Fragmentation of percolation clusters at the percolation threshold

Journal Article · Mon Apr 27 00:00:00 EDT 1992 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.68.2692· OSTI ID:7201009

Gyure, M F; Edwards, B F ^[1]

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1. Department of Physics, West Virginia University, Morgantown, West Virginia 26506 (United States)

A scaling theory and simulation results are presented for fragmentation of percolation clusters by random bond dilution. At the percolation threshold, scaling forms describe the average number of fragmenting bonds and the distribution of cluster masses produced by fragmentation. A relationship between the scaling exponents and standard percolation exponents is verified in one dimension, on the Bethe lattice, and for Monte Carlo simulations on a square lattice. These results further describe the structure of percolation clusters and provide kernels relevant to rate equations for fragmentation.

• DOE Contract Number: FG22-89PC89791
• OSTI ID: 7201009
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 68:17; ISSN PRLTA; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
400201* -- Chemical & Physicochemical Properties
CHEMICAL BONDS
COMMINUTION
DATA
DILUTION
ENERGY
EQUATIONS
FRAGMENTATION
GRINDING
INFORMATION
MACHINING
MONTE CARLO METHOD
NUMERICAL DATA
PARTICLES
POLYMERS
SCALING LAWS
SIMULATION
THEORETICAL DATA
THRESHOLD ENERGY