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Conceptual model of coalescence and break-up in the presence of external agitation

Author

Listed:
  • Almaguer, F-Javier
  • Alcalá, Mónica
  • Berrones, Arturo
  • Chacón-Mondragón, Óscar L.
  • Soto-Regalado, Eduardo

Abstract

A Markovian probabilistic cellular automaton with the capability to capture the essential phenomenology of coalescence and break-up processes in the presence of external agitation is introduced. The existence of homogeneous stationary states of the model which admit large cluster formation for a range of agitation speeds is analytically predicted by mean field calculations. Through mean field analysis it is possible to obtain formulas that link experimental and model parameters on the base of simple measurable quantities. In this way, the experimental conditions for which a desirable stationary particle size distribution should be expected can be derived.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:8:p:1725-1732
    DOI: 10.1016/j.physa.2012.11.057
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    Cited by:

    1. Almaguer, F-Javier & Amezcua, Omar González & Morales-Castillo, Javier & Soto-Villalobos, Roberto, 2018. "Riemann and Weierstrass walks revisited," Applied Mathematics and Computation, Elsevier, vol. 319(C), pages 518-526.
    2. 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).

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