All Physics Faculty Publications

Document Type

Article

Journal/Book Title/Conference

Physical Review Letters

Volume

68

Issue

17

Publisher

American Physical Society

Publication Date

1-1992

First Page

2692

Last Page

2695

DOI

10.1103/PhysRevLett.68.2692

Abstract

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.

Comments

http://prl.aps.org/abstract/PRL/v68/i17/p2692_1

Published by the American Physical Society in Physical Review Letters. Publisher PDF is available for download through the link above.