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Fragmentation instability in aggregating systems

Author

Listed:
  • Berrones-Santos, Arturo
  • Benavides-Vázquez, Luis
  • Schaeffer, Elisa
  • Almaguer, Javier

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.

Suggested Citation

  • Berrones-Santos, Arturo & Benavides-Vázquez, Luis & Schaeffer, Elisa & Almaguer, Javier, 2022. "Fragmentation instability in aggregating systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 594(C).
    • Handle: RePEc:eee:phsmap:v:594:y:2022:i:c:s0378437122000930
    DOI: 10.1016/j.physa.2022.127021
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    References listed on IDEAS

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    1. Chakrabarti,Bikas K. & Chakraborti,Anirban & Chakravarty,Satya R. & Chatterjee,Arnab, 2013. "Econophysics of Income and Wealth Distributions," Cambridge Books, Cambridge University Press, number 9781107013445, December.
    2. Almaguer, F-Javier & Alcalá, Mónica & Berrones, Arturo & Chacón-Mondragón, Óscar L. & Soto-Regalado, Eduardo, 2013. "Conceptual model of coalescence and break-up in the presence of external agitation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(8), pages 1725-1732.
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