Stable distribution in fragmentation processes

Physics – Condensed Matter

Scientific paper

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12 pages, 2 Postscript figures. To get Figures e-mail to G.J. Rodgers@Brunel.ac.uk

Scientific paper

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.

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