Occurrence of finite-time singularities in epidemic models of rupture, earthquakes, and starquakes.
Occurrence of finite-time singularities in epidemic models of rupture, earthquakes, and starquakes.
复制标题
破裂、地震和星震流行模型中有限时间奇点的出现。
DOI：
10.1103/physrevlett.89.158501
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发表时间：
2001
影响因子：
8.6
通讯作者：
A. Helmstetter
中科院分区：
文献类型：
--
作者：
Didier Sornette;A. Helmstetter
我们提出了一种新的临界随机有限时间奇点，依赖于长记忆和极端波动之间的相互作用。我们说明了它的完善的地震型余震模型的余震，仅基于最坚实的记录程式化的地震活动性的事实（集群在空间和时间和幂律古腾堡-里克特分布的地震能量）。这一理论解释了异质材料临界破裂、中子星星引起的最大星震序列以及地震序列的主要观测结果（幂律加速度和离散尺度不变结构）。
We present a new kind of critical stochastic finite-time singularity, relying on the interplay between long-memory and extreme fluctuations. We illustrate it on the well-established epidemic-type aftershock model for aftershocks, based solely on the most solidly documented stylized facts of seismicity (clustering in space and in time and power law Gutenberg-Richter distribution of earthquake energies). This theory accounts for the main observations (power law acceleration and discrete scale invariant structure) of critical rupture of heterogeneous materials, of the largest sequence of starquakes ever attributed to a neutron star, as well as of earthquake sequences.