### Abstract

A kinetic theory of cluster formation is developed based on the recent numerical results of N-body systems. First, a stability criterion for equilibrium clusters is formulated in terms of residence time distributions. Secondly, the Negative-Weibull distribution is derived theoretically in a certain scaling hypothesis under a free particle approximation. Thirdly, the origin of the Universal Long Tail is explained from a general feature of nearly integrable hamiltonian dynamics. Lastly, the collapse of unstable cluster is briefly discussed.

Original language | English |
---|---|

Pages (from-to) | 1-11 |

Number of pages | 11 |

Journal | Progress of Theoretical Physics Supplement |

Issue number | 139 |

Publication status | Published - 2000 |

### ASJC Scopus subject areas

- Physics and Astronomy(all)

## Fingerprint Dive into the research topics of 'Kinetic laws of clustering motions in N-body systems'. Together they form a unique fingerprint.

## Cite this

Aizawa, Y. (2000). Kinetic laws of clustering motions in N-body systems.

*Progress of Theoretical Physics Supplement*, (139), 1-11.