一个改进的版本的Olami-Feder-Christensen模型已被引入考虑雪崩大小的差异。我们的模型很好地证明了幂律行为和有限尺寸标度的雪崩尺寸分布在任何范围内的添加参数$p_{add}$的模型。在连续的时间步长（定义为回报）的雪崩大小的差异的概率密度函数（PDF）似乎很好地接近，在热力学极限，由q-高斯形状与适当的q值，可以得到一个先验的雪崩大小指数$τ$。然而，对于小系统规模，发现收益分布与最近在Tsallis和Tirnakli，J. Phys.中提出的交叉公式一致：201，012001（2010）。我们的研究结果加强了Caruso等人[Phys. Rev. E 75，055101（R）（2007）]对真实地震数据的最新发现，这些发现支持了这样一个假设，即知道以前地震的震级并不能预测下一次地震的震级。此外，还得到了该模型的等待时间分布的标度关系。
英文摘要：
An improved 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 $p_{add}$ of the model. The probability density functions (PDFs) for 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 the 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. Moreover, the scaling relation of the waiting time distribution of the model has also been found.
Scaling features in the Olami-Feder-Christensen model
Govt. College for Women, Prade Ground Jammu, Jammu and Kashmir 180001, India（政府女子学院）；Department of Physics, Institute of Science, Banaras Hindu University, Varanasi 221 005, India（贝拿勒斯印度大学科学研究所）
