ar X iv : c on d - m at / 9 40 70 84 v 1 2 0 Ju l 1 99 4 Scaling and Multiscaling in Models of Fragmentation
نویسندگان
چکیده
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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