Scaling of impact fragmentation near the critical point
| dc.creator | Katsuragi, Hiroaki | |
| dc.creator | Sugino, Daisuke | |
| dc.creator | Honjo, Haruo | |
| dc.date | 2003-07-31 | |
| dc.date | 2003-11-09 | |
| dc.date.accessioned | 2026-07-07T02:52:41Z | |
| dc.date.available | 2026-07-07T02:52:41Z | |
| dc.description | 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. | |
| dc.description | 6 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0307756 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0307756 | |
| dc.identifier | Phys. Rev. E 68, 046105 (2003) | |
| dc.identifier | doi:10.1103/PhysRevE.68.046105 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/21931 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Adaptation and Self-Organizing Systems | |
| dc.subject | Geophysics | |
| dc.title | Scaling of impact fragmentation near the critical point | |
| dc.type | text |