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.
Received: 2009-11-13
Revised: 2010-09-08
Published Online: 2010-10-20
Published in Print: 2010-December
© de Gruyter 2010
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Keywords for this article
Fragmentation models;
kinetic equations;
Markov jump processes;
explosion property
Articles in the same Issue
- Editiorial
- Random packing of hyperspheres and Marsaglia's parking lot test
- Diffusion in a nonhomogeneous medium: quasi-random walk on a lattice
- Improved Halton sequences and discrepancy bounds
- Generalizing Sudoku to three dimensions
- Adaptive integration and approximation over hyper-rectangular regions with applications to basket option pricing
- Exact simulation of Bessel diffusions
- A good permutation for one-dimensional diaphony
- Error bounds for computing the expectation by Markov chain Monte Carlo
- Stochastic iterative projection methods for large linear systems
- Increasing the number of inner replications of multifactor portfolio credit risk simulation in the t-copula model
- A genetic algorithm approach to estimate lower bounds of the star discrepancy
- Random and deterministic fragmentation models
- MCMC imputation in autologistic model