Investigation on Scaling and Hyperscaling for Invasion Percolation

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Abstract

Invasion-percolation observables which should scale with exponents interrelated through scaling and hyperscaling hypotheses are investigated. Evidence is presented that the hyperscaling relation between, the spatial dimension, and the fractal dimension breaks down at the defender threshold. Thus an independent exponent must be introduced to describe the scaling of the finite-defender-cluster distribution.

Original languageEnglish (US)
Pages (from-to)2197-2200
Number of pages4
JournalPhysical Review Letters
Volume52
Issue number25
DOIs
StatePublished - Jan 1 1984
Externally publishedYes

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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