Homogeneous fragmentation processes

Homogeneous fragmentation processes

The purpose of this work is to define and study homogeneous fragmentation processes in continuous time, which are meant to describe the evolution of an object that breaks down randomly into pieces as time passes. Roughly, we show that the dynamics of such a fragmentation process are determined by some exchangeable measure on the set of partitions of �, and result from the combination of two dif...

Coagulation-fragmentation Processes

We study the well-posedness of coagulation-fragmentation models with diiusion for large systems of particles. The continuous and the discrete case are considered simultaneously. In the discrete situation we are concerned with a countable system of coupled reaction-diiusion equations, whereas the continuous case amounts to an uncountable system of such equations. These problems can be handled by...

Bainite: Fragmentation of crystallographically homogeneous domains

It becomes possible in appropriate circumstances for similarly oriented plates of bainite or martensite to merge and form coarse crystallographically homogeneous domains whose presence leads to a deterioration in mechanical properties. A method is presented here for breaking up such domains, by introducing very small scale chemical composition variations in the austenite prior to its transforma...

Generating Homogeneous Poisson Processes

We present an overview of existing methods to generate pseudorandom numbers from homogeneous Poisson processes. We provide three well-known definitions of the homogeneous Poisson process, present results that form the basis of various existing generation algorithms, and provide algorithm listings. With the intent of guiding users seeking an appropriate algorithm for a given setting, we note the...

Stochastic Coalescence Multi-Fragmentation Processes