### Abstract

We study the nonlinear evolution of the resistive tearing mode in slab geometry in two dimensions. We show that, in the strongly driven regime (large Δ′), a collapse of the X point occurs once the island width exceeds a certain critical value ∼1/Δ′. A current sheet is formed and the reconnection is exponential in time with a growth rate ∞η1/2, where η is the resistivity. If the aspect ratio of the current sheet is sufficiently large, the sheet can itself become tearing-mode unstable, giving rise to secondary islands, which then coalesce with the original island. The saturated state depends on the value of Δ′. For small Δ′, the saturation amplitude is ∞Δ′ and quantitatively agrees with the theoretical prediction. If Δ′ is large enough for the X-point collapse to have occurred, the saturation amplitude increases noticeably and becomes independent of Δ′.

Original language | English (US) |
---|---|

Article number | 235003 |

Journal | Physical review letters |

Volume | 95 |

Issue number | 23 |

DOIs | |

State | Published - Dec 2 2005 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

## Fingerprint Dive into the research topics of 'X-point collapse and saturation in the nonlinear tearing mode reconnection'. Together they form a unique fingerprint.

## Cite this

*Physical review letters*,

*95*(23), [235003]. https://doi.org/10.1103/PhysRevLett.95.235003