Lippiello Eugenio, Godano Cataldo, de Arcangelis Lucilla
Department of Physical Sciences, University of Naples "Federico II," 80125 Napoli, Italy.
Phys Rev Lett. 2007 Mar 2;98(9):098501. doi: 10.1103/PhysRevLett.98.098501. Epub 2007 Feb 26.
We propose a branching process based on a dynamical scaling hypothesis relating time and mass. In the context of earthquake occurrence, we show that experimental power laws in size and time distribution naturally originate solely from this scaling hypothesis. We present a numerical protocol able to generate a synthetic catalog with an arbitrary large number of events. The numerical data reproduce the hierarchical organization in time and magnitude of experimental interevent time distribution.
我们提出了一种基于时间和质量动态缩放假设的分支过程。在地震发生的背景下，我们表明，大小和时间分布中的实验幂律仅自然地源于这种缩放假设。我们提出了一种数值协议，能够生成包含任意大量事件的合成目录。数值数据再现了实验事件间时间分布在时间和震级上的层次结构。
