Self organized criticality in a modified Olami-Feder-Christensen model
Makaleler > Tam Makale · 2011
Yazarlar: G. Q. ZHANG, Uğur TIRNAKLI, L. WANG, T. L. CHEN
The European Physical Journal B, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2011, cilt 82, ss 83-89
DOI: 10.1140/epjb/e2011-10941-4
Özet
A modified version of the Olami-Feder-Christensen model has been introduced to consider avalanche size differences. Our model well demonstrates the power-law behavior and finite size scaling of avalanche size distribution in any range of the adding parameter p (a) (d) (d) of the model. The probability density functions of the avalanche size differences at consecutive time steps (defined as returns) appear to be well approached, in the thermodynamic limit, by q-Gaussian shape with appropriate q values which can be obtained a priori from the avalanche size exponent tau. For small system sizes, however, return distributions are found to be consistent with the crossover formulas proposed recently in Tsallis and Tirnakli [J. Phys. Conf. Ser. 201, 012001 (2010)]. Our results strengthen recent findings of Caruso et al. [Phys. Rev. E 75, 055101(R) (2007)] on the real earthquake data which support the hypothesis that knowing the magnitude of previous earthquakes does not make the magnitude of the next earthquake predictable.