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Stable distributions in fragmentation processes

Author

Listed:
  • Rodgers, G.J.
  • Hassan, M.K.

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

Suggested Citation

  • Rodgers, G.J. & Hassan, M.K., 1996. "Stable distributions in fragmentation processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 233(1), pages 19-30.
    • Handle: RePEc:eee:phsmap:v:233:y:1996:i:1:p:19-30
    DOI: 10.1016/S0378-4371(96)00234-8
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    References listed on IDEAS

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    1. Redner, S., 1990. "Superdiffusion in random velocity fields," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(1), pages 551-560.
    2. Lederer, Bruce E., 1978. "Protecting Shell Eggs Between Packing Plant And Supermarket," Journal of Food Distribution Research, Food Distribution Research Society, vol. 9(2), pages 1-5, June.
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    Cited by:

    1. Hernandez, Gonzalo & Salinas, Luis & Avila, Andres, 2006. "n-ary fragmentation model with nearest point flaw and maximal net force fracture," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(2), pages 565-572.

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