發(fā)布時間：2020-12-31 01:08

　　本文利用雙流體(分離的電子離子方程)和擴展磁流體(質(zhì)心單流體方程)模型表象,從理論上研究了非均勻等離子體中的漂移波和不穩(wěn)定性。對于高溫(聚變或空間)和低溫(量子)等離子體,雙流體效應和有限拉莫爾半徑效應可以改變宏觀現(xiàn)象的波傳播、不穩(wěn)定性增長率和弛豫物理。我們通常采用雙流體和擴展磁流體兩種方法來研究同時包括宏觀和微觀物理的等離子體動力學。在雙流體模型中,流體分離的主要效應保留在電子引起的抗磁漂移和離子引起的極化漂移中;而在擴展磁流體模型中,這些效應在主導量級上是由廣義歐姆定律和回旋粘滯應力張量所提供的。首先,本文推導了非均勻磁化等離子體中電子熱分布和非熱分布的電阻漂移模局部色散失系。其中,耦合的模方程是利用具有電子熱分布和非熱分布(Cairns和kappa分布)的雙流體等離子體模型得到的。研究發(fā)現(xiàn),增加Cairns分布的T值(用于估計處于非熱分布的電子數(shù)量)可以穩(wěn)定電阻漂移模。進而,增加kappa分布的k值(即譜指數(shù))對模式有去穩(wěn)作用。其次,利用擴展磁流體模型分析了回旋粘滯效應對線性電磁電阻漂移波不穩(wěn)定性的影響,在冷離子區(qū)恢復了傳統(tǒng)的電阻漂移Alfven模式。第三,考慮電子的交換和關(guān)聯(lián)效... 

【文章來源】：中國科學技術(shù)大學安徽省 211工程院校 985工程院校

【文章頁數(shù)】：123 頁

【學位級別】：博士

【文章目錄】：
Acknowledgements
Objective and Motivation
List of Projects and Publications
Abstract
摘要
Chapter 1. Introduction
    1.1 Fundamental Concepts
        1.1.1 Characteristics of Plasma
        1.1.2 Wave and Instability in Plasmas
        1.1.3 Drift Waves
    1.2 High Temperature Plasma
    1.3 Low Temperature Plasma
    1.4 Distribution Functions
        1.4.1 Thermal Distribution
        1.4.2 Non-thermal Distribution
        1.4.3 Fermi-Dirac Distribution
        1.4.4 Bose-Einstein Distribution
    1.5 The Structure of the Dissertation
    1.6 Summary on Main New Contribution of this Dissertation
Chapter 2. Mathematical Models
    2.1 Introduction
    2.2 Two-fluid Plasma Model
    2.3 Extended MHD Model
    2.4 Quantum Magnetohydrodynamic Model
        2.4.1 Schrodinger-Poisson Methodology
        2.4.2 Wigner-Poisson Methodology
    2.5 Discussion
Chapter 3. Resistive Drift Mode:Thermal and Non-thermal Distribution
    3.1 Introduction
    3.2 Theory
    3.3 Results and discussion
        3.3.1 Resistive drift mode for Maxwellian distribution
        3.3.2 Resistive drift mode for Cairns distribution
        3.3.3 Resistive drift mode for kappa distribution
    3.4 Summary
Chapter 4. Electromagnetic Drift Wave Instability
    4.1 Introduction
    4.2 MHD Equilibrium
    4.3 Dispersion Relation of Viscous-Resistive DWI
    4.4 Numerical results and discussion
    4.5 Summary
Chapter 5. Quantum Drift Wave Analysis
    5.1 Introduction
    5.2 Mathematical model and dispersion relations
    5.3 Results and discussion
    5.4 Summary
Chapter 6. On Equivalence between two-fluid and extended MHD
    6.1 Introduction
    6.2 Governing equations
    6.3 Dispersion relation
    6.4 Results and discussion
    6.5 Summary
Chapter 7. Co-existence of Macro and Micro Mode
    7.1 Introduction
    7.2 Mathematical Model and MHD Equilibrium
    7.3 Generalized dispersion relation
    7.4 Results—Gravitational RDM
    7.5 Results—Resistive Interchange Mode
    7.6 Discussion—transitioning between RDM and RIM
    7.7 Two-fluid MHD—Applicability Regimes
    7.8 Summary
Chapter 8. Conclusions and Future Recommendations
Appendices
    Appendix A: Analytical calculations for two-fluid plasma theory
    Appendix B: Analytical calculations for Extended MHD theory
    Appendix C: Linearization of Generalized Ohm's Law
    Appendix D: Linearization of Extended MHD model
    Appendix E: Analytical treatment of Generalized Ohm's law
    Appendix F: Vita of the Author
Bibliography



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