Scaling and Multiscaling in Models of Fragmentation

P. L. Krapivsky; E. Ben-Naim

doi:10.1103/physreve.50.3502

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Scaling and Multiscaling in Models of Fragmentation

P. L. Krapivsky·E. Ben-Naim

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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 random scission model and show 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.

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P. L. Krapivsky, E. Ben-Naim. 1994-07-20. Scaling and Multiscaling in Models of Fragmentation. https://doi.org/10.1103/physreve.50.3502

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