## Magnetic Reconnection in PlasmasThis book provides a comprehensive introduction to the theory of magnetic field line reconnection, now a major subject in plasma physics. Biskamp focuses on the various reconnection mechanisms dominating magnetic processes under the different plasma conditions encountered in astrophysical systems and in laboratory fusion devices. The book consists of two major parts: the first deals with the classical resistive approach, while the second presents an overview of weakly collisional or collisionless plasmas. Applications primarily concern astrophysical phenomena and dynamo theory, with emphasis on the solar and geodynamo, as well as magnetospheric substorms--the most spectacular reconnection events in the magnetospheric plasma. The theoretical procedures and results also apply directly to reconnection processes in laboratory plasmas, in particular the sawtooth phenomenon in tokamaks. The book will be of value to graduate students and researchers interested in magnetic processes both in astrophysical and laboratory plasma physics. |

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### Contents

Magnetospheric substorms 320 | 5 |

Microscopic theory of magnetic reconnection 258 | 8 |

Basic kinematic concepts | 10 |

Current sheets | 29 |

Resistive instabilities | 81 |

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### Common terms and phrases

Alfvén velocity Alfvén wave approximation assume behavior Biskamp boundary conditions chapter collisionless compressible consider const continuity equation corresponding current density current profile current sheet curvature cylindrical derivative diffusion layer diffusion region driven reconnection dynamics dynamo theory effect equilibrium field lines finite flow fluid flux tube give rise global gradient growth rate helical flux Hence ideal illustrated in fig incompressible inertia island width Kelvin–Helmholtz instability linear macroscopic current sheet magnetic configuration magnetic field magnetic flux magnetic helicity magnetic islands magnetic nulls magnetic reconnection magnetic topology magnetospheric MHD equations motion neutral point nonlinear evolution numerical simulations obtained Ohm's law parallel parameters perpendicular perturbation Petschek's phase velocity poloidal pressure properties reconnection process reconnection rate resistive current sheet resistive kink mode resistive MHD resonant surfaces ribbon scaling separatrix shear similarity solution singular stability stationary structure symmetric term tokamak tokamak plasma topology toroidal torus twist upstream valid vanishes viscosity vorticity X-point