A Statistical Model of Aggregates Fragmentation
Abstract
A statistical model of fragmentation of aggregates is proposed, based on the stochastic propagation of cracks through the body. The propagation rules are formulated on a lattice and mimic two important features of the process -- a crack moves against the stress gradient and its energy depletes as it grows. We perform numerical simulations of the model for two-dimensional lattice and reveal that the mass distribution for small and intermediate-size fragments obeys a power-law, F(m)\propto m^(-3/2), in agreement with experimental observations. We develop an analytical theory which explains the detected power-law and demonstrate that the overall fragment mass distribution in our model agrees qualitatively with that, observed in experiments.
Cite
@article{arxiv.1106.2721,
title = {A Statistical Model of Aggregates Fragmentation},
author = {F. Spahn and E. V. Neto and A. H. F. Guimaraes and A. N. Gorban and N. V. Brilliantov},
journal= {arXiv preprint arXiv:1106.2721},
year = {2014}
}
Comments
4 pages, submitted to a peer-reviewed journal