An introduction to the kinetic theory of gases and magnetoplasmas:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford [u.a.]
Oxford Univ. Press
1993
|
| Series: | Oxford science publications
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Nebentitel: Kinetic theory of gases and magnetoplasmas |
| Physical Description: | XII, 287 S. graph. Darst. |
| ISBN: | 0198563930 |
Staff View
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| adam_text | An Introduction to the
Kinetic Theory of Gases
and Magnetoplasmas
L C Woods
Balliol College, University of Oxford
OXFORD NEW YORK MELBOURNE
OXFORD UNIVERSITY PRESS
CONTENTS
Basic Concepts 1
1 1 Molecular models - 1
1 2 Macroscopic variables 3
1 3 The thermodynamic variables 4
1 4 Dynamic pressure 7
1 5 Pressure at points interior to the gas 9
1 6 Ideal fluids 10
1 7 Convection and diffusion 12
18A general balance equation in physical space 14
1 9 The equations of motion for a simple fluid 16
1 10 The first law of thermodynamics 17
1 11 The second law of thermodynamics 19
1 12 Specific Entropy in a Mixture of Gases 21
1 13 Motion of a Fluid Element 22
Exercises 1 24
The Maxwellian Velocity Distribution 26
2 1 The velocity distribution function 26
2 2 Kinetic entropy 27
2 3 The equilibrium velocity distribution 28
2 4 Maxwell s discovery of the equilibrium
distribution 30
2 5 Maximizing the kinetic entropy 32
2 6 Properties of the equilibrium distribution 33
2 7 Dynamics of a binary collision 36
2 8 Collision frequency in a Maxwellian
distribution 38
29A molecular beam in a Maxwellian gas 40
2 10 Persistence of velocity 43
2 11 The Boltzmann distribution law 45
2 12 Effusion and transpiration of gases 46
Exercises 2 48
Elementary Kinetic Theory 49
3 1 Maxwell s two transport theories 49
3 2 Molecules represented by point centres of force 51
3 3 The effective collision interval 53
x • CONTENTS
3 4 The peculiar velocity: no temperature
gradients 56
3 5 Temperature gradients and peculiar velocities 59
3 6 Pressure and viscosity 61
3 7 Thermal conductivity 63
3 8 Heat conductivity in polyatomic gases 65
3 9 Pressure gradients and the peculiar velocity 67
Exercises 3 70
4 Particle Diffusion 72
4 1 Introduction 72
4 2 The general diffusion equation 73
4 3 Mutual diffusion of hard-core molecules 74
4 4 Thermal diffusion 77
4 5 Limiting cases of thermal diffusion 80
4 6 The diffusion heat flux 81
Exercises 4 83
5 Intermediate Kinetic Theory 85
5 1 Introduction 85
5 2 General form of the kinetic equation 87
5 3 Constraints on the collision operator 90
5 4 The BGK kinetic equation 92
5 5 The non-equilibrium distribution function 94
5 6 Viscosity and thermal conductivity 96
5 7 Frame indifference 98
5 8 Pressure gradients and the kinetic equation 100
5 9 Inverse streaming from particle acceleration 103
5 10 Constraints on the relative acceleration 105
5 11 Generalization to a non-synchronous model 108
5 12 Summary of intermediate kinetic theory 111
Exercises 5 112
6 Advanced Kinetic Theory 114
6 1 Introduction 114
6 2 Collision dynamics 116
6 3 Cross sections 117
6 4 Transfers during a single encounter 121
6 5 Particle diffusion 123
6 6 Viscosity 124
6 7 Thermal conductivity 127
6 8 Formulae for special molecular models 128
Exercises 6 133
CONTENTS xi
Boltzmann s Kinetic Equation
Introduction
The classical derivation of Boltzmann s
equation
The equilibrium distribution function
The if-theorem
The Chapman-Enskog series
The first-order approximation to /
Thermal conductivity and viscosity
The maximum principle
Solving the integral equations
Transport properties
Boltzmann s equation and pressure gradients
The direct simulation Monte Carlo approach
Exercises 7
Second-Order Kinetic Theory
Introduction
The second-order distribution function
Second-order transport
The physical principles in second-order
transport
Burnett s second-order transport equations
Ultrasonic sound waves
Shock wave structure
Boundary conditions
Exercises 8
Dynamics of Charged Particles
The electromagnetic fields
Basic plasma parameters
Conservation, equations of magnetoplasma
dynamics
Generalized Ohm s law
Guiding centre motion
Magnetic mirrors
Heat flux in strong magnetic fields
Heat flux for all strengths of magnetic field
Physical mechanisms for heat flux
Exercises 9
• 163
xii CONTENTS
10 Kinetic Theory for Magnetoplasmas 216
10 1 The Fokker-Planck equation 216
10 2 The superpotentials 219
10 3 The Lorentzian plasma 222
10 4 The friction and diffusion coefficients 224
10 5 Relaxation times 227
10 6 The effect of magnetic fields 230
10 7 Particle velocity gyro-averages 232
10 8 First-order transport in magnetoplasmas 234
10 9 Equivalence of BGK and gyro-averaged
equations 235
10 10 Complete list of first-order transport formulae • 237
Exercises 10 241
11 Transport Across Strong Magnetic Fields 242
11 1 Kinetic equation correct to second-order 242
11 2 The acceleration term 244
11 3 Cross-field transport 246
11 4 Heat flux from a cylindrical magnetoplasma 249
11 5 Influence of magnetic mirrors on transport 250
11 6 Tokamak magnetic fields 251
11 7 Trapping in tokamak fields 254
11 8 Transport in tokamaks 255
11 9 Energy losses from tokamaks 258
11 10 Comparison of theory and experiment 263
11 11 The flow of plasma from tokamaks 267
11 12 Energy losses from reversed field pinches 270
Exercises 11 271
Appendix 272
Physical constants in MKS units 272
Departures from received theory 272
References 278
Index 281
|
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| author | Woods, Leslie C. |
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| author_sort | Woods, Leslie C. |
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| discipline | Physik |
| format | Book |
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| id | DE-604.BV008857774 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:26:10Z |
| institution | BVB |
| isbn | 0198563930 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005858150 |
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| physical | XII, 287 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Oxford Univ. Press |
| record_format | marc |
| series2 | Oxford science publications |
| spelling | Woods, Leslie C. Verfasser aut An introduction to the kinetic theory of gases and magnetoplasmas L. C. Woods Kinetic theory of gases and magnetoplasmas Oxford [u.a.] Oxford Univ. Press 1993 XII, 287 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Oxford science publications Nebentitel: Kinetic theory of gases and magnetoplasmas Kinetik (DE-588)4030665-3 gnd rswk-swf Magnetoplasma (DE-588)4436336-9 gnd rswk-swf Kinetische Gastheorie (DE-588)4163881-5 gnd rswk-swf Kinetische Theorie (DE-588)4030669-0 gnd rswk-swf Kinetische Gastheorie (DE-588)4163881-5 s DE-604 Magnetoplasma (DE-588)4436336-9 s Kinetik (DE-588)4030665-3 s Kinetische Theorie (DE-588)4030669-0 s HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005858150&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Woods, Leslie C. An introduction to the kinetic theory of gases and magnetoplasmas Kinetik (DE-588)4030665-3 gnd Magnetoplasma (DE-588)4436336-9 gnd Kinetische Gastheorie (DE-588)4163881-5 gnd Kinetische Theorie (DE-588)4030669-0 gnd |
| subject_GND | (DE-588)4030665-3 (DE-588)4436336-9 (DE-588)4163881-5 (DE-588)4030669-0 |
| title | An introduction to the kinetic theory of gases and magnetoplasmas |
| title_alt | Kinetic theory of gases and magnetoplasmas |
| title_auth | An introduction to the kinetic theory of gases and magnetoplasmas |
| title_exact_search | An introduction to the kinetic theory of gases and magnetoplasmas |
| title_full | An introduction to the kinetic theory of gases and magnetoplasmas L. C. Woods |
| title_fullStr | An introduction to the kinetic theory of gases and magnetoplasmas L. C. Woods |
| title_full_unstemmed | An introduction to the kinetic theory of gases and magnetoplasmas L. C. Woods |
| title_short | An introduction to the kinetic theory of gases and magnetoplasmas |
| title_sort | an introduction to the kinetic theory of gases and magnetoplasmas |
| topic | Kinetik (DE-588)4030665-3 gnd Magnetoplasma (DE-588)4436336-9 gnd Kinetische Gastheorie (DE-588)4163881-5 gnd Kinetische Theorie (DE-588)4030669-0 gnd |
| topic_facet | Kinetik Magnetoplasma Kinetische Gastheorie Kinetische Theorie |
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