Minimal fragmentation problem
Statistical Mechanics
2015-05-30 v1 Other Condensed Matter
Abstract
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.
Cite
@article{arxiv.1109.2006,
title = {Minimal fragmentation problem},
author = {Fernando Parisio and Laercio Dias},
journal= {arXiv preprint arXiv:1109.2006},
year = {2015}
}
Comments
to appear as a rapid communication in Phys. Rev. E