrodinger square, which is the scalar form degenerated by the generalized Zakharov equation, is studied by the numerical method. This equation is generally used to describe the instability of the relatively low frequency ion acoustic wave. The modulation, self defocusing instability and turbulence phenomena in the wave field are analyzed. The results show that the defocusing instability will occur in the complex Schrodinger equation system, regardless of the external potential field, and the spectrum space is all from the wavelet number to large. The wave number transfer finally forms the turbulence; the total energy of the final system tends to be stable; the growth of self defocus instability will be suppressed in the case of external potential, and the growth rate of self defocus is significantly higher without the external potential.
【學(xué)位授予單位】：南昌大學(xué)
【學(xué)位級(jí)別】：博士
【學(xué)位授予年份】：2017
【分類號(hào)】：O53

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