Fragmentation-Coalescence Processes: Theory and Applications

  • Steven Pagett

Student thesis: Doctoral ThesisPhD

Abstract

The main objects of study in this thesis are fragmentation-coalescence processes, where particles are grouped into clusters and evolve by either joining together, to form larger clusters, or splitting apart, to form smaller clusters. The focus is on the number of these clusters and the distribution of their sizes.In particular, we show for a certain class of processes defined on a finite system that there is convergence in the thermodynamic limit to an infinite system. For a second class of processes we show there is a phase transition between regimes where the number of clusters has an entrance law from ∞ or not.
Date of Award26 Apr 2017
LanguageEnglish
Awarding Institution
  • University of Bath
SupervisorTim Rogers (Supervisor) & Andreas Kyprianou (Supervisor)

Cite this

Fragmentation-Coalescence Processes: Theory and Applications
Pagett, S. (Author). 26 Apr 2017

Student thesis: Doctoral ThesisPhD