Random and deterministic fragmentation models

Wagner Wolfgang ()
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Wagner Wolfgang: Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstraße 39, D–10117 Berlin, Germany. E-mail:

Monte Carlo Methods and Applications, 2010, vol. 16, issue 3-4, 399-420

Abstract: Random and deterministic fragmentation models are considered. Their relationship is studied by deriving different forms of the kinetic fragmentation equation from the corresponding stochastic models. Results related to the problem of non-conservation of mass (phase transition into dust) are discussed. Illustrative examples are given and some open problems are mentioned.

Keywords: Fragmentation models; kinetic equations; Markov jump processes; explosion property (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1515/mcma.2010.016

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