The nonlinear fragmentation equation

Details The nonlinear fragmentation equation The nonlinear fragmentation equation

2007-03-22

arxiv.org/abs/cond-mat/0703571v1

J. Phys. A: Math. Theor. 40 (2007) F331-F337

Physics

Condensed Matter

Statistical Mechanics

to appear in J. Phys. A

Scientific paper

We study the kinetics of nonlinear irreversible fragmentation. Here fragmentation is induced by interactions/collisions between pairs of particles, and modelled by general classes of interaction kernels, and for several types of breakage models. We construct initial value and scaling solutions of the fragmentation equations, and apply the "non-vanishing mass flux "criterion for the occurrence of shattering transitions. These properties enable us to determine the phase diagram for the occurrence of shattering states and of scaling states in the phase space of model parameters.

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