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| 研究生： |
張竣凱 Chun-Kai Chang |
|---|---|
| 論文名稱： |
磁鏡不穩定性之磁流體與混合粒子碼模擬研究 A study of mirror instability in fluid and particle simulations |
| 指導教授： |
郝玲妮
Lin-Ni Hau |
| 口試委員: | |
| 學位類別： |
碩士 Master |
| 系所名稱： |
地球科學學院 - 太空科學研究所 Graduate Institute of Space Science |
| 論文出版年： | 2016 |
| 畢業學年度： | 104 |
| 語文別： | 中文 |
| 論文頁數： | 90 |
| 中文關鍵詞： | 磁鏡不穩定性 、電漿 、太空物理 、磁流體力學 |
| 外文關鍵詞： | mirror instability, plasma, space physics, magnetohydrodynamic |
| 相關次數： | 點閱：20 下載：0 |
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無碰撞的電漿在磁場中，壓力會呈現非均向性的情況。當垂直磁場方向的壓力（p⟂）大於沿磁場的壓力（p‖）時，會產生磁鏡不穩定性。依電漿微觀動力學理論，其發生條件為 β‖<β⟂^2/(1+β⟂)。在 double-polytropic 磁流體模式中， 其不穩定發生條件為 𝛾‖β‖<β⟂2^2/(2+𝛾⟂β⟂)，當 𝛾⟂=2、𝛾‖=0.5 時，與微觀動力理論相同。本論文探討在不同的電漿模式下，包括磁流體數值模式、霍爾磁流體數值模式、以及混合粒子碼，磁鏡不穩定性的發展以及差異。利用三種不同尺度的數值模式分析電漿於空間中的分佈，磁場隨時間的改變，以及壓力隨時間的變化。同時，於不同的熱力狀態下，分析其對於磁鏡不穩定性發展的差異。另外，在混合粒子模式中，探討帶電粒子之運動。
Mirror instability may occur in magnetized and collisionless plasmas when the perpendicular pressure with respect to the magnetic field is greater than the parallel pressure. The mirror instability criterion is β‖<β⟂^2/(1+β⟂) in the kinetic theory. While in the double-ploytropic magnetohydrodynamic (MHD) model, for 𝛾⟂=2, 𝛾‖=0.5 the instability criterion 𝛾‖β‖<β⟂^2/(2+𝛾⟂β⟂) is coincident with the kinetic theory. In this study we use three different simulation models, MHD, Hall MHD, and hybrid particle models, to investigate the nonlinear evolution of mirror instability. We analyze the distribution of plasma and magnetic field as well as thermal pressure in time. The mirror instability under different thermodynamic conditions is also examined. In the hybrid particle simulations we further examine the motion of charged particles.
Burlaga, L. F., Ness, N. F., and Acuna, M. H., Linear magnetic holes in a unipolar region of the heliosheath observed by Voyager 1, Journal of Geophysical Research, 112(A07106), 2007.
Chew, G. F., Goldberger, M. L., and Low, F. E., The Boltzmann Equation and the One-Fluid Hydromagnetic Equations in the Absence of Particle Collisions, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 236(1204), 112-118, 1956.
Hasegawa, A., Drift Mirror Instability in the Magnetosphere, Physics of Fluids, 12(12), 2642, 1969.
Hau, L. N., Phan, T.-D., Sonnerup, B. U. Ö., and Paschmann, G., Double-polytropic closure in the magnetosheath, Geophysical Research Letters, 20(20), 2255-2258, 1993.
Hau, L. N., and Sonnerup, B. U. Ö., On slow-mode waves in an aniostropic plasma, Geophysical Research Letters, 20(17), 1763-1766, 1993.
Hau, L. N., Wang, B. J., and Teh, W. L., Slow mode waves and mirror instability in gyrotropic Hall magnetohydrodynamic model, Physics of Plasmas, 12(12), 122904, 2005.
Joy, S. P., Kivelson, M. G., Walker, R. J., Khurana, K. K., Russell, C. T., and Paterson, W. R. (2006), Mirror mode structures in the Jovian magnetosheath, Journal of Geophysical Research, 111(A12212), 2006.
Matthews, A. P., Current advance method and cyclic leapfrog for 2D multispecies hybrid plasma simulations, Journal of Computational Physics, 112, 112-116, 1994.
Rae, I. J., Mann, I. R., Watt, C. E. J., Kistler, L. M., and Baumjohann, W., Equator-S observations of drfit mirror mode waves in the dawnside magnetosphere, Journal of Geophysical Research, 112(A11203), 2007.
Tsurutani, B. T., Smith, E. J., Anderson, R. R., Ogilvie, K. W., Scudder, J. D., Baker, D. N., and Bame, S. J., Lion roars and nonoscillatory drift mirror waves in the magnetosheath, Journal of Geophysical Research, 87(A8), 6060-6072, 1982.
Wang, B. J., and Hau, L. N., MHD aspects of fire-hose type instabilities, Journal of Geophysical Research-Space Physics, 108(A12), 2003.
Winterhalter, D., Neugebauer, M., Goldstein, B. E., and Smith, E. J. (1994), Ulysses field and plasma observations of magnetic holes in the solar wind and their relation to mirror-mode structures, Journal of Geophysical Research, 99(A12), 1994.
王伯洲, 救火管不穩定性之磁流體力學理論, 國立中央大學太空科學研究所, 博士論文, 2005.
