Dynamics of invasion percolation

Liv Furuberg; Jens Feder; Amnon Aharony; Torstein Jøssang

doi:10.1103/PhysRevLett.61.2117

Dynamics of invasion percolation

Liv Furuberg, Jens Feder, Amnon Aharony, Torstein Jøssang

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148 Scopus citations

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 language	English
Pages (from-to)	2117-2120
Number of pages	4
Journal	Physical Review Letters
Volume	61
Issue number	18
DOIs	https://doi.org/10.1103/PhysRevLett.61.2117
State	Published - 1 Jan 1988
Externally published	Yes

ASJC Scopus subject areas

General Physics and Astronomy

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AU - Aharony, Amnon

AU - Jøssang, Torstein

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AB - 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.

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Dynamics of invasion percolation

Abstract

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