Theoretical Studies on Drift Wave Instability in Fluid Model

发布时间：2020-12-31 01:08

　　本文利用双流体(分离的电子离子方程)和扩展磁流体(质心单流体方程)模型表象,从理论上研究了非均匀等离子体中的漂移波和不稳定性。对于高温(聚变或空间)和低温(量子)等离子体,双流体效应和有限拉莫尔半径效应可以改变宏观现象的波传播、不稳定性增长率和弛豫物理。我们通常采用双流体和扩展磁流体两种方法来研究同时包括宏观和微观物理的等离子体动力学。在双流体模型中,流体分离的主要效应保留在电子引起的抗磁漂移和离子引起的极化漂移中;而在扩展磁流体模型中,这些效应在主导量级上是由广义欧姆定律和回旋粘滞应力张量所提供的。首先,本文推导了非均匀磁化等离子体中电子热分布和非热分布的电阻漂移模局部色散失系。其中,耦合的模方程是利用具有电子热分布和非热分布(Cairns和kappa分布)的双流体等离子体模型得到的。研究发现,增加Cairns分布的T值(用于估计处于非热分布的电子数量)可以稳定电阻漂移模。进而,增加kappa分布的k值(即谱指数)对模式有去稳作用。其次,利用扩展磁流体模型分析了回旋粘滞效应对线性电磁电阻漂移波不稳定性的影响,在冷离子区恢复了传统的电阻漂移Alfven模式。第三,考虑电子的交换和关联效... 

【文章来源】：中国科学技术大学安徽省 211工程院校 985工程院校

【文章页数】：123 页

【学位级别】：博士

【文章目录】：
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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