Mass distribution on clusters at the percolation threshold

Journal Article · Tue Feb 28 23:00:00 EST 1995 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)

DOI:https://doi.org/10.1103/PhysRevE.51.2632· OSTI ID:6766562

Gyure, M F; Ferer, M V; Edwards, B F ^[1]; Huber, G ^[2]

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1. Department of Physics, P.O. Box 6315, West Virginia University, Morgantown, West Virginia 26506-6315 (United States)
2. Department of Physics and Center for Polymer Studies, Boston University, Boston, Massachusetts 02215 (United States) Lawrence Berkeley Laboratory, 1 Cyclotron Road, Berkeley, California 94720 (United States) Department of Mathematics and Department of Physics, University of California, Berkeley, California 94720 (United States)

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.

• OSTI ID: 6766562
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States), Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States) Vol. 51:3; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
400200* -- Inorganic
Organic
& Physical Chemistry
CALCULATION METHODS
COMPUTERIZED SIMULATION
DISTRIBUTION
FRACTALS
FRAGMENTATION
MASS DISTRIBUTION
MONTE CARLO METHOD
SCALING
SIMULATION
SOLID CLUSTERS
SPATIAL DISTRIBUTION