Cooling dynamics in multi-fragmentation processes

Stochastic Coalescence Multi-Fragmentation Processes

On time dynamics of coagulation-fragmentation processes

We establish a characterization of coagulation-fragmentation processes, such that the induced birth and death processes depicting the total number of groups at time t ≥ 0 are time homogeneous. Based on this, we provide a characterization of mean-field Gibbs coagulationfragmentation models, which extends the one derived by Hendriks et al. As a byproduct of our results, the class of solvable mode...

Fragmentation in H → bb̄ Processes

I study bottom quark fragmentation in the Standard Model Higgs decay H → b ¯ b, within the framework of perturbative fragmentation functions. I resum large collinear logarithms ln(m 2 H /m 2 b) in the next-to-leading logarithmic (NLL) approximation, using the DGLAP evolution equations. Soft contributions to the MS coefficient function and to the initial condition of the perturbative fragmentati...

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...