### 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 |
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Pages (from-to) | 1-11 |

Number of pages | 11 |

Journal | Progress of Theoretical Physics Supplement |

Issue number | 139 |

Publication status | Published - 2000 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

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

**Kinetic laws of clustering motions in N-body systems.** / Aizawa, Yoji.

Research output: Contribution to journal › Article

*Progress of Theoretical Physics Supplement*, no. 139, pp. 1-11.

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TY - JOUR

T1 - Kinetic laws of clustering motions in N-body systems

AU - Aizawa, Yoji

PY - 2000

Y1 - 2000

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0034373735&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034373735&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0034373735

SP - 1

EP - 11

JO - Progress of Theoretical Physics

JF - Progress of Theoretical Physics

SN - 0033-068X

IS - 139

ER -