余震和波动的扩散性
Sumiyoshi Abe1,2,3, Norikazu Suzuki4, Dmitrii A Tayurskii2
1Department of Physics, College of Information Science and Engineering, Huaqiao University, Xiamen 361021, China.
Entropy (Basel, Switzerland)
|July 29, 2023
概括
奥莫里-乌苏定律描述了复杂系统中的地震余震衰变. 这项研究将其建模为放松过程,揭示了对数时间不变和衰老现象.
科学领域:
- 物理 物理学 物理
- 地质物理学 地质物理学
- 复杂的系统复杂的系统.
背景情况:
- 奥莫里-乌苏定律描述了地震余震频率的电力定律衰减.
- 这一定律在各种展示灾难性事件的复杂系统中得到观察.
- 它被解释为对重大干扰的系统反应的特征.
研究的目的:
- 为了制定Omori-Utsu法则作为一个层次动态框架内的放松过程.
- 研究快速和缓慢的自由度在这种放松过程中的作用.
- 分析系统的时间特征和新出现的现象.
主要方法:
- 使用福克-普朗克理论来建模负载状态分布.
- 将负载状态空间中的扩散系数视为波动的慢变量.
- 缩小完整的福克-普朗克方程来分析负载状态的亚动力学 (快速自由度).
- 分析减少进化方程的绿色函数.
主要成果:
- 该研究成功地将Omori-Utsu定律作为一种放松过程.
- 控制负载状态的子系统在对数时间中表现出时间转换不变.
- 这种不变导致衰老现象的出现.
结论:
- 奥莫里-乌苏定律可以被理解为具有层次动态的系统中的放松过程.
- 快速自由度的逻辑时间不变是导致衰老的关键特征.
- 这些发现为理解复杂系统中的Omori-Utsu定律提供了理论框架.
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