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Foundations of Plasma Physics for Physicists and Mathematicians covers the basic physics underlying plasmas and describes the methodology and techniques used in both plasma research and other disciplines such as optics and fluid mechanics. Designed to help readers develop physical understanding and mathematical competence in the subject, this rigorous textbook discusses the underlying theoretical foundations of plasma physics as well as a range of specific problems, focused on those principally associated with fusion.
Reflective of the development of plasma physics, the text first introduces readers to the collective and collisional behaviors of plasma, the single particle model, wave propagation, the kinetic effects of gases and plasma, and other foundational concepts and principles. Subsequent chapters cover topics including the hydrodynamic limit of plasma, ideal magneto-hydrodynamics, waves in MHD plasmas, magnetically confined plasma, and waves in magnetized hot and cold plasma. Written by an acknowledged expert with more than five decades' active research experience in the field, this authoritative text:
* Identifies and emphasizes the similarities and differences between plasmas and fluids
* Describes the different types of interparticle forces that influence the collective behavior of plasma
* Demonstrates and stresses the importance of coherent and collective effects in plasma
* Contains an introduction to interactions between laser beams and plasma
* Includes supplementary sections on the basic models of low temperature plasma and the theory of complex variables and Laplace transforms
Foundations of Plasma Physics for Physicists and Mathematicians is the ideal textbook for advanced undergraduate and graduate students in plasma physics, and a valuable compendium for physicists working in plasma physics and fluid mechanics.
Foundations of Plasma Physics for Physicists and Mathematicians covers the basic physics underlying plasmas and describes the methodology and techniques used in both plasma research and other disciplines such as optics and fluid mechanics. Designed to help readers develop physical understanding and mathematical competence in the subject, this rigorous textbook discusses the underlying theoretical foundations of plasma physics as well as a range of specific problems, focused on those principally associated with fusion.
Reflective of the development of plasma physics, the text first introduces readers to the collective and collisional behaviors of plasma, the single particle model, wave propagation, the kinetic effects of gases and plasma, and other foundational concepts and principles. Subsequent chapters cover topics including the hydrodynamic limit of plasma, ideal magneto-hydrodynamics, waves in MHD plasmas, magnetically confined plasma, and waves in magnetized hot and cold plasma. Written by an acknowledged expert with more than five decades' active research experience in the field, this authoritative text:
* Identifies and emphasizes the similarities and differences between plasmas and fluids
* Describes the different types of interparticle forces that influence the collective behavior of plasma
* Demonstrates and stresses the importance of coherent and collective effects in plasma
* Contains an introduction to interactions between laser beams and plasma
* Includes supplementary sections on the basic models of low temperature plasma and the theory of complex variables and Laplace transforms
Foundations of Plasma Physics for Physicists and Mathematicians is the ideal textbook for advanced undergraduate and graduate students in plasma physics, and a valuable compendium for physicists working in plasma physics and fluid mechanics.
Geoffrey J. Pert is Emeritus Professor, Department of Physics, University of York, UK. He has continuously been involved in research in plasma physics, primarily the interaction of high-power lasers with materials, since first studying the subject as a research student in the 1960's. Professor Pert is a Fellow of the Royal Society and has published more than 200 papers in scientific research journals. He is the author of Introduction to Fluid Mechanics and the co-author of An Introduction to Computer Simulation.
Preface xvii
1 Fundamental Plasma Parameters - Collective Behaviour 1
1.1 Introduction 1
1.2 Cold Plasma Waves 2
1.2.1 Wave Breaking 3
1.3 Debye Shielding 4
1.3.1 Weakly and Strongly Coupled Plasmas 6
1.3.2 The Plasma Parameter 7
1.4 Diffusion and Mobility 8
1.4.1 Einstein-Smoluchowski Relation 8
1.4.2 Ambipolar Diffusion 9
1.5 Wall Sheath 9
1.5.1 Positively Biased Wall 10
1.5.2 Free Fall Sheath 10
1.5.2.1 Pre-sheath 11
1.5.3 Mobility Limited Sheath 11
2 Fundamental Plasma Parameters - Collisional Behaviour 13
2.1 Electron Scattering by Ions 13
2.1.1 Binary Collisions - Rutherford Cross Section 13
2.1.2 Momentum Transfer Cross Section 15
2.1.2.1 Dynamical Friction and Diffusion 16
2.1.3 Many Body Collisions - Impulse Approximation 16
2.1.4 Relaxation Times 20
2.2 Collisional Transport Effects 21
2.2.1 Random Walk Model for Transport Effects 22
2.2.2 Maxwell's Mean Free Path Model of Transport Phenomena 23
2.2.2.1 Flux Limitation 25
2.2.3 Drude Model of Electrical Conductivity 26
2.2.3.1 Alternating Electric Field, No Magnetic Field 27
2.2.3.2 Steady Electric Field, Finite Magnetic Field 27
2.2.3.3 Oscillatory Electric Field, Finite Magnetic Field 28
2.2.4 Diffusivity and Mobility in a Uniform Magnetic Field 29
2.3 Plasma Permittivity 30
2.3.1 Poynting's Theorem - Energy Balance in an Electro-magnetic Field 31
2.4 Plasma as a Fluid - Two Fluid Model 32
2.4.1 Waves in Plasma 33
2.4.2 Beam Instabilities 36
2.4.2.1 Plasma Bunching 36
2.4.2.2 Two Stream Instability 36
2.4.3 Kinematics of Growing Waves 37
Appendix 2.A Momentum Transfer Collision Rate 39
Appendix 2.B The Central Limit Theorem 41
3 Single Particle Motion - Guiding Centre Model 43
3.1 Introduction 43
3.2 Motion in Stationary and Uniform Fields 44
3.2.1 Static Uniform Magnetic Field - Cyclotron Motion 44
3.2.2 Uniform Static Electric and Magnetic Fields 45
3.3 The Guiding Centre Approximation 45
3.3.1 The Method of Averaging 46
3.3.2 The Guiding Centre Model for Charged Particles 48
3.4 Particle Kinetic Energy 51
3.5 Motion in a Static Inhomogeneous Magnetic Field 52
3.5.1 Field Gradient Drift 53
3.5.2 Curvature Drift 53
3.5.3 Divergent Field Lines 55
3.5.4 Twisted Field Lines 55
3.6 Motion in a Time Varying Magnetic Field 56
3.7 Motion in a Time Varying Electric Field 56
3.8 Collisional Drift 58
3.9 Plasma Diamagnetism 58
3.10 Particle Trapping and Magnetic Mirrors 59
3.10.1 Fermi Acceleration 61
3.11 Adiabatic Invariance 61
3.12 Adiabatic Invariants of Charged Particle Motions 63
Appendix 3.A Northrop's Expansion Procedure 64
3.A.1 Drift Velocity and Longitudinal Motion along the Field Lines 65
4 Kinetic Theory of Gases 67
4.1 Introduction 67
4.2 Phase Space 68
4.2.1 ¿ Phase Space 68
4.2.1.1 Liouville's Equation 69
4.2.2 ¿Space 70
4.3 Relationship Between ¿ Space and ¿Space 71
4.3.1 Integrals of the Liouville Equation 72
4.4 The BBGKY (Bogoliubov-Born-Green-Kirkwood-Yvon) Hierarchy 73
4.5 Bogoliubov's Hypothesis for Dilute Gases 74
4.6 Derivation of the Boltzmann Collision Integral from the BBGKY Hierarchy 76
4.7 Boltzmann Collision Operator 78
4.7.1 Summation Invariants 79
4.8 Boltzmann's H Theorem 79
4.9 The Equilibrium Maxwell-Boltzmann Distribution 80
4.9.1 Entropy and the H function 81
4.10 Hydrodynamic Limit - Method of Moments 81
4.10.1 Conservation of Mass 83
4.10.2 Conservation of Momentum 83
4.10.3 Conservation of Energy 84
4.11 The Departure from Steady Homogeneous Flow: The Chapman-Enskog Approximation 84
5 Wave Propagation in Inhomogeneous, Dispersive Media 89
5.1 Introduction 89
5.2 Basic Concepts of Wave Propagation - The Geometrical Optics Approximation 90
5.3 The WKB Approximation 92
5.3.1 Oblique Incidence 93
5.4 Singularities in Waves 93
5.4.1 Cut-off or Turning Point 94
5.4.2 Resonance Point 96
5.4.3 Resonance Layer and Collisional Damping 99
5.5 The Propagation of Energy 100
5.5.1 Group Velocity of Waves in Dispersive Media 100
5.5.2 Waves in Dispersive Isotropic Media 101
5.6 Group Velocity of Waves in Anisotropic Dispersive Media 102
5.6.1 Equivalence of Energy Transport Velocity and Group Velocity 106
Appendix 5.A Waves in Anisotropic Inhomogeneous Media 107
6 Kinetic Theory of Plasmas - Collisionless Models 111
6.1 Introduction 111
6.2 Vlasov Equation 111
6.3 Particle Trapping by a Potential Well 114
7 Kinetic Theory of Plasmas 121
7.1 Introduction 121
7.2 The Fokker-Planck Equation - The Stochastic Approach 122
7.2.1 The Scattering Integral for Coulomb Collisions 124
7.3 The Fokker-Planck Equation - The Landau Equation 128
7.3.1 Application to Collisions between Charged Particles 130
7.4 The Fokker-Planck Equation - The Cluster Expansion 131
7.4.1 The Balescu-Lenard Equation 132
7.5 Relaxation of a Distribution to the Equilibrium Form 135
7.5.1 Isotropic Distribution 135
7.5.2 Anisotropic Distribution 137
7.6 Ion-Electron Thermal Equilibration by Coulomb Collisions 139
7.7 Dynamical Friction 140
Appendix 7.A Reduction of the Boltzmann Equation to Fokker-Planck Form in the Weak Collision Limit 142
Appendix 7.B Finite Difference Algorithm for Integrating the Isotropic Fokker-Planck Equation 144
Appendix 7.C Monte Carlo Algorithm for Integrating the Fokker-Planck Equation 145
Appendix 7.D Landau's Calculation of the Electron-Ion Equilibration Rate 147
8 The Hydrodynamic Limit for Plasma 149
8.1 Introduction - Individual Particle Fluid Equations 149
8.2 The Departure from Steady, Homogeneous Flow: The Transport Coefficients 150
8.3 Magneto-hydrodynamic Equations 151
8.3.1 Equation of Mass Conservation 151
8.3.2 Equation of Momentum Conservation 152
8.3.3 Virial Theorem 154
8.3.4 Equation of Current Flow 154
8.3.5 Equation of Energy Conservation 155
8.4 Transport Equations 156
8.4.1 Collision Times 157
8.4.2 Symmetry of the Transport Equations 158
8.5 Two Fluid MHD Equations - Braginskii Equations 161
8.5.1 Magnetic Field Equations 162
8.5.1.1 Energy Balance 164
8.6 Transport Coefficients 165
8.6.1 Collisional Dominated Plasma 165
8.6.1.1 Force Terms F 165
8.6.1.2 Energy Flux Terms 165
8.6.1.3 Viscosity 166
8.6.2 Field-Dominated Plasma 166
8.6.2.1 Force Terms F 166
8.6.2.2 Energy Flux Terms 167
8.6.2.3 Viscosity 168
8.7 Calculation of the Transport Coefficients 168
8.8 Lorentz Approximation 170
8.8.1 Electron-Electron Collisions 173
8.8.2 Electron Runaway 174
8.9 Deficiencies in the Spitzer/Braginskii Model of Transport Coefficients 177
Appendix 8.A BGK Model for the Calculation of Transport Coefficients 178
8.A.1 BGK Conductivity Model 178
8.A.2 BGK Viscosity Model 180
Appendix 8.B The Relationship Between the Flux Equations Given By Shkarofsky and Braginskii 181
Appendix 8.C Electrical Conductivity in a Weakly Ionised Gas and the Druyvesteyn Distribution 182
9 Ideal Magnetohydrodynamics 187
9.1 Infinite Conductivity MHD Flow 188
9.1.1 Frozen Field Condition 189
9.1.2 Adiabatic Equation of State 190
9.1.3 Pressure Balance 191
9.1.3.1 Virial Theorem 191
9.2 Incompressible Approximation 192
9.2.1 Bernoulli's Equation - Steady Flow 192
9.2.2 Kelvin's Theorem - Circulation 193
9.2.3 Alfvén Waves 193
10 Waves in MHD Fluids 197
10.1 Introduction 197
10.2 Magneto-sonic Waves 198
10.3 Discontinuities in Fluid Mechanics 203
10.3.1 Classical Fluids 203
10.3.2 Discontinuities in Magneto-hydrodynamic Fluids 204
10.4 The Rankine-Hugoniot Relations for MHD Flows 205
10.5 Discontinuities in MHD Flows 206
10.6 MHD Shock Waves 207
10.6.1 Simplifying Frame Transformations 207
10.7 Properties of MHD Shocks 208
10.7.1 Shock Hugoniot 208
10.7.2 Shock Adiabat - General Solution for a Polytropic Gas 209
10.8 Evolutionary Shocks 212
10.8.1 Evolutionary MHD Shock Waves 213
10.8.2 Parallel Shock - Magnetic Field Normal to the Shock Plane 214
10.9 Switch-on and Switch-off Shocks 216
10.10 Perpendicular Shock - Magnetic Field Lying in the Shock Plane 217
10.11 Shock Structure and Stability 218
Appendix 10.A Group Velocity of Magneto-sonic Waves 218
Appendix 10.B Solution in de Hoffman-Teller Frame 220
10.B.1 Parallel Shocks 222
11 Waves in Cold Magnetised Plasma 223
11.1 Introduction 223
11.2 Waves in Cold Plasma 223
11.2.1 Cut-off and Resonance 226
11.2.2 Polarisation 227
11.3 Cold Plasma Waves 227
11.3.1 Zero Applied Magnetic Field 227
11.3.2 Low Frequency Velocity Waves 228
11.3.3 Propagation of Waves Parallel to the Magnetic Field 229
11.3.4 Propagation of Waves Perpendicular to the Magnetic Field 232
11.3.5 Resonance in Plasma Waves 234
12 Waves in Magnetised Warm Plasma 237
12.1 The Dielectric Properties of Unmagnetised Warm Dilute Plasma 237
12.1.1...
| Erscheinungsjahr: | 2021 |
|---|---|
| Fachbereich: | Atomphysik & Kernphysik |
| Genre: | Importe, Physik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: | 464 S. |
| ISBN-13: | 9781119774259 |
| ISBN-10: | 111977425X |
| Sprache: | Englisch |
| Herstellernummer: | 1W119774250 |
| Einband: | Gebunden |
| Autor: | Pert, Geoffrey J |
| Hersteller: | Wiley |
| Verantwortliche Person für die EU: | Wiley-VCH GmbH, Boschstr. 12, D-69469 Weinheim, product-safety@wiley.com |
| Maße: | 261 x 183 x 32 mm |
| Von/Mit: | Geoffrey J Pert |
| Erscheinungsdatum: | 29.03.2021 |
| Gewicht: | 1,024 kg |
Geoffrey J. Pert is Emeritus Professor, Department of Physics, University of York, UK. He has continuously been involved in research in plasma physics, primarily the interaction of high-power lasers with materials, since first studying the subject as a research student in the 1960's. Professor Pert is a Fellow of the Royal Society and has published more than 200 papers in scientific research journals. He is the author of Introduction to Fluid Mechanics and the co-author of An Introduction to Computer Simulation.
Preface xvii
1 Fundamental Plasma Parameters - Collective Behaviour 1
1.1 Introduction 1
1.2 Cold Plasma Waves 2
1.2.1 Wave Breaking 3
1.3 Debye Shielding 4
1.3.1 Weakly and Strongly Coupled Plasmas 6
1.3.2 The Plasma Parameter 7
1.4 Diffusion and Mobility 8
1.4.1 Einstein-Smoluchowski Relation 8
1.4.2 Ambipolar Diffusion 9
1.5 Wall Sheath 9
1.5.1 Positively Biased Wall 10
1.5.2 Free Fall Sheath 10
1.5.2.1 Pre-sheath 11
1.5.3 Mobility Limited Sheath 11
2 Fundamental Plasma Parameters - Collisional Behaviour 13
2.1 Electron Scattering by Ions 13
2.1.1 Binary Collisions - Rutherford Cross Section 13
2.1.2 Momentum Transfer Cross Section 15
2.1.2.1 Dynamical Friction and Diffusion 16
2.1.3 Many Body Collisions - Impulse Approximation 16
2.1.4 Relaxation Times 20
2.2 Collisional Transport Effects 21
2.2.1 Random Walk Model for Transport Effects 22
2.2.2 Maxwell's Mean Free Path Model of Transport Phenomena 23
2.2.2.1 Flux Limitation 25
2.2.3 Drude Model of Electrical Conductivity 26
2.2.3.1 Alternating Electric Field, No Magnetic Field 27
2.2.3.2 Steady Electric Field, Finite Magnetic Field 27
2.2.3.3 Oscillatory Electric Field, Finite Magnetic Field 28
2.2.4 Diffusivity and Mobility in a Uniform Magnetic Field 29
2.3 Plasma Permittivity 30
2.3.1 Poynting's Theorem - Energy Balance in an Electro-magnetic Field 31
2.4 Plasma as a Fluid - Two Fluid Model 32
2.4.1 Waves in Plasma 33
2.4.2 Beam Instabilities 36
2.4.2.1 Plasma Bunching 36
2.4.2.2 Two Stream Instability 36
2.4.3 Kinematics of Growing Waves 37
Appendix 2.A Momentum Transfer Collision Rate 39
Appendix 2.B The Central Limit Theorem 41
3 Single Particle Motion - Guiding Centre Model 43
3.1 Introduction 43
3.2 Motion in Stationary and Uniform Fields 44
3.2.1 Static Uniform Magnetic Field - Cyclotron Motion 44
3.2.2 Uniform Static Electric and Magnetic Fields 45
3.3 The Guiding Centre Approximation 45
3.3.1 The Method of Averaging 46
3.3.2 The Guiding Centre Model for Charged Particles 48
3.4 Particle Kinetic Energy 51
3.5 Motion in a Static Inhomogeneous Magnetic Field 52
3.5.1 Field Gradient Drift 53
3.5.2 Curvature Drift 53
3.5.3 Divergent Field Lines 55
3.5.4 Twisted Field Lines 55
3.6 Motion in a Time Varying Magnetic Field 56
3.7 Motion in a Time Varying Electric Field 56
3.8 Collisional Drift 58
3.9 Plasma Diamagnetism 58
3.10 Particle Trapping and Magnetic Mirrors 59
3.10.1 Fermi Acceleration 61
3.11 Adiabatic Invariance 61
3.12 Adiabatic Invariants of Charged Particle Motions 63
Appendix 3.A Northrop's Expansion Procedure 64
3.A.1 Drift Velocity and Longitudinal Motion along the Field Lines 65
4 Kinetic Theory of Gases 67
4.1 Introduction 67
4.2 Phase Space 68
4.2.1 ¿ Phase Space 68
4.2.1.1 Liouville's Equation 69
4.2.2 ¿Space 70
4.3 Relationship Between ¿ Space and ¿Space 71
4.3.1 Integrals of the Liouville Equation 72
4.4 The BBGKY (Bogoliubov-Born-Green-Kirkwood-Yvon) Hierarchy 73
4.5 Bogoliubov's Hypothesis for Dilute Gases 74
4.6 Derivation of the Boltzmann Collision Integral from the BBGKY Hierarchy 76
4.7 Boltzmann Collision Operator 78
4.7.1 Summation Invariants 79
4.8 Boltzmann's H Theorem 79
4.9 The Equilibrium Maxwell-Boltzmann Distribution 80
4.9.1 Entropy and the H function 81
4.10 Hydrodynamic Limit - Method of Moments 81
4.10.1 Conservation of Mass 83
4.10.2 Conservation of Momentum 83
4.10.3 Conservation of Energy 84
4.11 The Departure from Steady Homogeneous Flow: The Chapman-Enskog Approximation 84
5 Wave Propagation in Inhomogeneous, Dispersive Media 89
5.1 Introduction 89
5.2 Basic Concepts of Wave Propagation - The Geometrical Optics Approximation 90
5.3 The WKB Approximation 92
5.3.1 Oblique Incidence 93
5.4 Singularities in Waves 93
5.4.1 Cut-off or Turning Point 94
5.4.2 Resonance Point 96
5.4.3 Resonance Layer and Collisional Damping 99
5.5 The Propagation of Energy 100
5.5.1 Group Velocity of Waves in Dispersive Media 100
5.5.2 Waves in Dispersive Isotropic Media 101
5.6 Group Velocity of Waves in Anisotropic Dispersive Media 102
5.6.1 Equivalence of Energy Transport Velocity and Group Velocity 106
Appendix 5.A Waves in Anisotropic Inhomogeneous Media 107
6 Kinetic Theory of Plasmas - Collisionless Models 111
6.1 Introduction 111
6.2 Vlasov Equation 111
6.3 Particle Trapping by a Potential Well 114
7 Kinetic Theory of Plasmas 121
7.1 Introduction 121
7.2 The Fokker-Planck Equation - The Stochastic Approach 122
7.2.1 The Scattering Integral for Coulomb Collisions 124
7.3 The Fokker-Planck Equation - The Landau Equation 128
7.3.1 Application to Collisions between Charged Particles 130
7.4 The Fokker-Planck Equation - The Cluster Expansion 131
7.4.1 The Balescu-Lenard Equation 132
7.5 Relaxation of a Distribution to the Equilibrium Form 135
7.5.1 Isotropic Distribution 135
7.5.2 Anisotropic Distribution 137
7.6 Ion-Electron Thermal Equilibration by Coulomb Collisions 139
7.7 Dynamical Friction 140
Appendix 7.A Reduction of the Boltzmann Equation to Fokker-Planck Form in the Weak Collision Limit 142
Appendix 7.B Finite Difference Algorithm for Integrating the Isotropic Fokker-Planck Equation 144
Appendix 7.C Monte Carlo Algorithm for Integrating the Fokker-Planck Equation 145
Appendix 7.D Landau's Calculation of the Electron-Ion Equilibration Rate 147
8 The Hydrodynamic Limit for Plasma 149
8.1 Introduction - Individual Particle Fluid Equations 149
8.2 The Departure from Steady, Homogeneous Flow: The Transport Coefficients 150
8.3 Magneto-hydrodynamic Equations 151
8.3.1 Equation of Mass Conservation 151
8.3.2 Equation of Momentum Conservation 152
8.3.3 Virial Theorem 154
8.3.4 Equation of Current Flow 154
8.3.5 Equation of Energy Conservation 155
8.4 Transport Equations 156
8.4.1 Collision Times 157
8.4.2 Symmetry of the Transport Equations 158
8.5 Two Fluid MHD Equations - Braginskii Equations 161
8.5.1 Magnetic Field Equations 162
8.5.1.1 Energy Balance 164
8.6 Transport Coefficients 165
8.6.1 Collisional Dominated Plasma 165
8.6.1.1 Force Terms F 165
8.6.1.2 Energy Flux Terms 165
8.6.1.3 Viscosity 166
8.6.2 Field-Dominated Plasma 166
8.6.2.1 Force Terms F 166
8.6.2.2 Energy Flux Terms 167
8.6.2.3 Viscosity 168
8.7 Calculation of the Transport Coefficients 168
8.8 Lorentz Approximation 170
8.8.1 Electron-Electron Collisions 173
8.8.2 Electron Runaway 174
8.9 Deficiencies in the Spitzer/Braginskii Model of Transport Coefficients 177
Appendix 8.A BGK Model for the Calculation of Transport Coefficients 178
8.A.1 BGK Conductivity Model 178
8.A.2 BGK Viscosity Model 180
Appendix 8.B The Relationship Between the Flux Equations Given By Shkarofsky and Braginskii 181
Appendix 8.C Electrical Conductivity in a Weakly Ionised Gas and the Druyvesteyn Distribution 182
9 Ideal Magnetohydrodynamics 187
9.1 Infinite Conductivity MHD Flow 188
9.1.1 Frozen Field Condition 189
9.1.2 Adiabatic Equation of State 190
9.1.3 Pressure Balance 191
9.1.3.1 Virial Theorem 191
9.2 Incompressible Approximation 192
9.2.1 Bernoulli's Equation - Steady Flow 192
9.2.2 Kelvin's Theorem - Circulation 193
9.2.3 Alfvén Waves 193
10 Waves in MHD Fluids 197
10.1 Introduction 197
10.2 Magneto-sonic Waves 198
10.3 Discontinuities in Fluid Mechanics 203
10.3.1 Classical Fluids 203
10.3.2 Discontinuities in Magneto-hydrodynamic Fluids 204
10.4 The Rankine-Hugoniot Relations for MHD Flows 205
10.5 Discontinuities in MHD Flows 206
10.6 MHD Shock Waves 207
10.6.1 Simplifying Frame Transformations 207
10.7 Properties of MHD Shocks 208
10.7.1 Shock Hugoniot 208
10.7.2 Shock Adiabat - General Solution for a Polytropic Gas 209
10.8 Evolutionary Shocks 212
10.8.1 Evolutionary MHD Shock Waves 213
10.8.2 Parallel Shock - Magnetic Field Normal to the Shock Plane 214
10.9 Switch-on and Switch-off Shocks 216
10.10 Perpendicular Shock - Magnetic Field Lying in the Shock Plane 217
10.11 Shock Structure and Stability 218
Appendix 10.A Group Velocity of Magneto-sonic Waves 218
Appendix 10.B Solution in de Hoffman-Teller Frame 220
10.B.1 Parallel Shocks 222
11 Waves in Cold Magnetised Plasma 223
11.1 Introduction 223
11.2 Waves in Cold Plasma 223
11.2.1 Cut-off and Resonance 226
11.2.2 Polarisation 227
11.3 Cold Plasma Waves 227
11.3.1 Zero Applied Magnetic Field 227
11.3.2 Low Frequency Velocity Waves 228
11.3.3 Propagation of Waves Parallel to the Magnetic Field 229
11.3.4 Propagation of Waves Perpendicular to the Magnetic Field 232
11.3.5 Resonance in Plasma Waves 234
12 Waves in Magnetised Warm Plasma 237
12.1 The Dielectric Properties of Unmagnetised Warm Dilute Plasma 237
12.1.1...
| Erscheinungsjahr: | 2021 |
|---|---|
| Fachbereich: | Atomphysik & Kernphysik |
| Genre: | Importe, Physik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: | 464 S. |
| ISBN-13: | 9781119774259 |
| ISBN-10: | 111977425X |
| Sprache: | Englisch |
| Herstellernummer: | 1W119774250 |
| Einband: | Gebunden |
| Autor: | Pert, Geoffrey J |
| Hersteller: | Wiley |
| Verantwortliche Person für die EU: | Wiley-VCH GmbH, Boschstr. 12, D-69469 Weinheim, product-safety@wiley.com |
| Maße: | 261 x 183 x 32 mm |
| Von/Mit: | Geoffrey J Pert |
| Erscheinungsdatum: | 29.03.2021 |
| Gewicht: | 1,024 kg |
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