Fragmentation instability in aggregating systems

Arturo Berrones-Santos, Luis Benavides-Vázquez, Elisa Schaeffer and Javier Almaguer

Physica A: Statistical Mechanics and its Applications, 2022, vol. 594, issue C

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.

Keywords: Population balance; Fragmentation; Instability; Non-equilibrium (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:594:y:2022:i:c:s0378437122000930

DOI: 10.1016/j.physa.2022.127021

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