Shattering transition in a multivariable fragmentation model
Journal Article
·
· Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)
- Laboratoire de Physique Theorique des Liquides, Universite Pierre et Marie Curie, 4, place Jussieu, 75252 Paris Cedex 05 (France)
We introduce a linear fragmentation model in which the fragments are described by two correlated variables [ital x] and [ital y], and for the power law breakup rate [ital a]([ital x],[ital y])=[ital x][sup [alpha]][ital y][sup [beta]], we derive its exact solution. The large fluctuations of the additional variable prevent any mean-field reduction to a one-variable model. New features, such as shattering with power law decay of the mass, are obtained.
- OSTI ID:
- 6644994
- Journal Information:
- Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States), Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States) Vol. 51:2; ISSN PLEEE8; ISSN 1063-651X
- Country of Publication:
- United States
- Language:
- English
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