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

Sang Bub Lee

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 12, 2271-2277

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 peKeywords: Non-trapping invasion percolation; Mass distribution; Power law behavior; Scaling analysis (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:12:p:2271-2277

DOI: 10.1016/j.physa.2009.03.002

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