Quasi-periodic events on structured earthquake models

doi:10.1088/1674-1056/ab3449

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 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 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/Abstract

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:

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)

李斌全, 吴枝喜, 王圣军. Quasi-periodic events on structured earthquake models[J]. 中国物理B, 2019, 28(9): 90503-090503.

Bin-Quan Li(李斌全), Zhi-Xi Wu(吴枝喜), Sheng-Jun Wang(王圣军). Quasi-periodic events on structured earthquake models[J]. Chin. Phys. B, 2019, 28(9): 90503-090503.

参考文献 50

[42]	Rice J R 1993 J. Geophys. Res. 98 9885 doi: 10.1029/93JB00191
[1]	Gutenberg B and Richter C 1944 Bull. Seismol. Soc. Am. 34 185
[43]	Xu H J and Knopoff L 1994 Phys. Rev. E 50 3577
[2]	Gutenberg B and Richter C 1956 Ann. Geofis. 9 1
[44]	Grassberger P 1994 Phys. Rev. E 49 2436 doi: 10.1103/PhysRevE.49.2436
[3]	Perez-Oregon J, Munoz-Diosdado A, Rudolf-Navarro A H, Guzman-Saenz A and Angulo-Brown F 2018 J. Seismol. 22 1025 doi: 10.1007/s10950-018-9757-6
[45]	Herz A V M and Hopfield J J 1995 Phys. Rev. Lett. 75 1222 doi: 10.1103/PhysRevLett.75.1222
[4]	Bak P, Tang C and Wiesenfeld K 1987 Phys. Rev. Lett. 59 381 doi: 10.1103/PhysRevLett.59.381
[46]	Middleton A A and Tang C 1995 Phys. Rev. Lett. 74 742 doi: 10.1103/PhysRevLett.74.742
[5]	Bak P and Tang C 1989 J. Geophys. Res.:Solid Earth 94 (B11) 15635
[47]	Drossel B 2002 Phys. Rev. Lett. 89 238701 doi: 10.1103/PhysRevLett.89.238701
[6]	Sun B A, Wang L F and Shao J H 2017 Acta Phys. Sin. 66 178103 (in Chinese)
[48]	Ramos O, Altshuler E and Maloy K J 2006 Phys. Rev. Lett. 96 098501 doi: 10.1103/PhysRevLett.96.098501
[7]	Jensen H J 1998 Self-Organized Criticality (Cambridge:Cambridge University Press)
[49]	Ramos O 2010 Tectonophysics 485 321 doi: 10.1016/j.tecto.2009.11.007
[8]	Burridge R and Knopoff L 1967 Bull. Seismol. Soc. Am. 57 341
[50]	Aragon L E and Jagla E A 2013 Geophys. J. Int. 195 1763 doi: 10.1093/gji/ggt330
[9]	Olami Z, Feder H J S and Christensen K 1992 Phys. Rev. Lett. 68 1244 doi: 10.1103/PhysRevLett.68.1244
[10]	Yan F, Pan P Z, Feng X T, Li S J and Jiang Q 2019 Appl. Math. Model. 66 156 doi: 10.1016/j.apm.2018.08.025
[11]	Lherminier S, Planet R, et al. 2019 Phys. Rev. Lett. 122 218501 doi: 10.1103/PhysRevLett.122.218501
[12]	Li B Q and Wang S J 2018 Commun. Theor. Phys. 69 280 doi: 10.1088/0253-6102/69/3/280
[13]	Kazemian J, Dominguez R, Tiampo K F and Klein W 2015 Pure Appl. Geophys. 172 2167 doi: 10.1007/s00024-014-0843-6
[14]	Zhang G Q, Yang Q Y and Zhang A Z 2014 Appl. Math. Comput. 242 346
[15]	Lise S and Jensen H J 1996 Phys. Rev. Lett. 76 2326 doi: 10.1103/PhysRevLett.76.2326
[16]	Chabanol M L and Hakim V 1997 Phys. Rev. E 56 R2343
[17]	Broker H M and Grassberger P 1997 Phys. Rev. E 56 3944 doi: 10.1103/PhysRevE.56.3944
[18]	Kinouchi O, Pinho S T R and Prado C P C 1998 Phys. Rev. E 58 3997 doi: 10.1103/PhysRevE.58.3997
[19]	Lise S and Paczuski M 2002 Phys. Rev. Lett. 88, 228301 doi: 10.1103/PhysRevLett.88.228301
[20]	Pan G J, Zhang D M, Yin Y P and He M H 2006 Chin. Phys. Lett. 23 2811 doi: 10.1088/0256-307X/23/10/051
[21]	Caruso F, Latora V, Pluchino A, Rapisarda A and Tadic B 2006 Eur. Phys. J. B 50 243 doi: 10.1140/epjb/e2006-00110-5
[22]	De Arcangelis L and Herrmann H J 2002 Physica A 308 545 doi: 10.1016/S0378-4371(02)00549-6
[23]	Rozenfeld A F, Cohen R, ben-Avraham D and Havlin S 2002 Phys. Rev. Lett. 89 218701 doi: 10.1103/PhysRevLett.89.218701
[24]	Zhou T and Wang B H 2005 Chin. Phys. Lett. 22 1072 doi: 10.1088/0256-307X/22/5/012
[25]	Lin M, Wang G and Chen T L 2006 Commun. Theor. Phys. 46 1011 doi: 10.1088/0253-6102/46/6/011
[26]	Tanaka I and Hatano T 2017 Eur. Phys. J. B 90 248 doi: 10.1140/epjb/e2017-80295-0
[27]	Li B Q and Wang S J 2018 Phys. Rev. E 98 012309
[28]	Zhang G Q, Baro J, Cheng F Y, Huang H and Wang L 2019 Physica A 525 1463 doi: 10.1016/j.physa.2019.04.025
[29]	Zhang G Q, Tirnakli U, Wang L and Chen T L 2011 Eur. Phys. J. B 82 83 doi: 10.1140/epjb/e2011-10941-4
[30]	Zhang G Q, Wang L and Chen T L 2009 Physica A 388 1249 doi: 10.1016/j.physa.2008.12.043
[31]	Geller R J, Jackson D D, Kagan Y Y and Mulargia F 1997 Science 275 1616 doi: 10.1126/science.275.5306.1616
[32]	Gerstenberger M C, Wiemer S, Jones L M and Reasenberg P A 2005 Nature 435 328 doi: 10.1038/nature03622
[33]	De Arcangelis L, Godano C, Grasso J R and Lippiello E 2016 Phys. Rep. 628
[34]	Biswas S and Goehring L 2018 Philos Trans. A Math. Phys. Eng. Sci. 377 2136
[35]	Sarlis N V, Skordas E S, Varotsos P A, Ramirez-Rojas A and Flores-Marquez E L 2019 Physica A 517 475 doi: 10.1016/j.physa.2018.11.041
[36]	Bakun W H and Lindh A G 1985 Science 229 619 doi: 10.1126/science.229.4714.619
[37]	Savage J C and Cockerham R S 1987 Bull. Seismol. Soc. Am. 77 1347
[38]	Savage J C and Cockerham R S 1987 Bull. Seismol. Soc. Am. 77 1347
[39]	Marzocchi W, Taroni M and Falcone G 2017 Sci. Adv. 3 e1701239
[40]	Carlson J M and Langer J S 1989 Phys. Rev. Lett. 62 2632 doi: 10.1103/PhysRevLett.62.2632
[41]	Rice J R 1993 J. Geophys. Res. 98 9885 doi: 10.1029/93JB00191
[42]	Rice J R 1993 J. Geophys. Res. 98 9885 doi: 10.1029/93JB00191
[43]	Xu H J and Knopoff L 1994 Phys. Rev. E 50 3577
[44]	Grassberger P 1994 Phys. Rev. E 49 2436 doi: 10.1103/PhysRevE.49.2436
[45]	Herz A V M and Hopfield J J 1995 Phys. Rev. Lett. 75 1222 doi: 10.1103/PhysRevLett.75.1222
[46]	Middleton A A and Tang C 1995 Phys. Rev. Lett. 74 742 doi: 10.1103/PhysRevLett.74.742
[47]	Drossel B 2002 Phys. Rev. Lett. 89 238701 doi: 10.1103/PhysRevLett.89.238701
[48]	Ramos O, Altshuler E and Maloy K J 2006 Phys. Rev. Lett. 96 098501 doi: 10.1103/PhysRevLett.96.098501
[49]	Ramos O 2010 Tectonophysics 485 321 doi: 10.1016/j.tecto.2009.11.007
[50]	Aragon L E and Jagla E A 2013 Geophys. J. Int. 195 1763 doi: 10.1093/gji/ggt330

Quasi-periodic events on structured earthquake models

Quasi-periodic events on structured earthquake models

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 50

相关文章 3

Metrics

本文评价

推荐阅读 0

[1]	徐国盛, 万宝年, 宋梅. Bursty events and incremental diffusion in a local diffusion and multi-scale convection system[J]. 中国物理B, 2003, 12(2): 189-197.
[2]	吴忠良. EARTHQUAKE SCALING PARADOX[J]. 中国物理B, 2001, 10(5): 395-397.
[3]	袁坚, 任勇, 山秀明. SELF-ORGANIZED CRITICALITY IN ONE-DIMENSIONAL PACKET FLOW MODEL[J]. 中国物理B, 2000, 9(9): 641-648.