Minimal fragmentation problem

Details Minimal fragmentation problem Minimal fragmentation problem

2011-09-09

arxiv.org/abs/1109.2006v1

Phys. Rev. E 84, 035101(R) (2011)

Physics

Condensed Matter

Statistical Mechanics

to appear as a rapid communication in Phys. Rev. E

Scientific paper

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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