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Book Cover
E-book
Author Walker, A. D. M

Title Magnetohydrodynamic Waves in Geospace : the Theory of ULF Waves and their Interaction with Energetic Particles in the Solar-Terrestrial Environment
Published London : CRC Press LLC, 2004

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Description 1 online resource (570 pages)
Series Series in Plasma Physics Ser
Series in Plasma Physics Ser
Contents 3.2.4 Parallel drift due to magnetic field shear3.2.5 The drift velocity of the guiding centre; 3.3 General motion in a varying field; 3.3.1 Equations of motion; 3.4 Theory of motion in a slowly varying field-the guiding-centre approximation; 3.4.1 Slowly varying fields; 3.4.2 The particle phase; 3.4.3 The averaging process; 3.4.4 Equations of motion for v and v‖; 3.4.5 The magnetic moment, an adiabatic invariant; 3.4.6 Drift velocity-the motion of the guiding centre; 3.4.7 The energy equation; 3.5 Motion in a dipole field-second and third adiabatic invariants and constants of the motion
Cover; Half Title; Series Page; Title Page; Copyright Page; Contents; Preface; Part 1 Fundamentals of MHD Wave Theory; 1. Basic ideas of thermodynamics and electrodynamics; 1.1 Introduction; 1.2 Elementary ideas of thermodynamics and kinetic theory; 1.2.1 Equation of state of an ideal gas; 1.2.2 Comparison with kinetic theory; 1.2.3 First law of thermodynamics; 1.2.4 Second law of thermodynamics; 1.2.5 Ratio of specific heats of a gas; 1.2.6 State variables and Maxwell's relations; 1.2.7 Rate of change of entropy in reversible processes; 1.2.8 Specific energy, entropy, and enthalpy
1.3 Maxwell's equations in the presence of currents and charges1.4 The Lorentz force law; 1.5 Low-velocity approximation to Maxwell's equations-Ampére's law; 1.6 Motion of charged particles in uniform electric and magnetic fields; 1.6.1 Equation of motion; 1.6.2 Cyclotron motion; 1.6.3 Electric field drift; 1.6.4 Drifts due to an external force; 1.7 Electromagnetic energy; 1.7.1 Joule energy transfer; 1.7.2 Physical interpretation of the flux vector; 1.8 Electromagnetic momentum; 1.9 Summary; 2. The magnetohydrodynamic approximation; 2.1 Introduction
2.2 Fluid equations for the particle species2.2.1 The continuity equation; 2.2.2 The momentum equation; 2.2.3 Adiabatic law; 2.3 Characteristic lengths and frequencies; 2.3.1 The Debye length; 2.3.2 The plasma frequency; 2.3.3 The electron and ion gyrofrequencies; 2.3.4 Characteristic speeds; 2.3.5 Parameters for approximation; 2.4 The MHD equations for a fully ionized plasma; 2.4.1 MHD variables; 2.4.2 Continuity equation; 2.4.3 Momentum equation; 2.4.4 Adiabatic law; 2.4.5 Generalized Ohm's law; 2.4.6 Reduced MHD equations; 2.5 Gravitation; 2.6 Frozen-in magnetic fields
2.7 Losses within plasmas2.7.1 Resistive effects; 2.7.2 Viscous effects; 2.8 Partially ionized plasma; 2.8.1 Current density in a partially ionized plasma; 2.8.2 The conductivity tensor; 2.9 Conservation laws; 2.9.1 MHD energy conservation; 2.9.2 Momentum conservation; 2.10 Summary; 3. Single-particle motion in electromagnetic fields; 3.1 Introduction; 3.2 Guiding-centre motion-heuristic approach; 3.2.1 Qualitative description of guiding-centre motion; 3.2.2 Drift due to a magnetic field gradient; 3.2.3 Drifts due to the variation of the zero-order drift velocity
Notes 3.5.1 Natural periodicities
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Form Electronic book
ISBN 9781420034004
1420034006