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arXiv 1109.2006cond-mat.stat-mechcond-mat.other
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最小分裂问题

Minimal fragmentation problem

Fernando Parisio, Laercio Dias

摘要:

作为一个替代的范式碎裂的问题,一个单一的对象粉碎成大量的碎片,我们调查了大量的相同的机构,每一个随机分为两个碎片。虽然保留了通常碎裂的一些关键特征,但这种最低限度的方法允许对碎片的形状丰度和质量分布进行封闭的分析结果,并具有强大的幂律制度。所有结果都与数值模拟进行了比较。

英文摘要:

As an alternative to the paradigmatic fragmentation problem of a single object crushed into a great number of pieces, we survey a large collection of identical bodies, each one randomly split into two fragments only. While some key features of usual fragmentation are preserved, this minimal approach allows for closed analytical results on both, shape abundances and mass distributions for the fragments, with robust power-law regimes. All the results are compared to numerical simulations.

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