## Abstract

An analytical model of two-dimensional collisionless reconnection in an X-type magnetic geometry is presented. The conversion of magnetic energy to the kinetic energy of accelerated ions takes place in the vicinity of the neutral line. The structure of this dissipation region and the magnetic energy release rate have been investigated both for linear and nonlinear regimes of collisionless reconnection. A simple model of global reconnection flow has been constructed, assuming an incompressible ideal magnetohydrodynamics approximation outside the dissipation region. The corresponding scaling for the external Mach number (M_{e}) is found, which predicts a maximum reconnection rate M_{e}=1/2R̃_{m} ^{−1/2}, where R̃_{m}≊(L_{e}/λ_{i})^{2}≫1 is the effective magnetic Reynolds number for collisionless reconnection (L_{e} is the global size of the system and λ_{i} is the ion inertial skin depth).

Original language | English |
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Pages (from-to) | 3169-3178 |

Number of pages | 10 |

Journal | Physics of Plasmas |

Volume | 2 |

Issue number | 8 |

DOIs | |

Publication status | Published - 1995 |

## Keywords

- ALFVEN WAVES
- COLLISIONLESS PLASMA
- EARTH MAGNETOSPHERE
- ENERGY LOSSES
- MACH NUMBER
- MAGNETIC RECONNECTION
- MAGNETOHYDRODYNAMICS
- REYNOLDS NUMBER
- SCALING LAWS