论文标题

拉格朗日对omoriis法律的制定和类比与宇宙大裂口

Lagrangian formulation of Omoriis law and analogy with the cosmic Big Rip

论文作者

Faraoni, Valerio

论文摘要

一个预测奥莫里定律的最新模型给出地震后每单位时间的余震数量涉及类似于宇宙学方程的微分方程。前动摇阶段类似于一个加速的宇宙,即接近大裂口,对大裂口奇异行为的主要冲击以及对合同宇宙的余震。该类比提供了一些物理直觉以及针对欧摩里定律及其概括的拉格朗日和哈密顿的表述。

A recent model predicting Omori's law giving the number of aftershocks per unit time following an earthquake involves a differential equation analogous to the Friedmann equation of cosmology. The before-shock phase is analogous to an accelerating universe approaching a Big Rip, the main shock to the Big Rip singularity, and the aftershock to a contracting universe. The analogy provides some physical intuition and Lagrangian and Hamiltonian formulations for Omori's law and its generalizations.

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