Boulter C J, Miller G
Department of Mathematics, School of Mathematical and Computer Sciences, Scott Russell Building, Heriot-Watt University, Edinburgh EH14 4AS, Scotland, UK.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Nov;68(5 Pt 2):056108. doi: 10.1103/PhysRevE.68.056108. Epub 2003 Nov 11.
We use extensive numerical simulations to test recent claims of universality in the nonconservative regime of the Olami-Feder-Christensen model. By studying larger systems and a wider range of dissipation levels than previously considered we conclude that there is no evidence of universality in the model with only limited regions of the event size distributions displaying power-law behavior. We further analyze the dimension of the largest events in the model, D(max), using a multiscaling method. This reveals that although D(max) initially increases with system size, for larger systems the dimension ultimately decreases with system size casting further doubt on the criticality of the model.
我们使用广泛的数值模拟来检验近期关于奥拉米-费德-克里斯滕森模型非保守 regime 中普遍性的说法。通过研究比之前考虑的更大系统和更广泛的耗散水平范围,我们得出结论,在该模型中没有普遍性的证据,只有事件大小分布的有限区域显示出幂律行为。我们进一步使用多尺度方法分析模型中最大事件的维度 D(max)。这表明,尽管 D(max) 最初随系统大小增加,但对于更大的系统,维度最终会随系统大小减小,这进一步质疑了该模型的临界性。