Computational Plasma Physics: With Applications To Fusion And Astrophysics (Frontiers in Physics)

Cover
Half Title
Title Page
Copyright Page
EDITOR\'S FOREWORD
FOREWORD
PREFACE
Table of Contents
Chapter 1: Introduction
	1.1 Computer and Computer Simulation
	1.2 Dynamical Systems of Many Degrees of Freedom
	1.3 Particle Simulation and Finite-Size Particles
	1.4 Limitations on Simulation—Future Directions
	1.5 Hierarchical Nature and Simulation Methods
Chapter 2: Finite Size Particle Method
	2.1 Gridless Theory of a Finite-Size Particle System
	2.2 Dispersion Relation
	2.3 Collisional Effects Due to Finite-Size Particles
	2.4 Fluctuations
Chapter 3: Time Integration
	3.1 Euler\'s First-Order Scheme
	3.2 Leapfrog Scheme
	3.3 Biasing Scheme
	3.4 Runge-Kutta Method
	3.5 Diffusion Equation
Chapter 4: Grid Method
	4.1 Grid Method and the Dipole Expansion
	4.2 Area Weighting Scheme
	4.3 Examples of Electrostatic Codes
	4.4 Spatially Periodic Systems
	4.5 Consequences of the Grid for the Vlasov Theory of Plasmas
	4.6 Smoother Grid Assignment
Chapter 5: Electromagnetic Model
	5.1 Electromagnetic Particle Simulation Code
	5.2 Analogy Between Electrodynamics and General Relativity
	5.3 Absorbing Boundary for the Electromagnetic Model
	5.4 Magnetoinductive Particle Model
	5.5 Method of Relaxation
	5.6 Hyperbolic, Parabolic, and Elliptic Equations
	5.7 Classification of Second-Order P.D.E.
Chapter 6: Magnetohydrodynamic Model of Plasmas
	6.1 Difficulty with the Advective Term
	6.2 Lax Scheme
	6.3 Lax-Wendroff Scheme
	6.4 Leapfrog Scheme
	6.5 Flux-Corrected Transport Method
	6.6 Magnetohydrodynamic Particle Model
	6.7 Reduced Magnetohydrodynamic Equations
	6.8 Spectral Method
	6.9 Semi-Implicit Method
	6.10 Upwind Differencing
	6.11 Discussion of Various Methods
Chapter 7: Guiding-Center Method
	7.1 E x B Drift
	7.2 Guiding-Center Model
	7.3 Numerical Methods for Guiding-Center Plasmas
	7.4 Polarization Drift
	7.5 Geostrophic Flows
	7.6 Finite Larmor Radius Effects
	7.7 Gyrokinetic Model
	7.8 Guiding-Center Magnetoinductive Model
Chapter 8: Hybrid Models of Plasmas
	8.1 Quasineutral Electrostatic Model
	8.2 Quasineutral Electromagnetic Model
	8.3 Particle Electron-Fluid Ion Model
Chapter 9: Implicit Particle Codes
	9.1 First Order Accurate Methods
	9.2 Implicit Time Filtering
	9.3 Decentered Lorentz Pusher
	9.4 Techniques for Direct Implicit Advancing
	9.5 Direct Implicit Electromagnetic Algorithm
	9.6 Gyrokinetic Model (Revisited)
	9.7 Large Time Scale—Large Spatial Scale Simulation
Chapter 10: Geometry
	10.1 MHD Particle Code
	10.2 Toroidal Corrections
	10.3 Electrostatic Particle Code
	10.4 Method of Flux Coordinates
Chapter 11: Information and Computation
	11.1 The Future of Computers
	11.2 Computation on a Cellular Automaton
	11.3 Information Processing
	11.4 Information and Entropy
	11.5 Correlation Analysis and Maximum Entropy
Chapter 12: Interaction Between Radiation and a Plasma
	12.1 Radiation from Particle Beams
	12.2 Laser Plasma Accelerators
	12.3 Ion Cyclotron Resonance Heating of a Plasma
Chapter 13: Drift Waves and Plasma Turbulence
	13.1 Drift Wave Instabilities
	13.2 Shear Flow Instability
	13.3 Heat Convection Instability
Chapter 14: Magnetic Reconnection
	14.1 Collisionless Tearing Instabilities
	14.2 Linear Theory of Driven Reconnection
	14.3 Fast Reconnection
	14.4 Coalescence Instability
	14.5 Theory of Explosive Coalescence and Comparison with Simulation
	14.6 Current Loop Coalescence Model of Solar Flares
	14.7 Reconnection-Driven Oscillations in Dwarf Nova Disks
Chapter 15: Transport
	15.1 Monte-Carlo Method
	15.2 Fokker-Planck Model
	15.3 Particle Transport for Energetic Particles
	15.4 Mapping Methods
Epilogue: Numerical Laboratory
Subject Index
Author Index
Credits