Citation

Cernák J. Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 2010; 82(6 Pt 1): 061116.

Affiliation

Institute of Physics, P. J. Šafárik University in Košice, Jesenná 5, 04000 Košice, Slovak Republic.

Copyright

(Copyright © 2010, American Physical Society, Publisher American Institute of Physics)

DOI

unavailable

PMID

21230653

Abstract

The aim of this study is to investigate a wave dynamics and a size scaling of avalanches which were created by the mathematical model [J. Černák, Phys. Rev. E 65, 046141 (2002)10.1103/PhysRevE.65.046141]. Numerical simulations were carried out on a two-dimensional lattice L×L in which two constant thresholds E_{c}^{I}=4 and E_{c}^{II}>E_{c}^{I} were randomly distributed. The density of sites c of the thresholds E_{c}^{II} and threshold E_{c}^{II} are parameters of the model. Autocorrelations of avalanche size waves, Hurst exponents, avalanche structures, and avalanche size moments were determined for several densities c and thresholds E_{c}^{II} . The results show correlated avalanche size waves and multifractal scaling of avalanche sizes not only for specific conditions, densities c=0.0,1.0 and thresholds 8≤E_{c}^{II}≤32 , in which relaxation rules were precisely balanced, but also for more general conditions, densities 0.0

Language: en