Preface to the Second Edition |
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xiii | |
Preface to the First Edition |
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xv | |
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1 | (24) |
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1 | (1) |
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1 | (1) |
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2 | (1) |
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1.2 Maxwell's Electromagnetic Equations |
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2 | (1) |
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3 | (1) |
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4 | (1) |
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5 | (1) |
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1.6 Ionization Energies of Gas-Phase Atoms and Molecules |
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6 | (2) |
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1.7 Electron Affinities of Selected Atoms and Molecules |
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8 | (1) |
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1.8 Atomic and Molecular Notation |
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9 | (8) |
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1.8.1 Atomic Electron Configurations |
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9 | (1) |
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1.8.1.1 Principal Quantum Number, n |
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10 | (1) |
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1.8.1.2 Azimuthal Quantum Number, l |
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10 | (1) |
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1.8.1.3 Magnetic Quantum Number, ml |
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11 | (1) |
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1.8.1.4 Spin Quantum Number, ms |
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11 | (1) |
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1.8.1.5 Multielectron Atoms |
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12 | (1) |
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1.8.1.6 Selection Rules for Transitions |
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13 | (1) |
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1.8.1.7 Emission and Absorption |
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13 | (1) |
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1.8.2 Molecular Electron Configurations |
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13 | (1) |
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1.8.2.1 Born--Oppenheimer Approximation |
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14 | (1) |
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14 | (1) |
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1.8.2.3 Spin Quantum Number |
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14 | (1) |
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1.8.2.4 Molecular Term Notation |
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14 | (1) |
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15 | (1) |
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1.8.2.6 Selection Rules for Transitions |
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15 | (2) |
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1.9 Characteristic Parameters for Typical Plasmas |
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17 | (8) |
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1.9.1 Laboratory Plasma Reactors |
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17 | (1) |
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17 | (1) |
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1.9.1.2 Dielectric Barrier Discharge |
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17 | (1) |
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1.9.1.3 GEC Reference Cell |
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18 | (1) |
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1.9.1.4 Hollow Cathode Discharge |
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18 | (1) |
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19 | (2) |
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1.9.2 Terrestrial and Solar Plasmas |
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21 | (4) |
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2 Basic Plasma Parameters |
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25 | (10) |
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25 | (1) |
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26 | (2) |
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2.2.1 Characteristic Frequencies |
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26 | (1) |
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26 | (1) |
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2.2.1.2 Cyclotron Frequency |
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27 | (1) |
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2.2.1.3 Collision Frequency |
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27 | (1) |
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2.2.2 Characteristic Times |
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27 | (1) |
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2.2.2.1 Alfven Transit Time |
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27 | (1) |
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27 | (1) |
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2.2.2.3 Resistive Timescale |
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28 | (1) |
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2.3 Natural Scale Lengths |
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28 | (1) |
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28 | (1) |
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28 | (1) |
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29 | (1) |
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29 | (1) |
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29 | (1) |
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29 | (1) |
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30 | (1) |
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2.5 Miscellaneous Parameters |
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30 | (2) |
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2.5.1 Collision Cross-Section |
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30 | (1) |
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2.5.2 Differential Scattering Cross-Section |
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30 | (1) |
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31 | (1) |
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31 | (1) |
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2.6 Nondimensional Parameters |
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32 | (2) |
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2.6.1 Dielectric Constant |
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32 | (1) |
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32 | (1) |
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32 | (1) |
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33 | (1) |
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33 | (1) |
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2.6.6 Magnetic Reynolds Number |
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33 | (1) |
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33 | (1) |
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2.7 Parameter Relationships |
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34 | (1) |
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3 Discharge Plasmas and Elementary Processes |
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35 | (18) |
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35 | (1) |
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36 | (3) |
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3.2.1 Planar Sheath Equation |
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36 | (1) |
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3.2.1.1 Bohm Sheath Criterion |
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37 | (1) |
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3.2.2 Child--Langmuir Law |
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37 | (1) |
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3.2.3 Collisional Sheaths |
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38 | (1) |
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39 | (1) |
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40 | (3) |
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40 | (1) |
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41 | (1) |
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3.4.3 Ambipolar Diffusion |
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41 | (1) |
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42 | (1) |
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3.4.4 Ambipolar Diffusion in a Magnetic Field |
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43 | (1) |
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43 | (1) |
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43 | (7) |
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43 | (1) |
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3.5.1.1 Townsend's First Ionization Coefficient |
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43 | (2) |
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45 | (1) |
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46 | (1) |
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46 | (2) |
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3.5.3 Secondary Electron Emission |
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48 | (1) |
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3.5.3.1 Townsend's Second Ionization Coefficient |
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48 | (1) |
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3.5.3.2 Effect of Electron Attachment |
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48 | (1) |
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3.5.3.3 Generalized Treatment of Secondary Processes |
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49 | (1) |
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3.5.4 Townsend Breakdown Criterion |
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49 | (1) |
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49 | (1) |
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3.6 Ionization Equilibrium |
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50 | (3) |
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3.6.1 Local Thermodynamic Equilibrium |
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50 | (1) |
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51 | (2) |
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53 | (20) |
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53 | (1) |
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4.2 Radiation from a Moving Point Charge |
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54 | (6) |
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4.2.1 Lienard--Wiechert Potentials |
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54 | (1) |
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4.2.2 Electric and Magnetic Fields of a Moving Charge |
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55 | (1) |
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4.2.3 Power Radiated by an Accelerating Point Charge |
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56 | (1) |
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56 | (1) |
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4.2.3.2 Relativistic, βv, βv Collinear |
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57 | (1) |
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4.2.3.3 Relativistic, βv, βv Orthogonal |
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57 | (2) |
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4.2.3.4 Relativistic, βv, βv General |
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59 | (1) |
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4.2.4 Frequency Spectrum of Radiation from an Accelerating Charge |
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59 | (1) |
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4.3 Cyclotron and Synchrotron Radiation |
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60 | (4) |
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4.3.1 Spectral Power Density |
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61 | (1) |
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4.3.2 Power in Each Harmonic |
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62 | (1) |
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4.3.3 Total Radiated Power |
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62 | (1) |
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4.3.4 βv, << 1: Cyclotron Emission |
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63 | (1) |
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4.3.5 βv, ~ 1: Synchrotron Emission |
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63 | (1) |
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64 | (1) |
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64 | (9) |
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65 | (1) |
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4.5.1.1 Thomson Scattering Cross-Section for Single Electron |
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66 | (2) |
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4.5.2 Incoherent Thomson Scattering from an Unmagnetized Plasma |
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68 | (1) |
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4.5.2.1 Nonrelativistic Plasma, κλD >> 1 |
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68 | (1) |
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4.5.2.2 Relativistic Plasma, κλD >> 1 |
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68 | (1) |
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4.5.3 Coherent Thomson Scattering from an Unmagnetized Plasma |
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69 | (1) |
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70 | (1) |
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4.5.5 Klein--Nishina Cross-Section |
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71 | (2) |
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73 | (16) |
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73 | (1) |
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74 | (1) |
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75 | (1) |
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5.4 Maxwellian Distribution |
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75 | (2) |
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5.4.1 Restrictions on the Maxwellian Distribution |
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76 | (1) |
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5.5 Relativistic Maxwellian |
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77 | (2) |
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79 | (2) |
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5.6.1 Equilibrium Solutions |
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80 | (1) |
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5.6.1.1 Case I: E = B = 0 |
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80 | (1) |
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5.6.1.2 Case II: E = 0, B = zB0(r) |
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80 | (1) |
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5.6.1.3 Case III: E = -x∂φ(x)/∂x, B = 0 |
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81 | (1) |
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5.6.1.4 Stability of Metaequilibria |
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81 | (1) |
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81 | (2) |
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5.7.1 Boltzmann Collision Term |
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81 | (1) |
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81 | (1) |
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5.7.2 Simplified Boltzmann Collision Term |
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82 | (1) |
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82 | (1) |
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82 | (1) |
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5.7.4 Fokker--Planck Potentials |
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83 | (1) |
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83 | (1) |
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83 | (6) |
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5.8.1 Generalized Distribution |
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83 | (1) |
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5.8.1.1 Thermal Motion Dominant: Maxwellian Distribution |
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84 | (1) |
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5.8.1.2 Thermal Motion Negligible: Druyvesteyn Distribution |
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85 | (1) |
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5.8.1.3 Harmonic E, Thermal Motion Negligible: Amended Druyvesteyn |
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85 | (1) |
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5.8.1.4 High Frequency Limit |
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85 | (2) |
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87 | (1) |
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87 | (2) |
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89 | (18) |
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89 | (1) |
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90 | (1) |
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90 | (4) |
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6.3.1 Elastic Collisions Between Charged Particles |
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90 | (1) |
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6.3.1.1 Binary Coulomb Collision |
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90 | (1) |
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6.3.1.2 Multiple Coulomb Collisions |
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91 | (1) |
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6.3.1.3 Relaxation Times for Maxwellian Distributions |
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92 | (2) |
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94 | (5) |
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95 | (1) |
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95 | (1) |
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6.4.1.2 Nonuniform E, Uniform B |
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95 | (1) |
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6.4.1.3 Nonuniform B, E = 0: Grad B Drift |
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95 | (1) |
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6.4.1.4 Nonuniform B, E = 0: Curvature Drift |
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96 | (1) |
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6.4.1.5 External Force Drift |
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96 | (1) |
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96 | (1) |
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6.4.1.7 Uniform B, Nonuniform Density: Diamagnetic Drift |
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96 | (1) |
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6.4.1.8 Motion in a Monochromatic Plane Wave |
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97 | (1) |
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6.4.2 Adiabatic Invariants |
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97 | (1) |
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97 | (1) |
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6.4.2.2 Longitudinal Invariant |
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97 | (1) |
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98 | (1) |
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6.5 Transport Coefficients |
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99 | (8) |
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6.5.1 Fully Ionized Plasma, Zero Magnetic Field, Krook Operator |
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99 | (1) |
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6.5.2 Lorentzian and Spitzer Conductivity |
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99 | (1) |
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6.5.2.1 Lorentz Conductivity |
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99 | (1) |
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6.5.2.2 Spitzer Conductivity |
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100 | (1) |
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6.5.3 Fully Ionized and Magnetized Plasma: Braginskii Coefficients |
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101 | (1) |
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6.5.3.1 Momentum Transfer from Ions to Electrons |
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102 | (1) |
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6.5.3.2 Electron Heat Flux |
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103 | (1) |
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103 | (1) |
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104 | (1) |
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6.5.4 Corrections to Braginskii Coefficients |
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104 | (1) |
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6.5.5 Equal Mass Plasma Transport |
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104 | (3) |
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107 | (22) |
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107 | (1) |
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7.2 Waves in Cold Plasmas |
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108 | (9) |
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108 | (1) |
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7.2.2 Cold Plasma Variable Dependencies |
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109 | (1) |
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7.2.3 Dielectric Tensor for a Cold Magnetized Plasma |
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110 | (1) |
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7.2.4 General Dispersion Relation |
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110 | (1) |
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7.2.4.1 Parallel Propagation |
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111 | (3) |
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7.2.4.2 Resonances and Cut-offs: Parallel Propagation |
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114 | (1) |
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7.2.4.3 Perpendicular Propagation |
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115 | (1) |
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7.2.4.4 Resonances and Cut-offs: Perpendicular Propagation |
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116 | (1) |
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116 | (1) |
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7.2.5 Equal-mass Cold Plasmas |
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116 | (1) |
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117 | (5) |
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7.3.1 Hydromagnetic Equations |
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117 | (1) |
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7.3.2 Single Fluid MHD Plasma |
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118 | (2) |
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7.3.3 Variable Dependencies in Ideal MHD |
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120 | (1) |
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7.3.4 General Dispersion Relation: Ideal MHD |
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120 | (1) |
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121 | (1) |
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7.3.4.2 Magnetosonic Modes |
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121 | (1) |
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122 | (7) |
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7.4.1 Dielectric Function for an Unmagnetized Plasma |
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122 | (1) |
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123 | (1) |
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123 | (1) |
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7.4.4 Dielectric Tensor for a Hot Plasma |
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124 | (2) |
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7.4.4.1 Parallel Propagation |
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126 | (1) |
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7.4.4.2 Perpendicular Propagation |
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127 | (2) |
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129 | (26) |
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129 | (1) |
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130 | (1) |
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130 | (1) |
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8.2.2 Cowling's Antidynamo Theorem |
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130 | (1) |
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8.2.3 Ferraro's Law of Isorotation |
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130 | (1) |
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8.2.4 Kelvin's Vorticity Theorem |
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131 | (1) |
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131 | (5) |
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132 | (2) |
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134 | (1) |
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8.3.3 Field-aligned Flows |
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135 | (1) |
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136 | (1) |
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136 | (1) |
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136 | (1) |
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136 | (2) |
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8.5 Neutral Gas/Magnetized Plasma Flows |
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138 | (1) |
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139 | (6) |
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140 | (1) |
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8.6.1.1 Relativistic Factors |
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140 | (1) |
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140 | (1) |
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140 | (1) |
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141 | (1) |
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8.6.1.5 Generalized Perveance |
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142 | (1) |
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142 | (1) |
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8.6.2.1 Cylindrical Beam with Zero Applied Magnetic Field |
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142 | (1) |
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8.6.2.2 Cylindrical Beam in Infinite Magnetic Field |
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143 | (2) |
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145 | (8) |
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146 | (1) |
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8.7.2 Shock Classification |
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147 | (1) |
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8.7.3 Shock Propagation Parallel to B1 |
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148 | (1) |
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8.7.3.1 Fast Pure Gas Shock (FM1) |
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148 | (1) |
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8.7.3.2 Switch-on Shock (FM2) |
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149 | (1) |
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8.7.3.3 Switch-on Shock (SM2) |
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149 | (1) |
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8.7.4 Shock Propagation Perpendicular to B1 |
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149 | (1) |
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8.7.4.1 Perpendicular Shock (FM1) |
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150 | (1) |
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8.7.4.2 Contact Discontinuity |
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150 | (1) |
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8.7.5 General Case: Fast Magnetic Shocks |
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151 | (1) |
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8.7.6 General Case: Slow Magnetic Shocks |
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152 | (1) |
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152 | (1) |
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153 | (2) |
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9 Equilibria and Instabilities |
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155 | (22) |
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155 | (1) |
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9.2 General Considerations |
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156 | (1) |
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157 | (5) |
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157 | (1) |
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157 | (1) |
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157 | (1) |
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9.3.1.3 Force-Free Equilibrium |
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158 | (1) |
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9.3.1.4 Taylor Equilibria |
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158 | (1) |
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9.3.2 Cylindrical Equilibria |
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158 | (1) |
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158 | (1) |
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9.3.2.2 Plasma Column Resonances |
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159 | (1) |
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9.3.2.3 Surface Waves on a Plasma Cylinder |
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160 | (2) |
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162 | (11) |
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9.4.1 Firehose Instability |
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161 | (1) |
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9.4.2 Gravitational Instability |
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162 | (2) |
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9.4.3 Kelvin-Helmholtz Instability |
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164 | (1) |
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9.4.4 Cylindrical Pinch Instabilities |
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164 | (1) |
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9.4.4.1 Sausage Instability: m = 0 |
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165 | (1) |
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9.4.4.2 Kink Instability: m ≠ 0 |
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166 | (1) |
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9.4.5 Generalized Pinch Instabilities |
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166 | (1) |
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167 | (2) |
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169 | (1) |
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9.4.5.3 Mercier Criterion |
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169 | (1) |
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9.4.6 Resistive Drift Wave Instability |
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169 | (1) |
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9.4.7 MHD Resistive Wall Instability |
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170 | (1) |
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9.4.8 MHD Resistive Tearing Mode |
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171 | (1) |
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9.4.9 Streaming Instability |
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172 | (1) |
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9.5 Kinetic Instabilities |
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173 | (4) |
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9.5.1 Bump-in-tail Instability |
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173 | (1) |
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174 | (1) |
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9.5.3 Ion-acoustic Instability |
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174 | (3) |
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177 | (20) |
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177 | (1) |
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178 | (5) |
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10.2.1 Cartesian Coordinates |
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178 | (1) |
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10.2.2 Cylindrical Coordinates |
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179 | (2) |
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10.2.3 Spherical Coordinates |
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181 | (2) |
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183 | (1) |
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183 | (1) |
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183 | (1) |
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184 | (1) |
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184 | (4) |
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184 | (1) |
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184 | (1) |
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185 | (1) |
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185 | (1) |
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185 | (1) |
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185 | (1) |
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185 | (1) |
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186 | (1) |
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10.4.9 Determinant and Inverse |
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186 | (1) |
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10.4.10 Partitioned Matrices |
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186 | (1) |
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10.4.11 Eigenvalues and Eigenvectors |
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187 | (1) |
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187 | (1) |
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188 | (1) |
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10.5 Eigenfunctions of the Curl Operator |
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188 | (1) |
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189 | (5) |
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10.6.1 Simple Constant Barrier |
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189 | (2) |
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10.6.2 Phase Integral Method |
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191 | (1) |
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192 | (2) |
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10.7 Plasma Dispersion Function |
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194 | (3) |
Appendix Guide to Notation |
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197 | (4) |
List of Figures |
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201 | (2) |
List of Tables |
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203 | (2) |
References |
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205 | (4) |
Index |
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209 | |