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.

• Received 25 July 1994

DOI:https://doi.org/10.1103/PhysRevE.50.3502