Dynamical evolution of clustering in complex network of eart

The network approach plays a distinguished role in contemporary science of complex systems/phenomena. Such an approach has been introduced into seismology in a recent work [S. Abe and N. Suzuki, Europhys. Lett. 65, 581 (2004)]. Here, we discuss the dynamic

(b)

FIG.1

The network approach plays a distinguished role in contemporary science of complex systems/phenomena. Such an approach has been introduced into seismology in a recent work [S. Abe and N. Suzuki, Europhys. Lett. 65, 581 (2004)]. Here, we discuss the dynamic

0.7

0.6

0.5

0.4

0.3

0.2

0.1

-1500-1000-5000

hours500100015002000C(a)

(b)

0.3

0.2C0.1

-1000010002000300040005000600070008000

hours

0.5

0.4

0.3

0.2

-4000-200002000

hours400060008000C(c)

FIG. 2

The network approach plays a distinguished role in contemporary science of complex systems/phenomena. Such an approach has been introduced into seismology in a recent work [S. Abe and N. Suzuki, Europhys. Lett. 65, 581 (2004)]. Here, we discuss the dynamic

18

16

14

12

Cn)108

6

4

2

050010001500200024

un[hours]

25

20

C(n)15

10

5

0200400600800

[hours]10001200140024un

FIG.3(a)

The network approach plays a distinguished role in contemporary science of complex systems/phenomena. Such an approach has been introduced into seismology in a recent work [S. Abe and N. Suzuki, Europhys. Lett. 65, 581 (2004)]. Here, we discuss the dynamic

14

12

10

C(n)8

6

4

2

01000200030004000500024

un[hours]

50

40

C(n)30

20

100

010002000300040005000

24un[hours]

FIG.3(b)

The network approach plays a distinguished role in contemporary science of complex systems/phenomena. Such an approach has been introduced into seismology in a recent work [S. Abe and N. Suzuki, Europhys. Lett. 65, 581 (2004)]. Here, we discuss the dynamic

14

12

10

C(n)8

6

4

2

01000200030004000500024

un[hours]

40

30

C(n)20

10

010002000300040005000

24un[hours]

FIG.3(c)

The network approach plays a distinguished role in contemporary science of complex systems/phenomena. Such an approach has been introduced into seismology in a recent work [S. Abe and N. Suzuki, Europhys. Lett. 65, 581 (2004)]. Here, we discuss the dynamic

major event kmukmukm cell sizeM0(u102)

5

10

5

10

5

109.8448.00.6181.830.1221.66D2.24.00.330.400.550.59Joshua TreeEarthquakeLanders Earthquake Hector Mine Earthquake

TABLE I

The network approach plays a distinguished role in contemporary science of complex systems/phenomena. Such an approach has been introduced into seismology in a recent work [S. Abe and N. Suzuki, Europhys. Lett. 65, 581 (2004)]. Here, we discuss the dynamic

Dynamical evolution of clustering in complex

network of earthquakes

Sumiyoshi Abe1,2 and Norikazu Suzuki3

1Institute of Physics, University of Tsukuba, Ibaraki 305-8571, Japan

2Institut Supérieur des Matériaux et Mécaniques Avancés,

44 F. A. Bartholdi, 72000 Le Mans, France

3College of Science and Technology, Nihon University, Chiba 274-8501, JapanAbstractThe network approach plays a distinguished role in contemporary scienceof complex systems/phenomena. Such an approach has been introduced into seismologyin a recent work [S. Abe and N. Suzuki, Europhys. Lett. 65, 581 (2004)]. Here, wediscuss the dynamical property of the earthquake network constructed in California andreport the discovery that the values of the clustering coefficient remain stationary beforemain shocks, suddenly jump up at the main shocks, and then slowly decay following apower law to become stationary again. Thus, the network approach is found tocharacterize main shocks in a peculiar manner.

PACS number(s):89.75.Da, 91.30.–f, 05.65.+b

The network approach plays a distinguished role in contemporary science of complex systems/phenomena. Such an approach has been introduced into seismology in a recent work [S. Abe and N. Suzuki, Europhys. Lett. 65, 581 (2004)]. Here, we discuss the dynamic

Looking at seismic data from the physics viewpoint, it may be of interest to recognizethat it is essentially a field-theoretical system. It consists of the series of a set of valuesof occurrence time, hypocenter, and magnitude of each earthquake. In other words,seismic moment (its logarithm being magnitude) as a field strength is defined on eachdiscrete spacetime point. However, unlike ordinary field dynamics in physics, both thefield strength and spacetime points are inherently random. In spite of such apparentcomplicatedness, known empirical laws are rather simple. There are in fact twocelebrated classical examples. One is the Gutenberg-Richter law [1] for the relationshipbetween frequency and seismic moment. The other is the Omori law [2] for thetemporal decay of frequency of aftershocks. Both of them are power laws, indicatingcomplexity/criticality of seismicity.

Instantaneous release of huge energy by a main shock can be thought of as a“quenching” process. The disorder of a complex landscape of the stress distribution atfaults in the relevant area is then reorganized by it. Accordingly, a swarm of aftershocksmay follow. This process constitutes nonstationary parts of a seismic time series, and,due to the power-law nature of the Omori law, “relaxation” to a stationary state is veryslow. In a recent work [3], it has been found that there are striking similarities betweenthe aftershock phenomenon and glassy dynamics, including aging and scaling.

I …… 此处隐藏：5696字，全部文档内容请下载后查看。喜欢就下载吧 ……