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Subdiffusion of volcanic earthquakes

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Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A comparative study is performed on volcanic seismicities at Icelandic volcano, Eyjafjallajökull, and Mt. Etna in Sicily from the viewpoint of complex systems science, and the discovery of remarkable similarities between them is reported. In these seismicities as point processes, the jump probability distributions of earthquakes (i.e., distributions of the distance between the hypocenters of two successive events) are found to obey the exponential law, whereas the waiting-time distributions (i.e., distributions of inter-occurrence time of two successive events) follow the power law. A careful analysis is made about the finite size effects on the waiting-time distributions, and the previously reported results for Mt. Etna (Abe and Suzuki 2015) are reinterpreted accordingly. It is shown that the growth of the seismic region in time is subdiffusive at both volcanoes. The aging phenomenon is commonly observed in the “event-time-averaged” mean-squared displacements of the hypocenters. A comment is also made on (non-)Markovianity of the processes.
Czasopismo
Rocznik
Strony
481--489
Opis fizyczny
Bibliogr. 20 poz.
Twórcy
autor
  • Physics Division, Faculty of Information Science and Engineering, Huaqiao University, Xiamen, China; Department of Physical Engineering, Mie University, Mie, Japan; Institute of Physics, Kazan Federal University, Kazan, Russia
autor
  • College of Science and Technology, Nihon University, Funabashi, Chiba, Japan
Bibliografia
  • 1. Abe S, Suzuki N (2003) Law for the distance between successive earthquakes. J Geophys Res 108(B2):2113. doi:10.1029/2002JB002220
  • 2. Abe S, Suzuki N (2005) Scale-free statistics of time interval between successive earthquakes. Physica A 350(2–4):588–596. doi:10.1016/j.physa.2004.10.040
  • 3. Abe S, Suzuki N (2009) Violation of the scaling relation and non-Markovian nature of earthquake aftershocks. Physica A 388(9):1917–1920. doi:10.1016/j.physa.2009.01.031
  • 4. Abe S, Suzuki N (2012) Aftershocks in modern perspectives: complex earthquake network, aging, and non-Markovianity. Acta Geophys 60(3):547–561. doi:10.2478/s11600-012-0026-8
  • 5. Abe S, Suzuki N (2015) Anomalous diffusion of volcanic earthquakes. EPL 110(5):59001. doi:10.1209/0295-5075/110/59001
  • 6. Bardou F, Bouchaud JP, Aspect A, Cohen-Tannoudji C (2002) Lévy statistics and laser cooling: how rare events bring atoms to rest. Cambridge University Press, Cambridge
  • 7. Barndorff-Nielsen OE, Benth FE, Jensen JL (2000) Markov jump processes with a singularity. Adv Appl Probab 32(3):779–799. doi:10.1017/S0001867800010259
  • 8. Boon JP, Lutsko JF (2017) Temporal diffusion: from microscopic dynamics to generalised Fokker–Planck and fractional equations. J Stat Phys 166(6):1441–1454. doi:10.1007/s10955-017-1716-z
  • 9. Bouchaud JP, Georges A (1990) Anomalous diffusion in disordered media: statistical mechanisms, models and physical applications. Phys Rep 195(4–5):127–293. doi:10.1016/0370-1573(90)90099-N
  • 10. Hill DP, Pollitz F, Newhall C (2002) Earthquake–volcano interactions. Phys Today 55(11):41–47. doi:10.1063/1.1535006
  • 11. Metzler R, Jeon JH, Cherstvy AG, Barkai E (2014) Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking. Phys Chem Chem Phys 16(44):24128–24164. doi:10.1039/c4cp03465a
  • 12. Omori F (1894) On the after-shocks of earthquakes. J Coll Sci Imp Univ Tokyo 7(2):111–200
  • 13. Roman DC, Cashman KV (2006) The origin of volcano-tectonic earthquake swarms. Geology 34(6):457–460. doi:10.1130/G22269.1
  • 14. Schulz JHP, Barkai E, Metzler R (2014) Aging renewal theory and application to random walks. Phys Rev X 4(1):011028. doi:10.1103/PhysRevX.4.011028
  • 15. Shlesinger MF, Zaslavsky GM, Frisch U (eds) (1995) Lévy flights and related topics in physics. Springer, Heidelberg
  • 16. Tejedor V, Bénichou O, Voituriez R, Jungmann R, Simmel F, Selhuber-Unkel C, Oddershede LB, Metzler R (2010) Quantitative analysis of single particle trajectories: mean maximal excursion method. Biophys J 98(7):1364–1372. doi:10.1016/j.bpj.2009.12.4282
  • 17. Tsuji D, Katsuragi H (2015) Temporal analysis of acoustic emission from a plunged granular bed. Phys Rev E 92(4):042201. doi:10.1103/PhysRevE.92.042201
  • 18. Turcotte DL (1997) Fractals and chaos in geology and geophysics, 2nd edn. Cambridge University, Cambridge
  • 19. Utsu T (1961) A statistical study on the occurrence of aftershocks. Geophys Mag 30(4):521–605
  • 20. Zobin VM (2012) Introduction to volcanic seismology, 2nd edn. Elsevier, London
Uwagi
Errata do artykułu s. 481–489
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-8d17cfda-a9f3-47f7-9d81-3b5dcba6764c
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