Fragmentation instability in aggregating systems

Abstract

The inclusion of a fragmentation mechanism in population balance equations introduces complex interactions that make the analytical or even computational treatment much more difficult than for the pure aggregation case. This is specially true when variable sized fragments are allowed, because of the exponential growth in fragments size combinations with the number of monomers in the exchanges. In this contribution we present a new model that incorporates an instability threshold in the clusters, which induces arbitrary losses or gains of particles by fracture with a substantial simplification of the combinatorics of the process. The model exhibits two different regimes.

References in corpus (9)

• Emergence of scaling in random networks
• Connectivity of Growing Random Networks
• Dynamics of Social Balance on Networks
• Power laws and Self-Organized Criticality in Theory and Nature
• Size distribution of particles in Saturn's rings from aggregation and fragmentation
• Nonequilibrium Phase Transition in a Model of Diffusion, Aggregation and Fragmentation
• Analytical calculation of fragmentation transitions in adaptive networks
• Statistical Thermodynamics of Irreversible Aggregation and Gelation
• Kinetic regimes in aggregating systems with spontaneous and collisional fragmentation