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Fragmentation-coalescence processes : theory and applications

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.

Identiferoai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:715297
Date January 2017
CreatorsPagett, Steven
ContributorsRogers, Timothy ; Kyprianou, Andreas
PublisherUniversity of Bath
Source SetsEthos UK
Detected LanguageEnglish
TypeElectronic Thesis or Dissertation

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