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Mass distribution on clusters at the percolation threshold

Mark F. Gyure, Martin V. Ferer, Boyd F. Edwards, and Greg Huber
Phys. Rev. E 51, 2632 – Published 1 March 1995
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Abstract

Monte Carlo simulations and a scaling hypothesis are used to study the distribution of blob masses on two-dimensional finite-mass clusters at the percolation threshold. The exponents associated with this distribution function are a combination of backbone and percolation exponents. This work offers insights into the structure and fragmentation properties of percolation clusters in particular, and provides methods applicable to other fractal distribution problems in general.

  • Received 16 July 1993

DOI:https://doi.org/10.1103/PhysRevE.51.2632

©1995 American Physical Society

Authors & Affiliations

Mark F. Gyure, Martin V. Ferer, and Boyd F. Edwards

  • Department of Physics, P.O. Box 6315, West Virginia University, Morgantown, West Virginia 26506-6315

Greg Huber

  • Department of Physics and Center for Polymer Studies, Boston University, Boston, Massachusetts 02215
  • Lawrence Berkeley Laboratory, 1 Cyclotron Road, Berkeley, California 94720
  • Department of Mathematics and Department of Physics, University of California, Berkeley, California 94720

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Vol. 51, Iss. 3 — March 1995

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