TY - JOUR
T1 - Fragmentation of percolation clusters in general dimensions
AU - Cheon, Mookyung
AU - Heo, Muyoung
AU - Chang, Iksoo
AU - Stauffer, Dietrich
PY - 1999
Y1 - 1999
N2 - The scaling behavior for binary fragmentation of critical percolation clusters in general dimensions is investigated by Monte Carlo simulation as well as by exact series expansions. We obtain values of critical exponents [Formula Presented] and [Formula Presented] describing the scaling of the fragmentation rate and the distribution of cluster masses produced by binary fragmentation. Our results for [Formula Presented] and [Formula Presented] in two to nine dimensions agree with the conjectured scaling relation [Formula Presented] by Edwards and co-workers [Phys. Rev. Lett. 68, 2692 (1992); Phys. Rev. A 46, 6252 (1992)], which in turn excludes the other scaling relations suggested by Gouyet (for [Formula Presented], and by Roux and Guyon [J. Phys. A 22, 3693 (1989)], where [Formula Presented] is the crossover exponent for the cluster numbers in percolation theory.
AB - The scaling behavior for binary fragmentation of critical percolation clusters in general dimensions is investigated by Monte Carlo simulation as well as by exact series expansions. We obtain values of critical exponents [Formula Presented] and [Formula Presented] describing the scaling of the fragmentation rate and the distribution of cluster masses produced by binary fragmentation. Our results for [Formula Presented] and [Formula Presented] in two to nine dimensions agree with the conjectured scaling relation [Formula Presented] by Edwards and co-workers [Phys. Rev. Lett. 68, 2692 (1992); Phys. Rev. A 46, 6252 (1992)], which in turn excludes the other scaling relations suggested by Gouyet (for [Formula Presented], and by Roux and Guyon [J. Phys. A 22, 3693 (1989)], where [Formula Presented] is the crossover exponent for the cluster numbers in percolation theory.
UR - http://www.scopus.com/inward/record.url?scp=0001031815&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.59.R4733
DO - 10.1103/PhysRevE.59.R4733
M3 - Article
AN - SCOPUS:0001031815
SN - 1063-651X
VL - 59
SP - R4733-R4736
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 5
ER -