Dynamics of invasion percolation

Liv Furuberg, Jens Feder, Amnon Aharony, Torstein Jøssang

Research output: Contribution to journalArticlepeer-review

Abstract

Simulations of the growth of planar invasion percolation clusters exhibit novel dynamic scaling. The probability to invade a site at a distance r from a reference site at a time t after that site was invaded behaves as N(r,t)=r-1f(rDt), where D is the fractal dimension of the invaded region. The scaling function has the unusual timing behavior f(u)ua(u1) and u-b(u1), with a1.4, b0.6, and growth occurring mainly around rt1D.

Original languageEnglish
Pages (from-to)2117-2120
Number of pages4
JournalPhysical Review Letters
Volume61
Issue number18
DOIs
StatePublished - 1988

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