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研究生： 陳永裕
Chen, Yung-Yu
論文名稱： 由百萬伏特能量的離子所驅動的相對論磁聲離子迴旋不穩定性之研究
Relativistic Magnetoacoustic Ion Cyclotron Instability Driven by MeV Ions
指導教授： 陳寬任
Chen, Kuan-Ren
學位類別： 碩士
Master
系所名稱： 理學院 - 物理學系
Department of Physics
論文出版年： 2003
畢業學年度： 91
語文別： 英文
論文頁數： 57
中文關鍵詞： 相對論磁聲離子
外文關鍵詞： Relativistic Magnetoacoustic Ion
相關次數： 點閱：60  下載：1 
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    • 　　The relativistic instability of the magnetoacoustic ion cyclotron waves driven by MeV ions is studied and compared with the corresponding classical instability. The magnetoacoustic waves can be unstable classically as driven by the fast ions due to the coupling of electromagnetic Alfven mode and the ion Bernstein mode. [ R. O. Dendy, C. N. Lashmore-Davies, and K. F. Kam Phys.Fluids B4 (4) Dec (1992)].

    　　Obtained from the kinetic theory, the relativistic dispersion relation that includes the instability driving terms of both classical and relativistic effects is studied analytically and numerically. The growth rate induced by the relativistic effects is significantly larger than that of the classical effects. It causes a cubic instability instead of the classical quadratic instability .

    　　There are three relativistic terms from the electrostatic component, the electromagnetic cmponent, and their coupling. The first two components have the same sign; that is, they enhance each other to drive the relativistic magnetoacoustic ion cyclotron instability. The sign of their coupling depends on the unstable wave number. The electrostatic component is the largest for typical plasma parameters.

    1 Introduction 2 2 Dispersion relation derived from kinetic theory 5 　2.1 Dielectric tensor 6 　2.2 Dispersion relation derived from kinetic theory 10 3 Instability Analysis 18 　3.1 Recovering the classical dispersion relation and instability 19 　3.2 Analysis of the relativistic magnetoacoustic cyclotron instability 20 4 Numerical　results 24 　4.1 Relativistic cubic instability for fast protons in deuterium plasmas 24 　　　4.1.1 Scaling with the fast ion density 28 　　　4.1.2 Scaling with the slow ion density 30 　　　4.1.3 Scaling with the fast ion energy 32 　　　4.1.4 Scaling with the magnetic field 34 　　　4.1.5 Scaling with the fast ion harmonic number 36 　4.2 Relativistic cubic instability for fast alphas in deuterium plasmas 38 　4.3 Comparsion with non-relativistic results 40 　　　4.3.1 Energy threshold for the non-relativstic instability 40 　　　4.3.2 The non-relivistic effect 41 5 Conclusion 46 A The formula list for the dielectric constants 47 B Derivation of the slow ion dielectric tensor contants 49 C Derivation of the dispersion relation 52

    1 K. R. Chen, " Role of Relativity in Dynamics of MeV Alpha
    Particles in Magnetized Plasmas", Annual Meeting of Physical Society Republic of China (2002)

    2 B. Coppi, S. Cowley and F. Kulsrud, Phys. Fluids 29, 4060 (1986)

    3 K. R. Chen, "Plasma Physics", Note of course: Plasma Physics Spring 2001.

    4 R. O. Dendy, C. N. Lashmore-Davies, and K. F. Kam, "A possible excitation mechanism for
    observed superthermal ion cyclotron emission from tokamak plasmas" Phys. Fluids B4 p3996 Dec (1992).

    5 K. R. Chen, "Theories of Relativistic Ion Cyclotron Instabilities", Phys. Plasmas 7, 844(2000)

    6 J.D. Huang, "Study of the relativistic electromagnetic ion cyclotron instabilities driven by MeV
    ions", Dissertation for Master Degree in Physics, ncku, 2002

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