Scaling Theory of Fragmentation
- 13 June 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 60 (24) , 2450-2453
- https://doi.org/10.1103/physrevlett.60.2450
Abstract
We develop a scaling theory for linear fragmentation processes, for general breakup kernels characterized by a homogeneity index . We discuss the existence of scaling, and show that the scaled cluster-size distribution generally decays with the scaled mass as as . For small , approaches the log-normal form, , if the kernel has a small-size cutoff, and a power-law form in the absence of a cutoff. We also show that leads to a shattering transition. Finally, we outline the essential features of a nonlinear fragmentation process.
Keywords
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