Distribution of dangling ends on the incipient percolation cluster

Markus Porto, Armin Bunde and Shlomo Havlin

Physica A: Statistical Mechanics and its Applications, 1999, vol. 266, issue 1, 96-99

Abstract: We study numerically and by scaling arguments the probability P(M)dM that a given dangling end of the incipient percolation cluster has a mass between M and M+dM. We find by scaling arguments that P(M) decays with a power law, P(M)∼M−(1+κ), with an exponent κ=dfB/df, where df and dfB are the fractal dimensions of the cluster and its backbone, respectively. Our numerical results yield κ=0.83 in d=2 and κ=0.74 in d=3 in very good agreement with theory.

Keywords: Incipient percolation cluster; Dangling ends; Diffusion (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:266:y:1999:i:1:p:96-99

DOI: 10.1016/S0378-4371(98)00581-0

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