内容简介
《等离子体物理学基础(第3版)(英文版)》系统地介绍了等离子体物理学的基本理论及其在很多重要等离子体现象中的应用。《等离子体物理学基础(第3版)(英文版)》内容全面,结构合理,阐述清晰。作者注重表达的简洁性,没有拘泥于形式,对自学和进阶很有好处。从统计动力学讨论等离子体现象是《等离子体物理学基础(第3版)(英文版)》的一大特色。另外,作者对数学处理技巧说明得非常详细,列举了数学推导的中间步骤,这些通常是留给读者自己完成的,同时强调了这些公式的物理解释,帮助读者获得更深入的理解。书中设计的习题是内容的重要组成部分,也是进一步提高的出发点。阅读《等离子体物理学基础(第3版)(英文版)》需要经典力学和电动力学的基本知识。
《等离子体物理学基础(第3版)(英文版)》适合于初次学习等离子体物理的高年级本科生和一年级研究生,同时也适用于对等离子体现象以及相关领域诸如空间物理和应用电磁学等感兴趣的研究人员。目次:简介;稳恒和均匀电磁场中的带电粒子运动;非均匀静磁场中的带电粒子运动;随时间变化的电磁场中的带电粒子运动;等离子体动力学理论基础;平均值和宏观变量;平衡态;宏观输运方程;导电流体的宏观方程;等离子体电导率和扩散;若干基本等离子体现象;磁流体动力学的简单应用;缩聚效应;自由空间电磁波;磁流体动力学波;冷等离子体波;暖等离子体波;热各向同性等离子体波;热磁化等离子体波;等离子体中粒子间相互作用;波尔兹曼和佛克尔—普朗克方程;等离子体中的输运过程;附录A:常用的矢量关系;附录B:迪卡尔坐标和曲线坐标中的常用关系;附录C:物理常数:附录D:物理单位间的换算因子;附录出部分重要的等离子体参数;附录F:若干典型等离子体的近似量极;索引。读者对象:物理,化学和材料专业的高年级本科生、研究生和相关专业的科研人员。
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目录
PREFACE
1.INTRODUCTION
1. General Properties of Plasmas
1.1 Definition of a Plasma
1.2 Plasma as the Fourth State of Matter
1.3 Plasma Production
1.4 Particle Interactions and Collective Effects
1.5 Some Basic Plasma Phenomena
2. Criteria for the Definition of a Plasma
2.1 Macroscopic Neutrality
2.2 Debye Shielding
2.3 The Plasma Frequency
3. The Occurrence of Plasmas in Nature
3.1 The Sun and its Atmosphere
3.2 The Solar Wind
3.3 The Magnetosphere and the Van Allen Radiation Belts
3.4 The Ionosphere
3.5 Plasmas Beyond the Solar System
4. Applications of Plasma Physics
4.1 Controlled Thermonuclear Fusion
4.2 The Magnetohydrodynamic Generator
4.3 Plasma Propulsion
4.4 Other Plasma Devices
5. Theoretical Description of Plasma Phenomena
5.1 General Considerations on a Self-Consistent Formulation
5.2 Theoretical Approaches
Problems
2.CHARGED PARTIE MOTION IN CONSTANT AND UNIFORM UNIFORM ELECTROMAGNETIC FIELDS
1. Introduction
2. Energy Conservation
3. Uniform Electrostatic Field
4. Uniform Magnetostatic Field
4.1 Formal Solution of the Equation of Motion
4.2 Solution in Cartesian Coordinates
4.3 Magnetic Moment
4.4 Magnetization Current
5. Uniform Electrostatic and Magnetostatic Fields
5.1 Formal Solution of the Equation of Motion
5.2 Solution in Cartesian Coordinates
6. Drift Due to an External Force
Problems
3.CHARGED PARTICLE MOTION IN NONUNIFORM MAGNETOSTATIA FIELDS
1. Introduction
2. Spatial Variation of the Magnetic Field
2.1 Divergence Terms
2.2 Gradient and Curvature Terms
2.3 Shear Terms
3. Equation of Motion in the First-Order Approximation
4. Average Force Over One Gyration Period
4.1 Parallel Force
4.2 Perpendicular Force
4.3 Total Average Force
5. Gradient Drift
6. Parallel Acceleration of the Guiding Center
6.1 Invariance of the Orbital Magnetic Moment and of the Magnetic Flux
6.2 Magnetic Mirror Effect
6.3 The Longitudinal Adiabatic Invariant
7. Curvature Drift
8. Combined Gradient-Curvature Drift
Problems
4.CHARGED PARTICLE MOTION IN TIME-VARYING ELECTROMAGNETIC FIELDS
1. Introduction
2. Slowly Time-Varying Electric Field
2.1 Equation of Motion and Polarization Drift
2.2 Plasma Dielectric Constant
3. Electric Field with Arbitrary Time Variation
3.1 Solution of the Equation of Motion
3.2 Physical Interpretation
3.3 Mobility Dyad
3.4 Plasma Conductivity Dyad
3.5 Cyclotron Resonance
4. Time-Varying Magnetic Field and Space-Varying Electric Field
4.1 Equation of Motion and Adiabatic Invariants
4.2 Magnetic Heating of a Plasma
5. Summary of Guiding Center Drifts and Current Densities
5.1 Guiding Center Drifts
5.2 Current Densities
Problems
5.Summary of Guiding Center Drifts and Current Densities
Problems
1. Introduction
2. Phase Space
2.1 Single-Particle Phase Space
2.2 Many-Particle Phase Space
2.3 Volume Elements
3. Distribution Function
4. Number Density and Average Velocity
5. The Boltzmann Equation
5.1 Collisionless Boltzmann Equation
5.2 Jacobian of the Transformation in Phase Space
5.3 Effects of Particle Interactions
6. Relaxation Model for the Collision Term
7. The Vlasov Equation
Problems
6.AVERAGE VALUES AND MACROSCOPIC VARIABLES
1. Average Value of a Physical Quantity
2. Average Velocity and Peculiar Velocity
3. Flux
4. Particle Current Density
5. Momentum Flow Dyad or Tensor
6. Pressure Dyad or Tensor
6.1 Concept of Pressure
6.2 Force per Unit Area
6.3 Force per Unit Volume
6.4 Scalar Pressure and Absolute Temperature
7. Heat Flow Vector
8. Heat Flow Triad
9. Total Energy Flux Triad
……
10.Higher Moments of the Distribution Function
Problems
7. THE EQUILIBRIUM STATE
1. The Equilibrium State Distribution Function
2. The Most Probable Distribution
3. Mixture of Various Particle Species
4. Properties of the Maxwell-Boltzmann Distribution Function
5. Equilibrium in the Presence of an External Force
6. Degree of Ionization in Equilibrium and the Saha Equation
Problems
8. MACROSCOPIC TRANSPSRT EQUATIONS
1. Moments of the Boltzmann Equation
2. General Transport Equation
3. Conservation of Mass
4. Conservation of Momentum Conservation of Energy
6. The Cold Plasma Model
7. The Warm Plasma Model
Problems
9. MACROSCOPIC EQUATIONS FOR A CONDUCTING FLUID
1. Macroscopic Variables for a Plasma as a Conducting Fluid
2. Continuity Equation
3. Equation of Motion
4. Energy Equation
5. Elect rodynamic Equations for a Conducting Fluid
6. Simplified Magnetohydrodynamic Equations
Problems
10. PALSMA CONDUCTIVITY AND DIFFUSION
1. Introduction
2. The Langevin Equation
3. Linearization of the Langevin Equation
4. DC Conductivity and Electron Mobility
5. AC Conductivity and Electron Mobility
6. Conductivity with Ion Motion
7. Plasma as a Dielectric Medium
8. Free Electron Diffusion
9. Electron Diffusion in a Magnetic Field
10. Ambipolar Diffusion
11. Diffusion in a Fully Ionized Plasma
Problems
11. SOME BASIC PLASMA PHENOMENA
1. Electron Plasma Oscillations
2. The Debye Shielding Problem
3. Debye Shielding Using the Vlasov Equation
4. Plasma Sheath
5. Plasma Probe
Problems
12. SIMPLE APPLICATIONS OF MAGETOHYORODYNAMICS
1. Fundamental Equations of Magnetohydrodynamics
2. Magnetic Viscosity and Reynolds Number
3. Diffusion of Magnetic Field Lines
4. Freezing of Magnetic Field Lines to the Plasma
5. Magnetic Pressure
6. Isobaric Surfaces
7. Plasma Confinement in a Magnetic Field
Problems
13. THE PINCH EFFECT
14. ELECTROMAGNETIC WAVES IN FREE SPACE
1. Introduction
2. The Equilibrium Pinch
3. The Bennett Pinch
4. Dynamic Model of the Pinch
5. Instabilities in a Pinched Plasma Column
6. The Sausage Instability
7. The Kink Instability
8. Convex Field Configurations
Problems
15. MAGNETOHYDRODYNAMIC WAVES
1. The Wave Equation
2. Solution in Plane Waves
3. Harmonic Waves
4. Polarization
5. Energy Flow
6. Wave Packets and Group Velocity
Problems
16. WAVES IN COLD PLASMAS
1. Introduction
2. MHD Equations for a Compressible
3. Propagation Perpendicular to the Magnetic Field
4. Propagation Parallel to the Magnetic Field
5. Propagation at Arbitrary Directions
6. Effect of Displacement Current
7. Damping of MHD Waves Problems
5. Wave Propagation in Magnetized Cold Plasmas
6. Propagation Parallel to Bo
7. Propagation Perpendicular to Bo
8. Propagation at Arbitrary Directions
9. Some Special Wave Phenomena in Cold Plasmas
Problems
17. WSVES IN WARM PLASMAS
1. Introduction
2. Waves in a Fully Ionized Isotropic Warm Plasma
3. Basic Equations for Waves in a Warm Magnetoplasma
4. Waves in a Warm Electron Gas in a Magnetic Field
5. Waves in a Fully Ionized Warm Magnetoplasma
6. Summary
Problems
18. WSVES IN HOT ISOTROPIC PLASMAN
1. Introduction
2. Basic Equations
3. General Results for a Plane Wave
4. Electrostatic Longitudinal Wave in a Hot Isotropic Plasma
5. Transverse Wave in a Hot Isotropic Plasma
6. The Two-Stream Instability
7. Summary
Problems
19. WAVES IN HOT MAGNETIZED PLASMAS
1. Introduction
2. Wave Propagation Along the Magnetostatic Field in a Hot Plasma
3. Wave Propagation Across the Magnetostatic Field in a Hot Plasma
4. Summary
Problems
20. PARTICLE INTERACTIONS IN PLASMAS
1. Introduction
2. Binary Collisions
3. Dynamics of Binary Collisions
4. Evaluation of the Scattering Angle
5. Cross Sections
6. Cross Sections for the Hard Sphere Model
7. Cross Sections for the Coulomb Potential
8. Screening of the Coulomb Potential
Problems
21. THE BOL TZMANN AND THE FOKKER-PLANCK EQUATIONS
1. Introduction
2. The Boltzmann Equation
3. The Boltzmanns H Function
4. Boltzmann Collision Term for a Weakly Ionized Plasma
5. The Fokker-Planck Equation
Problems
22. TPANSPORT PROCESSES IN PLASMAS
1. Introduction
2. Electric Conductivity in a Nonmagnetized Plasma
3. Electric Conductivity in a Magnetized Plasma
4. Free Diffusion
5. Diffusion in a Magnetic Field
6. Heat Flow
Problems
APPENDIX A
Useful Vector Relations
APPENDIX B
Useful Relations in Cartesian and
in Curvilinear Coordinates
APPENDIX C
Physical Constants (MKSA)
APPENDIX D
Conversion Factors for Physical Units
APPENDIX E
Some Important Plasma Parameters
APPENDIX F
Approximate Magnitudes in Some Typical Plasmas
INDEX
前言/序言
This text is intended as a general introduction to plasma physics and was designed with the main purpose of presenting a comprehensive,logical, and unified treatment of the fundamentals of plasma physics based on statistical kinetic theory. It should be useful primarily for advanced undergraduate and first-year graduate students meeting the subject of plasma physics for the first time and presupposes only a basic elementary knowledge of vector analysis, differential equations, and complex variables, as well as courses on classical mechanics and electromagnetic theory beyond sophomore level. Some effort has been made to make the book self-contained by including in the text developments of fluid mechanics and kinetic theory that are needed.
Throughout the text the emphasis is on clarity, rather than formality.The various derivations are explained in detail and, wherever possible,the physical interpretations are emphasized. The equations are presented in such a way that they connect together, without requiring the reader to do extensive algebra to bridge the gap. The features of clarity and completeness make the book suitable for self-learning and for self-paced courses.
The structure of this book is as follows.Chapter I consists of a basic introduction to plasma physics, at a descriptive level, intended to give the reader an overall view of the subject. The motion of charged particles under the influence of specified electric and magnetic fields is treated in detail in Chapters 2, 3, and 4. In the next five chapters the fundamental equations necessary for an elementary description of plasma phenomena are developed. Chapter 5 introduces the concepts of phase space and distribution function, and derives the basic differential kinetic equation that governs the evolution of the distribution function in phasespace. The definitions of the macroscopic variables in terms of the phase
space distribution function are presented in Chapter 6 and their physical interpretations are discussed. The Maxweil-Boltzmann equilibriumdistribution function is introduced in Chapter 7, as the equilibrium solution of the Boltzmann equation, and its kinetic properties are analyzed in some detail. In Chapter 8 the macroscopic transport equations for a plasma considered as a mixture of various interpenetrating.fluids are derived, whereas the macroscopic transport equations for the whole plasma as a single conducting fluid are developed in Chapter 9.
The remainder of the book is devoted to applications of these basic equations in the description of a variety of important phenomena in plasmas. The problems of electrical conductivity and diffusion in plasmas are analyzed in Chapter 10, and other basic plasma phenomena, such as electron plasma oscillations and Debye shielding, are treated in Chapter 11.Simple applications of the magnetohydrodynamic equations, such as in plasma confinement by magnetic fields and the pinch effect, are presented in Chapters 12 and 13. The subject of wave phenomena in plasmas is organized in the next six chapters. A review of the basic concepts related to electromagnetic wave propagation in free space is given in Chapter 14.The propagation of very low frequency waves in a highly conducting fluid is analyzed in Chapter 15, under the title of magnetohydrodynamic waves.The various modes of wave propagation in cold and warm plasmas are considered in Chapters 16 and 17, respectively. In Chapters 18 and 19 the various properties of wave propagation in hot nonmagnetized plasmas and in hot magnetized plasmas, respectively, are analyzed. Collisional phenomena in plasmas are treated in Chapter 20, and the derivations of the Boltzmann collision integral and of the Fokker-Planck collision term are presented in Chapter 21. Finally, in Chapter 22 some applications of the Boltzmann equation to the analysis of transport phenomena in plasmas are presented.
Problems are provided at the end of each chapter, which illustrate additional applications of the theory and supplement the textual material.Most of the problems are designed in such a way as to provide a guideline for the student, including intermediate steps and answers in their statements.
The numbering of the equations, within each chapter, starts over again at each section. When reference is made to an equation using three numbers, the first number indicates the chapter and the last two numbers indicate the section and the equation, respectively. Within the same chapter the first number is omitted. Vector quantities are represented by boldface type letters (such as r) and unit vectors by a circumflex above the corresponding letter (such as r). Dyadic and triadic quantities are represented by calligraphic type letters (such as Q).
The system of units used in this text is the rationalized MKSA. This system is based on four primary quantities: length, mass, time, and current. Its name derives from the units meter (m), kilogram (kg), second (s), and ampere (A).
The book contains more material than what can normally be covered in one semester. This permits some freedom in the selection of topics depending on the level and desired emphasis of the course, and on the interests of the students. The whole text can also be adequately covered within two semesters.
In this, as in any introductory book, the topics included clearly do not cover all areas of plasma physics. No attempt was made to present the experimental aspects of the subject. Moreover, there are some important theoretical topics that are covered only very briefly and some that have been left for more advanced courses on plasma physics, such as plasma instabilities, plasma radiation, nonlinear plasma theory, and plasma turbulence.
I am grateful to the many people who contributed to this book, both directly and indirectly, and especially to the many students to whom I had the opportunity to test my ideas in the various courses I taught over the last twenty-five years. The amount of digitalized information in a book such as this is truly enormous, and some errors may be bound to occur.Further feedback from readers will be appreciated. I wish to thank the many professors, students, and researchers who have used the first two editions of this book, all over the world, and contributed to its improvement.
好的,这是一份针对《等离子体物理学基础(第3版)(英文版)》之外的,涵盖等离子体物理学相关但内容不与之重叠的图书简介。 --- 书名: 《先进磁约束聚变等离子体研究:从理论到实验进展》 作者: [虚构的作者姓名,例如:张文涛、李明德] 出版社: [虚构的学术出版社名称,例如:寰宇科学出版社] 出版年份: 2024年 --- 内容简介 一、本书定位与目标读者 本书聚焦于现代磁约束聚变(Magnetic Confinement Fusion, MCF)领域的前沿研究,特别是针对托卡马克(Tokamak)和仿星器(Stellarator)等先进聚变装置中等离子体的复杂行为。本书旨在为高年级本科生、研究生、从事聚变能源研究的科研人员以及工程技术人员提供一个深入理解先进聚变等离子体物理及其实验诊断的权威参考。 与基础的等离子体物理教材不同,本书不侧重于介绍经典的麦克斯韦方程组在等离子体中的基础解,或简单的朗缪尔探针测量原理。相反,它将重点放在非理想效应、湍流输运、高约束模式(H-mode)的物理机制、以及先进控制技术在聚变堆芯物理中的应用。本书的结构设计,旨在弥补传统教材在处理实际运行中等离子体复杂性方面的不足。 二、核心章节与内容深度解析 第一部分:非理想等离子体动力学与输运机制 1. 磁流体力学(MHD)的非线性演化: 本章深入探讨了MHD不稳定性在约束聚变等离子体中的关键作用,特别是对微观和宏观模不稳定性的分析。内容涵盖了磁岛的形成与饱和、撕裂模(Tearing Modes)的非线性演化,以及它们如何触发等离子体性能的急剧下降(如ELMs,边缘局域模)。区别于基础教材的线性稳定性分析,本书侧重于非线性相互作用和饱和机制的数值模拟结果和理论模型(如Resistive Wall Modes的响应)。 2. 湍流与输运:湍流的微观根源与宏观影响: 这是本书的重点之一。我们将详细剖析导致聚变等离子体能量和粒子快速损失的离子尺度(Ion-Scale)和电子尺度(Electron-Scale)湍流。具体内容包括:梯度驱动的微观不稳定性(如ITG, ETG)的详细线性分析、非线性模拟方法(如BOUT++或GS2代码的物理基础),以及如何通过Shear Flow来抑制或调节湍流的有效性。我们还将讨论“热点(Heat Flux)”问题,即湍流如何影响面向等离子体材料表面的热载荷。 3. 新一代聚变装置的挑战:仿星器物理: 针对仿星器独特的磁场拓扑结构,本章专门讨论了三维(3D)磁场对输运的深刻影响。内容包括:优化的磁表面(Optimized Magnetic Surfaces)的设计原理、涡旋流(Neoclassical Toroidal Viscosity, NTV)的产生及其对等离子体旋转的影响,以及如何利用“准对称性(Quasi-Symmetry)”概念来最小化新古典输运。 第二部分:高约束模式(H-mode)的物理与控制 1. H-mode的边缘物理: H-mode是实现高功率密度运行的关键。本书详细阐述了压力梯度驱动的边缘区域的物理特性。内容涵盖了“L-H转换”的临界条件,传输垒(Transport Barrier)的形成机制,包括Shear Flow Generation和电场梯度(E×B Shear)如何有效限制湍流。我们还将探讨“先进H-mode”(如Seeded ELMs, QH-mode)的物理特性及其对未来聚变堆的意义。 2. 等离子体-壁相互作用(PWI)的深入研究: 聚变等离子体与围绕它的第一壁材料之间的复杂相互作用是限制聚变性能的关键。本章超越了简单的溅射和中子活化,深入探讨了中性粒子绕射(Neutral Particle Recycling)、杂质的输运与辐射(Impurity Transport and Radiation),以及边界层的预屏蔽(Pre-sheath)效应。我们还将讨论如何利用液态金属壁或预处理技术来改善等离子体与壁的耦合。 第三部分:先进诊断与实时控制方法 1. 非线性动力学诊断技术: 本章侧重于那些用于探测湍流和非线性波动的先进诊断工具。具体包括:湍流诊断技术(如Collective Scattering Diagnostics),用于测量微观尺度的密度和温度波动;高频微波诊断(如ECE, Electron Cyclotron Emission)用于实时测量局部电子温度剖面和磁场结构;以及高时空分辨率的成像技术在捕获快速瞬态事件中的应用。 2. 聚变等离子体的实时反馈控制: 现代聚变装置依赖于复杂的实时控制系统来维持稳定运行。本书介绍如何将模型预测控制(MPC)和基于观测器的先进估计器应用于等离子体形状、电流剖面、甚至湍流强度的实时调节。我们讨论了如何利用机器学习技术预测不稳定性爆发(如MGI, Major Disruption)并触发预防性控制措施。 三、本书的独特视角与贡献 本书的特点在于其对计算模拟与实验数据融合的强调。它不仅呈现了理论模型的推导,更紧密结合了ITER、JET、DIII-D、W7-X等世界领先装置的最新实验结果和高保真模拟数据。读者将看到如何利用先进的CFD和PIC模拟来验证和解释复杂磁约束系统中的非线性物理现象。 本书的深度和广度超越了入门级教材,是理解当前聚变研究热点,尤其是能量“瓶颈”和高性能运行模式的关键参考资料。它为读者构建了一个从微观湍流到宏观MHD行为,再到实际工程控制的完整知识体系。