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Criticality in a mass-aggregation model

Author

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  • Rodrigues, Célia L.
  • de Souza, André M.C.

Abstract

We use Monte Carlo simulation to study new features of a mass-aggregation model which undergoes a dynamical phase transition. The model is characterized by an aggregate phase where the mass distribution decays as a power law, in addition to the delta function peak at infinite mass. The self-organized criticality state is observed. The avalanches in the critical state manifest a power law distribution, that reveals the existence of avalanches for all scales.

Suggested Citation

  • Rodrigues, Célia L. & de Souza, André M.C., 2001. "Criticality in a mass-aggregation model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(1), pages 123-127.
    • Handle: RePEc:eee:phsmap:v:295:y:2001:i:1:p:123-127
    DOI: 10.1016/S0378-4371(01)00063-2
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    Cited by:

    1. Crandall, Dustin & Ahmadi, Goodarz & Ferer, Martin & Smith, Duane H., 2009. "Distribution and occurrence of localized-bursts in two-phase flow through porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(5), pages 574-584.

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