Keywords:
Plasma (Ionized gases).
;
Electronic books.
Description / Table of Contents:
A comprehensive introduction for advanced undergraduate and graduate students. This text covers basic theory, and develops it to illustrate some of the specialised topics in current physics, applied mathematics, astrophysics and engineering. It includes exercises throughout, and will also appeal to research physicists, nuclear and electrical engineers.
Type of Medium:
Online Resource
Pages:
1 online resource (546 pages)
Edition:
1st ed.
ISBN:
9780511205637
URL:
https://ebookcentral.proquest.com/lib/geomar/detail.action?docID=221122
DDC:
530.4/4
Language:
English
Note:
Cover -- Half-title -- Title -- Copyright -- Contents -- Preface -- Introduction -- 1.1 Introduction -- 1.2 Thermonuclear fusion -- 1.2.1 The Lawson criterion -- 1.2.2 Plasma containment -- 1.3 Plasmas in space -- 1.4 Plasma characteristics -- 1.4.1 Collisions and the plasma parameter -- 2 Particle orbit theory -- 2.1 Introduction -- 2.2 Constant homogeneous magnetic field -- 2.2.1 Magnetic moment and plasma diamagnetism -- 2.3 Constant homogeneous electric and magnetic fields -- 2.3.1 Constant non-electromagnetic forces -- 2.4 Inhomogeneous magnetic field -- 2.4.1 Gradient drift -- 2.4.2 Curvature drift -- 2.5 Particle drifts and plasma currents -- 2.6 Time-varying magnetic field and adiabatic invariance -- 2.6.1 Invariance of the magnetic moment in an inhomogeneous field -- 2.7 Magnetic mirrors -- 2.8 The longitudinal adiabatic invariant -- 2.8.1 Mirror traps -- 2.9 Magnetic flux as an adiabatic invariant -- 2.10 Particle orbits in tokamaks -- 2.11 Adiabatic invariance and particle acceleration -- 2.12 Polarization drift -- 2.13 Particle motion at relativistic energies -- 2.13.1 Motion in a monochromatic plane-polarized electromagnetic wave -- 2.14 The ponderomotive force -- 2.15 The guiding centre approximation: a postscript -- 3 Macroscopic equations -- 3.1 Introduction -- 3.2 Fluid description of a plasma -- 3.3 The MHD equations -- 3.3.1 Resistive MHD -- 3.3.2 Ideal MHD -- 3.4 Applicability of the MHD equations -- 3.4.1 Anisotropic plasmas -- 3.4.2 Collisionless MHD -- 3.5 Plasma wave equations -- 3.5.1 Generalized Ohm's law -- 3.6 Boundary conditions -- 4 Ideal magnetohydrodynamics -- 4.1 Introduction -- 4.2 Conservation relations -- 4.3 Static equilibria -- 4.3.1 Cylindrical configurations -- 4.3.2 Toroidal configurations -- 4.3.3 Numerical solution of the Grad-Shafranov equation -- 4.3.4 Force-free fields and magnetic helicity.
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4.4 Solar MHD equilibria -- 4.4.1 Magnetic buoyancy -- 4.5 Stability of ideal MHD equilibria -- 4.5.1 Stability of a cylindrical plasma column -- 4.6 The energy principle -- 4.6.1 Finite element analysis of ideal MHD stability -- 4.7 Interchange instabilities -- 4.7.1 Rayleigh-Taylor instability -- 4.7.2 Pressure-driven instabilities -- 4.8 Ideal MHD waves -- 5 Resistive magnetohydrodynamics -- 5.1 Introduction -- 5.2 Magnetic relaxation and reconnection -- 5.2.1 Driven reconnection -- 5.3 Resistive instabilities -- 5.3.1 Tearing instability -- 5.3.2 Driven resistive instabilities -- 5.3.3 Tokamak instabilities -- 5.4 Magnetic field generation -- 5.4.1 The kinematic dynamo -- 5.5 The solar wind -- 5.5.1 Interaction with the geomagnetic field -- 5.6 MHD shocks -- 5.6.1 Shock equations -- 5.6.2 Parallel shocks -- 5.6.3 Perpendicular shocks -- 5.6.4 Oblique shocks -- 5.6.5 Shock thickness -- 6 Waves in unbounded homogeneous plasmas -- 6.1 Introduction -- 6.2 Some basic wave concepts -- 6.2.1 Energy flux -- 6.2.2 Dispersive media -- 6.3 Waves in cold plasmas -- 6.3.1 Field-free plasma (B = 0) -- 6.3.2 Parallel propagation… -- 6.3.3 Perpendicular propagation… -- 6.3.4 Wave normal surfaces -- 6.3.5 Dispersion relations for oblique propagation -- Low frequency regime… -- Near the ion cyclotron resonance… -- High frequency regime -- Quasi-parallel… -- Quasi-perpendicular… -- 6.4 Waves in warm plasmas -- 6.4.1 Longitudinal waves -- 6.4.2 General dispersion relation -- 6.5 Instabilities in beam-plasma systems -- 6.5.1 Two-stream instability -- 6.5.2 Beam-plasma instability -- 6.6 Absolute and convective instabilities -- 6.6.1 Absolute and convective instabilities in systems with weakly coupled modes -- 7 Collisionless kinetic theory -- 7.1 Introduction -- 7.2 Vlasov equation -- 7.3 Landau damping -- 7.3.1 Experimental verification of Landau damping.
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7.3.2 Landau damping of ion acoustic waves -- 7.4 Micro-instabilities -- 7.4.1 Kinetic beam-plasma and bump-on-tail instabilities -- 7.4.2 Ion acoustic instability in a current-carrying plasma -- 7.5 Amplifying waves -- 7.6 The Bernstein modes -- 7.7 Inhomogeneous plasma -- 7.8 Test particle in a Vlasov plasma -- 7.8.1 Fluctuations in thermal equilibrium -- 8 Collisional kinetic theory -- 8.1 Introduction -- 8.2 Simple transport coefficients -- 8.2.1 Ambipolar diffusion -- 8.2.2 Diffusion in a magnetic field -- 8.3 Neoclassical transport -- 8.4 Fokker-Planck equation -- 8.5 Collisional parameters -- 8.6 Collisional relaxation -- 9 Plasma radiation -- 9.1 Introduction -- 9.2 Electrodynamics of radiation fields -- 9.2.1 Power radiated by an accelerated charge -- 9.2.2 Frequency spectrum of radiation from an accelerated charge -- 9.3 Radiation transport in a plasma -- 9.4 Plasma bremsstrahlung -- 9.4.1 Plasma bremsstrahlung spectrum: classical picture -- 9.4.2 Plasma bremsstrahlung spectrum: quantum mechanical picture -- 9.4.3 Recombination radiation -- 9.4.4 Inverse bremsstrahlung: free-free absorption -- 9.4.5 Plasma corrections to bremsstrahlung -- 9.4.6 Bremsstrahlung as plasma diagnostic -- 9.5 Electron cyclotron radiation -- 9.5.1 Plasma cyclotron emissivity -- 9.5.2 ECE as tokamak diagnostic -- 9.6 Synchrotron radiation -- 9.6.1 Synchrotron radiation from hot plasmas -- 9.6.2 Synchrotron emission by ultra-relativistic electrons -- 9.7 Scattering of radiation by plasmas -- 9.7.1 Incoherent Thomson scattering -- 9.7.2 Electron temperature measurements from Thomson scattering -- 9.7.3 Effect of a magnetic field on the spectrum of scattered light -- 9.8 Coherent Thomson scattering -- 9.8.1 Dressed test particle approach to collective scattering -- 9.9 Coherent Thomson scattering: experimental verification.
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9.9.1 Deviations from the Salpeter form factor for the ion feature: impurity ions -- 9.9.2 Deviations from the Salpeter form factor for the ion feature: collisions -- 10 Non-linear plasma physics -- 10.1 Introduction -- 10.2 Non-linear Landau theory -- 10.2.1 Quasi-linear theory -- 10.2.2 Particle trapping -- 10.2.3 Particle trapping in the beam-plasma instability -- 10.2.4 Plasma echoes -- 10.3 Wave-wave interactions -- 10.3.1 Parametric instabilities -- 10.4 Zakharov equations -- 10.4.1 Modulational instability -- 10.5 Collisionless shocks -- 10.5.1 Shock classification -- 10.5.2 Perpendicular, laminar shocks -- Linear wave solution -- Non-linear wave solutions -- Shock solutions -- 10.5.3 Particle acceleration at shocks -- 11 Aspects of inhomogeneous plasmas -- 11.1 Introduction -- 11.2 WKBJ model of inhomogeneous plasma -- 11.2.1 Behaviour near a cut-off -- 11.2.2 Plasma reflectometry -- 11.3 Behaviour near a resonance -- 11.4 Linear mode conversion -- 11.4.1 Radiofrequency heating of tokamak plasma -- 11.5 Stimulated Raman scattering -- 11.5.1 SRS in homogeneous plasmas -- 11.5.2 SRS in inhomogeneous plasmas -- 11.5.3 Numerical solution of the SRS equations -- 11.6 Radiation from Langmuir waves -- 11.7 Effects in bounded plasmas -- 11.7.1 Plasma sheaths -- 11.7.2 Langmuir probe characteristics -- 12 The classical theory of plasmas -- 12.1 Introduction -- 12.2 Dynamics of a many-body system -- 12.2.1 Cluster expansion -- 12.3 Equilibrium pair correlation function -- 12.4 The Landau equation -- 12.5 Moment equations -- 12.5.1 One-fluid variables -- 12.6 Classical transport theory -- 12.6.1 Closure of the moment equations -- 12.6.2 Derivation of the transport equations -- 12.6.3 Classical transport coefficients -- 12.7 MHD equations -- 12.7.1 Resistive MHD -- Appendix 1 Numerical values of physical constants and plasma parameters.
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Physical constants -- Plasma parameters -- Appendix 2 List of symbols -- Roman alphabet -- Greek alphabet -- References -- Index.
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