Avalanche dynamics of a generalized earthquake model

Zhang, Guiqing; Ardanuy, Jordi; Cheng, Fang-Yin; Huang, He; Wang, Lin

doi:10.1016/j.physa.2019.04.025

Cited by 3 publications

(2 citation statements)

References 49 publications

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“…In the literature, OFC models on different topologies have been explored previously. The anisotropic version, [12][13][14] randomneighbor version, [15][16][17][18] quenched random graph, [19,20] smallworld, [21,22] scale-free, [23][24][25][26] random spatial network, [27] and other different topology models [28][29][30] have been investigated.…”

Section: Introductionmentioning

confidence: 99%

Quasi-periodic events on structured earthquake models*

Wang

2019

Chinese Phys. B

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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.

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Section: Introductionmentioning

confidence: 99%

Quasi-periodic events on structured earthquake models*

Wang

2019

Chinese Phys. B

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“…This model is probably [7] the most studied non-conservative, supposedly, SOC model and has been a mainstream tool to study the SOC behavior of earthquake dynamics, because it can reproduce many critical features of real-world earthquakes, see ref. [33] and references therein. In particular, in the OFC model, it was found (see fig.…”

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confidence: 99%

Self-organized criticality and earthquake predictability: A long-standing question in the light of natural time analysis

Varotsos

Skordas

2020

EPL

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After the Bak-Tang-Wisenfeld seminal work on self-organized criticality (SOC), the following claim appeared by other workers in the 1990s: Earthquakes (EQs) cannot be predicted, since the Earth is in a state of SOC and hence any small earthquake has some probability of cascading into a large event. Here, we discuss that such claims do not stand in the light of natural time analysis, which was shown at the beginning of the 2000s to extract the maximum information possible from complex systems time series. A useful quantity to identify the approach of a dynamical system to criticality is the variance of natural time χ, which becomes equal to 0.070 at the critical state for a variety of dynamical systems. This also holds for experimental results of critical phenomena such as growth of ricepiles, seismic electric signals activities, and the subsequent seismicity before the associated main shock. Another useful quantity is the change of the dynamic entropy under time reversal, which is minimized before a large avalanche upon analyzing the Olami-Feder-Christensen model for EQs in natural time. Such a minimum actually occurred on 22 December 2010, well before the M9 Tohoku EQ in Japan on 11 March 2011, being accompanied by increases of both the complexity measure of the fluctuations and the variability of the order parameter of seismicity (which was minimized two weeks later). These increases conform to the seminal work on phase transitions by Lifshitz and Slyozov and independently by Wagner as well as to more recent work by Penrose et al. In addition, the evolution of the complexity measure of the fluctuations reveals a reliable estimation of the occurrence time of this M9 EQ.

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