Scaling and multiscaling in models of fragmentation
- 1 November 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 50 (5) , 3502-3507
- https://doi.org/10.1103/physreve.50.3502
Abstract
We introduce a simple geometric model which describes the kinetics of fragmentation of d-dimensional objects. In one dimension, our model coincides with the randon scission model and shows a simple scaling behavior in the long-time limit. For d>1, the volume of the fragments is characterized by a single scale 1/t, while other geometric properties such as the length are characterized by an infinite number of length scales and thus exhibit multiscaling.Keywords
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