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.
Digital Commons Citation
Gyure, Mark F.; Ferer, Martin V.; Edwards, Boyd F.; and Huber, Greg, "Mass distribution on clusters at the percolation threshold" (1995). Faculty Scholarship. 224.
Gyure, Mark F., Ferer, Martin V., Edwards, Boyd F., & Huber, Greg. (1995). Mass Distribution On Clusters At The Percolation Threshold. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 51(3), 2632-2635. http://doi.org/10.1103/PhysRevE.51.2632