Quasi-periodic events on structured earthquake models  

作　　者：Bin-Quan Li Zhi-Xi Wu Sheng-Jun Wang 李斌全;吴枝喜;王圣军(Institute of Computational Physics and Complex Systems,Lanzhou University,Lanzhou 730000,China;School of Physics and Information Technology,Shaanxi Normal University,Xi’an 710119,China)

机构地区：[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

出　　处：《Chinese Physics B》2019年第9期50-56,共7页中国物理B（英文版）

基　　金：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);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 quasiperiodic 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.There has been much interest in studying quasi-periodic events on earthquake models.Here we investigate quasiperiodic 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 

分 类 号：O4[理学—物理]