Scale-free statistics of time interval between successive earthquakes

被引:115
作者
Abe, S [1 ]
Suzuki, N
机构
[1] Univ Tsukuba, Inst Phys, Tsukuba, Ibaraki 3058571, Japan
[2] Nihon Univ, Coll Sci & Technol, Chiba 2748510, Japan
基金
日本学术振兴会;
关键词
earthquakes; calm time; Zipf-Mandelbrot law; Tsallis entropy;
D O I
10.1016/j.physa.2004.10.040
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The statistical property of the calm times, i.e., time intervals between successive earthquakes with arbitrary values of magnitude, is studied by analyzing the seismic time series data in California and Japan. It is found that the calm times obey the Zipf-Mandelbrot power law, exhibiting a new scale-free nature of the earthquake phenomenon. Dependence of the exponent of the power-law distribution on threshold for magnitude is examined. As threshold increases, the tail of the distribution tends to become longer, showing difficulty in statistically estimating time intervals of earthquakes. (c) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:588 / 596
页数:9
相关论文
共 30 条
[1]   Geometry of escort distributions [J].
Abe, S .
PHYSICAL REVIEW E, 2003, 68 (03) :3
[2]  
Abe S, 2004, LECT NOTES COMPUT SC, V3038, P1046
[3]   Scale-free network of earthquakes [J].
Abe, S ;
Suzuki, N .
EUROPHYSICS LETTERS, 2004, 65 (04) :581-586
[4]   Small-world structure of earthquake network [J].
Abe, S ;
Suzuki, N .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 337 (1-2) :357-362
[5]   Aging and scaling of earthquake aftershocks [J].
Abe, S ;
Suzuki, N .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 332 :533-538
[6]   Law for the distance between successive earthquakes [J].
Abe, S ;
Suzuki, N .
JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH, 2003, 108 (B2)
[7]   Stability of Tsallis entropy and instabilities of Renyi and normalized Tsallis entropies:: A basis for q-exponential distributions -: art. no. 046134 [J].
Abe, S .
PHYSICAL REVIEW E, 2002, 66 (04) :6
[8]   Itineration of the Internet over nonequilibrium stationary states in Tsallis statistics [J].
Abe, S ;
Suzuki, N .
PHYSICAL REVIEW E, 2003, 67 (01) :4-161064
[9]   Gutenberg-Richter law for Internetquakes [J].
Abe, S ;
Suzuki, N .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 319 :552-556
[10]   Omori's law in the Internet traffic [J].
Abe, S ;
Suzuki, N .
EUROPHYSICS LETTERS, 2003, 61 (06) :852-855