Scaling and Multiscaling in Models of Fragmentation

Details Scaling and Multiscaling in Models of Fragmentation Scaling and Multiscaling in Models of Fragmentation

1994-07-20

arxiv.org/abs/cond-mat/9407084v1

Phys. Rev. E 50, 3502 (1994)

Physics

Condensed Matter

15 pages, LaTeX

Scientific paper

10.1103/PhysRevE.50.3502

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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