Stable distributions in fragmentation processes

✍ Scribed by G.J. Rodgers; M.K. Hassan

• Book ID: 104341340
• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 488 KB
• Volume: 233
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/s0378-4371(96)00234-8

✦ Synopsis

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 on the fragmentation process. Various features of these models are compared with those of conventional fragmentation models.