https://doi.org/10.1140/epjb/e2011-10941-4
Self organized criticality in a modified Olami-Feder-Christensen model
1
Department of Physics, College of Science, Nanjing
Forestry University, Nanjing, 210037, P.R. China
2
Department of Physics, Faculty of Science, Ege University, 35100 Bornova, Izmir, Turkey
3
Department of Electronic Engineering, Fudan University, Shanghai, 200433, P.R. China
4
Department of Physics, Nankai University, Tianjin, 300071, P.R. China
Corresponding authors: a zhanggq@mail.nankai.edu.cn - b ugur.tirnakli@ege.edu.tr
Received:
1
December
2010
Revised:
18
April
2011
Published online:
29
June
2011
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 padd 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 τ. 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.
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2011