## 抄録

We study inelastic collapse in a one-dimensional N-particle system when the system is driven from below under gravity. We investigate the hard-sphere limit of inelastic soft-sphere systems by numerical simulations to find how the collision rate per particle n_{coll} increases as a function of the elastic constant of the sphere k when the restitution coefficient e is kept constant. For systems with large enough Na≳^{3}20, we find three regimes in e depending on the behavior of n_{coll} in the hard-sphere limit: (i) an uncollapsing regime for 1≥e>e_{c1}, where n _{coll} converges to a finite value, (ii) a logarithmically collapsing regime for e_{c1}>e>e_{c2}, where n_{coll} diverges as n_{coll}∼logk, and (iii) a power-law collapsing regime for e_{c2}>e>0, where n_{coll} diverges as n _{coll}∼kα with an exponent α that depends on N. The power-law collapsing regime shrinks as N decreases and seems not to exist for the system with N=3, while, for large N, the size of the uncollapsing and the logarithmically collapsing regime decreases as e_{c1}≃1-2.6/N and e_{c2}≃1-3.0/N. We demonstrate that this difference between large and small systems exists already in the inelastic collapse without external drive and gravity.

本文言語 | 英語 |
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論文番号 | 042201 |

ジャーナル | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

巻 | 87 |

号 | 4 |

DOI | |

出版ステータス | 出版済み - 4 5 2013 |

## All Science Journal Classification (ASJC) codes

- 統計物理学および非線形物理学
- 統計学および確率
- 凝縮系物理学