中国物理B ›› 2019, Vol. 28 ›› Issue (9): 90503-090503.doi: 10.1088/1674-1056/ab3449

• SPECIAL TOPIC-110th Anniversary of Lanzhou University • 上一篇    下一篇

Quasi-periodic events on structured earthquake models

Bin-Quan Li(李斌全), Zhi-Xi Wu(吴枝喜), Sheng-Jun Wang(王圣军)   

  1. 1 Institute of Computational Physics and Complex Systems, Lanzhou University, Lanzhou 730000, China;
    2 School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710119, China
  • 收稿日期:2019-05-31 修回日期:2019-07-12 出版日期:2019-09-05 发布日期:2019-09-05
  • 通讯作者: Zhi-Xi Wu, Sheng-Jun Wang E-mail:wuzhx@lzu.edu.cn;wangshjun@snnu.edu.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 11575072 and 11675096), the Fundamental Research Funds for the Central Universities, China (Grant No. GK201702001), and the FPALAB-SNNU, China (Grant No. 16QNGG007).

Quasi-periodic events on structured earthquake models

Bin-Quan Li(李斌全)1, Zhi-Xi Wu(吴枝喜)1, Sheng-Jun Wang(王圣军)2   

  1. 1 Institute of Computational Physics and Complex Systems, Lanzhou University, Lanzhou 730000, China;
    2 School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710119, China
  • Received:2019-05-31 Revised:2019-07-12 Online:2019-09-05 Published:2019-09-05
  • Contact: Zhi-Xi Wu, Sheng-Jun Wang E-mail:wuzhx@lzu.edu.cn;wangshjun@snnu.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 11575072 and 11675096), the Fundamental Research Funds for the Central Universities, China (Grant No. GK201702001), and the FPALAB-SNNU, China (Grant No. 16QNGG007).

摘要:

There has been much interest in studying quasi-periodic events on earthquake models. Here we investigate quasi-periodic events in the avalanche time series on structured earthquake models by the analysis of the autocorrelation function and the fast Fourier transform. For random spatial earthquake models, quasi-periodic events are robust and we obtain a simple rule for a period that is proportional to the choice of unit time and the dissipation of the system. Moreover, computer simulations validate this rule for two-dimensional lattice models and cycle graphs, but our simulation results also show that small-world models, scale-free models, and random rule graphs do not have periodic phenomena. Although the periodicity of avalanche does not depend on the criticality of the system or the average degree of the system or the size of the system, there is evidence that it depends on the time series of the average force of the system.

关键词: quasi-periodic event, self-organized criticality, earthquake model

Abstract:

There has been much interest in studying quasi-periodic events on earthquake models. Here we investigate quasi-periodic events in the avalanche time series on structured earthquake models by the analysis of the autocorrelation function and the fast Fourier transform. For random spatial earthquake models, quasi-periodic events are robust and we obtain a simple rule for a period that is proportional to the choice of unit time and the dissipation of the system. Moreover, computer simulations validate this rule for two-dimensional lattice models and cycle graphs, but our simulation results also show that small-world models, scale-free models, and random rule graphs do not have periodic phenomena. Although the periodicity of avalanche does not depend on the criticality of the system or the average degree of the system or the size of the system, there is evidence that it depends on the time series of the average force of the system.

Key words: quasi-periodic event, self-organized criticality, earthquake model

中图分类号:  (Self-organized systems)

  • 05.65.+b
45.70.Ht (Avalanches) 91.30.-f (Seismology) 89.75.Da (Systems obeying scaling laws)