## Plasma Physics via Computer SimulationDivided into three main parts, the book guides the reader to an understanding of the basic concepts in this fascinating field of research. Part 1 introduces you to the fundamental concepts of simulation. It examines one-dimensional electrostatic codes and electromagnetic codes, and describes the numerical methods and analysis. Part 2 explores the mathematics and physics behind the algorithms used in Part 1. In Part 3, the authors address some of the more complicated simulations in two and three dimensions. The book introduces projects to encourage practical work Readers can download plasma modeling and simulation software — the ES1 program — with implementations for PCs and Unix systems along with the original FORTRAN source code. p-BodyText2Now available in paperback, Plasma Physics via Computer Simulation is an ideal complement to plasma physics courses and for self-study. |

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### Contents

Overall View of a One Dimensional | 7 |

Introduction to the Numerical Methods Used | 55 |

Projects for ESI | 81 |

A Id Electromagnetic Program EMI | 133 |

Projects for EM 1 | 145 |

Theory | 153 |

EnergyConserving Simulation Models | 213 |

Multipole Models | 235 |

Design Considerations | 303 |

Electromagnetic Programs | 351 |

Particle Loading Injection Boundary Conditions | 387 |

Appendices | 417 |

B Compensating and Attenuating Functions | 431 |

Digital Filtering in Id and 2d | 437 |

Direct Finite Difference Equation Solutions | 443 |

453 | |

### Common terms and phrases

accuracy algorithm aliasing amplitude average beam Birdsall boundary conditions calculation cell Chapter charge density cold plasma damping Debye Debye length Debye shielding derivative difference equations differencing dimension dipole dispersion relation drift electric field electromagnetic electron electrostatic energy conservation equation of motion error field energy finite finite-difference fluctuations force Fourier transform frequency function given grid points grid quantities harmonic Hence Hockney initial instability integration interaction interpolation ions kinetic energy Landau damping Langdon leap-frog linear weighting magnetic field Maxwell's equations Maxwellian method mode momentum conservation multipole nonlinear nonphysical number of particles obtained parameters particle moves particle positions particle simulation periodic perturbation phase space phase velocity physics plasma oscillations plasma physics plots Poisson Poisson's equation potential Problem scheme Section shown in Figure smoothing solution spatial grid step subroutine theory thermal tion values velocity distribution wave wavelengths zero zero-order

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