驱动粘弹性界面的余震产生率
Aftershock production rate of driven viscoelastic interfaces
摘要：
我们研究分析和数值模拟的统计数据后产生的大雪崩的界面脱钉模型，包括粘弹性松弛效应的余震。我们发现，在所有的分析情况下，余震随时间的衰减规律可以理解，通过考虑典型的粗糙度的界面和它的演变，由于松弛。在模型中，有一个单一的粘弹性松弛时间有一个指数衰减的余震的数量与时间。在模型中，粘弹性松弛波矢量依赖，我们通常会发现一个幂律依赖的衰减率，兼容的大森定律。分析了影响衰减指数的因素。
英文摘要：
We study analytically and by numerical simulations the statistics of the aftershocks generated after large avalanches in models of interface depinning that include viscoelastic relaxation effects. We find in all the analyzed cases that the decay law of aftershocks with time can be understood by considering the typical roughness of the interface and its evolution due to relaxation. In models where there is a single viscoelastic relaxation time there is an exponential decay of the number of aftershocks with time. In models in which viscoelastic relaxation is wave-vector dependent we typically find a power law dependence of the decay rate, compatible with the Omori law. The factors that determine the value of the decay exponent are analyzed.
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