Inversion symmetry and exact critical exponents of dissipating waves in the sandpile model

Citation
Ck. Hu et al., Inversion symmetry and exact critical exponents of dissipating waves in the sandpile model, PHYS REV L, 85(19), 2000, pp. 4048-4051
Citations number
18
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW LETTERS
ISSN journal
00319007 → ACNP
Volume
85
Issue
19
Year of publication
2000
Pages
4048 - 4051
Database
ISI
SICI code
0031-9007(20001106)85:19<4048:ISAECE>2.0.ZU;2-Z
Abstract
By an inversion symmetry, we show that in the Abelian sandpile model the pr obability distribution of dissipating waves of topplings that touch the bou ndary of the system shows a power-law relationship with critical exponent 5 /8 and the probability distribution of those dissipating waves that are als o last in an avalanche has an exponent of 1. Our extensive numerical simula tions not only support these predictions, but also show that inversion symm etry is useful for the analysis of the two-wave probability distributions.