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+d M. We find by scaling arguments that P( M) decays with a power law, P( M)∼ M −(1+ κ) , with an exponent κ= d f B / d f , where d f and d f B 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.
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