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A percolation model with disaggregation and aggregation

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Zeitschrift für Physik B Condensed Matter

Abstract

A model of percolation with disaggregation and aggregation (PDA) is proposed and studied by means of the Monte Carlo simulation on the square lattice. The critical concentration φ c , the correlation length exponent and the fractal and spreading dimensions of the largest cluster at φ c have been computed. The obtained results suggest that the PDA model belongs to the same universality class than the standard percolation model. Nevertheless, the critical concentration (φ c =0.464±0.005) of the former is quite different from the critical probability (p c =0.5927) of the later model.

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Authors and Affiliations

  1. Laboratorio de Física Teórica Facultad de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 67, (1900), La Plata, Argentina

    H. O. Mártin

  2. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas-INIFTA, Universidad Nacional de La Plata, C.C. 16, Suc. 4, (1900), La Plata, Argentina

    E. V. Albano

Authors
  1. H. O. Mártin
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  2. E. V. Albano
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Financially supported by the Consejo Nacional de Investigaciones Cientificas y Técnicas (CONICET) de la República Argentina

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Mártin, H.O., Albano, E.V. A percolation model with disaggregation and aggregation. Z. Physik B - Condensed Matter 70, 213–217 (1988). https://doi.org/10.1007/BF01318302

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  • DOI: https://doi.org/10.1007/BF01318302

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