Physical Review E
American Physical Society
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.
Mass distribution on clusters at the percolation threshold, M. F.Gyure, M. V. Ferer, B. F. Edwards, and G. Huber, Phys. Rev. E BriefReports 51, 2632 (1995) .