Stable distribution in fragmentation processes
arXiv:cond-mat/9604086 · doi:10.1016/S0378-4371(96)00234-8
Abstract
We introduce three models of fragmentation in which the largest fragment in the system can be broken at each time step with a fixed probability, p. We solve these models exactly in the long time limit to reveal stable time invariant (scaling) solutions which depend on p and the precise details of the fragmentation process. Various features of these models are compared with those of conventional fragmentation models.
12 pages, 2 Postscript figures. To get Figures e-mail to G.J. [email protected]