New solutions to the fragmentation equation
- 21 June 1991
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 24 (12) , 2821-2828
- https://doi.org/10.1088/0305-4470/24/12/020
Abstract
A new general class of exact, explicit scaling solutions to the fragmentation equation is given. This class is described by a breakage rate a(x)=xlambda and the daughter distribution function yb(x mod y)=a gamma (xy)gamma -2+(1-a) delta (x/y)delta -2, and includes as special cases all previously-known scaling solutions to the fragmentation equation. For a subset of this class, with gamma = lambda and a= delta /( delta - lambda ), the complete time-dependent solution for a monodisperse initial condition is also given.Keywords
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