Scaling of impact fragmentation near the critical point

Details Scaling of impact fragmentation near the critical point Scaling of impact fragmentation near the critical point

2003-07-31

arxiv.org/abs/cond-mat/0307756v2

Phys. Rev. E 68, 046105 (2003)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 6 figures

Scientific paper

10.1103/PhysRevE.68.046105

We investigated two-dimensional brittle fragmentation with a flat impact experimentally, focusing on the low impact energy region near the fragmentation-critical point. We found that the universality class of fragmentation transition disagreed with that of percolation. However, the weighted mean mass of the fragments could be scaled using the pseudo-control parameter multiplicity. The data for highly fragmented samples included a cumulative fragment mass distribution that clearly obeyed a power-law. The exponent of this power-law was 0.5 and it was independent of sample size. The fragment mass distributions in this regime seemed to collapse into a unified scaling function using weighted mean fragment mass scaling. We also examined the behavior of higher order moments of the fragment mass distributions, and obtained multi-scaling exponents that agreed with those of the simple biased cascade model.

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