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Invasion percolation between two sites in two, three, and four dimensions

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  • Lee, Sang Bub

Abstract

The mass distribution of invaded clusters in non-trapping invasion percolation between an injection site and an extraction site has been studied, in two, three, and four dimensions. This study is an extension of the recent study focused on two dimensions by Araújo et al. [A.D. Araújo, T.F. Vasconcelos, A.A. Moreira, L.S. Lucena, J.S. Andrade Jr., Phys. Rev. E 72 (2005) 041404] with respect to higher dimensions. The mass distribution exhibits a power-law behavior, P(m)∝m−α. It has been found that the index α for pe

Suggested Citation

  • Lee, Sang Bub, 2009. "Invasion percolation between two sites in two, three, and four dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(12), pages 2271-2277.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:12:p:2271-2277
    DOI: 10.1016/j.physa.2009.03.002
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