Abstract
We report on theoretical and numerical investigations of a series of simple models of earthquake faults. We find that the range of stress transfer, the nature of the friction force, the magnitude of the noise, and the “fault” geometry all play an important role in determining the statistics of earthquakes. In addition to providing some understanding of the nature of faults and fault systems, these studies raise interesting questions about the nature of equilibrium.
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References
R. Burridge, L. Knopoff, Bull. Seismo. Soc. Am. 57, 341 (1967)
J.B. Rundle, D.D. Jackson, Bull. Seismo. Soc. Am. 67, 1363 (1977)
J.B. Rundle, S.R. Brown, J. Stat. Phys. 65, 403 (1991)
Z. Olami et al., Phys. Rev. Lett. 68, 1244 (1992)
J.M. Carlson, J.S. Langer, Phys. Rev. A 40, 884 (1991)
J. Xia et al., Phys. Rev. E 77, 031132 (2008)
T. Mori, H. Kawamura, Phys. Rev. E 77, 051123 (2008)
J.B. Rundle et al., Phys. Rev. E 56, 293 (1997)
J.B. Rundle et al., Phys. Rev. Lett. 78, 3798 (1997)
W. Klein et al., Phys. Rev. Lett. 78, 3793 (1997)
W. Klein et al., in GeoComplexity and the Physics of Earthquakes, J. B. Rundle, D. L. Turcotte and W. Klein, eds. (Am. Geophys. Union, 2000)
R. Zwanzig, Non-equilibrium Statistical Mechanics (Oxford University Press, Oxford, 2001)
D. Thirumalai, R.D. Mountain, Phys. Rev. A 42, 4574 (1990)
C.A. Serino et al., Phys. Rev. Lett. 106, 108501 (2011)
C.D. Ferguson, Numerical Investigations of an Earthquake Fault Based on a Cellular Automaton, Slider Block Model, Ph.D. thesis, Boston University (1997)
C. A. Serino, Statistical Properties of Systems with Damage and Defects, Ph.D. thesis, Boston University (2012)
W. Klein et al., Phys. Rev. E 75, 031114 (2007)
D. Stauffer, Introduction to Percolation Theory (Taylor and Francis, Abingdon, 1994)
M. Sahimi et al., Phys. A 191A, 57 (1992)
The Advanced National Seismic System Catalog hosted by the Northern California Earthquake Data Center and the Northern California Seismic Network, U. S. Geological Survey, Menlo Park; Berkeley Seismological Laboratory, University of California, Berkeley, www.needc.org/anss
S. Wiemer, M. Wyss, Bull. Seismol. Soc. Am. 90, 859 (2000)
X. Gu, Modified Earthquake Olami-Feder-Christensen Model with Low Noise and Asperities, Ph.D. thesis, Boston University (2016)
Acknowledgments
This work was funded by the DOE through grant DE-FG02-95ER14498.
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Klein, W. et al. (2017). Statistical Mechanics Perspective on Earthquakes. In: Salje, E., Saxena, A., Planes, A. (eds) Avalanches in Functional Materials and Geophysics. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-45612-6_1
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DOI: https://doi.org/10.1007/978-3-319-45612-6_1
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