Fragmentation equations and stochastic models

Wolfgang Wagner
Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS)

Fragmentation processes (breaking of various objects into pieces) occur in
many sciences and applications such as polymer chemistry, nuclear physics,
biology, or mining industry. Kinetic equations are a common tool for describing
the behavior of the size distribution of fragmenting particle systems. On
the other hand, stochastic fragmentation models can be used both for analytical
studies and for numerical purposes. Solutions of fragmentation equations
may be non-conservative (loosing mass), if the fragmentation rate grows sufficiently
fast at zero. This corresponds to a phase transition into dust (“zero
size particles”). The transformation into dust is related to the explosion phenomenon
in the stochastic models.

Presentation (PDF File)

Back to Workshop IV: Asymptotic Methods for Dissipative Particle Systems