Ergodicity in natural fault systems

Pure and Applied Geophysics

Volumn 161, Issue 9-10, 2004, Pages 1957-1968

  Tiampo, K F ^a,b   Rundle, J B ^c   Klein, W ^d,e   Sa Martins J S ^f  

^a UNIVERSITY OF COLORADO   (United States)

^b UNIVERSITY OF WESTERN ONTARIO   (Canada)

^c UNIVERSITY OF CALIFORNIA   (United States)

^d USA   (United States)

^e LOS ALAMOS NATIONAL LABORATORY   (United States)

^f FLUMINENSE FEDERAL UNIVERSITY   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EARTHQUAKE MECHANISM; FAULT SLIP; PHYSICS;

EID: 4444324211     PISSN: 00334553     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00024-004-2542-1     Document Type: Article

References (26)

1. BAKUN, W. H. and MCEVILLY, T. V. (1984), Recurrence Models and Parkfield, California, Earthquakes, J. Geophys. Res. 89, 3051-3058.
2. EGOLF, D. (2000), From Nonequilibrium Chaos to Statistical Mechanics, Science 287, 101-104.
3. FERGUSON, C. D., KLEIN, W., and RUNDLE, J. B. (1999), Spinodals, Scaling, and Ergodicity in a Threshold Model with Long-range Stress Transfer, Phys. Rev. E 60, 1359-1373.
4. GASPARD, P., BRIGGS, M. E., FRANCIS, M. K. et al., (1998), Experimental Evidence for Microscopic Chaos, Nature 394, 865-868.
5. GOPAL, A. D. and DURIAN, D. J. (1995), Nonlinear Bubble Dynamics in a Slowly Driven Foam, Phys. Rev. Lett. 75, 2610-2613.
6. HILL, D., EATON, J. P., and JONES, L. M., Seismicity, 1980-86. In The San Andreas Fault System, USGS Prof. Paper 1515 (U. S. GPO, 1990) pp. 115-152.
7. HOPFIELD, J. J. (1982), Neural Networks and Physical Systems with Emergent Collective Computational Abilities, Proc. Nat. Acad. Sci. U.S.A. 79, 2554-2558.
8. HUANG, Y., SALEUR, H., SAMMIS, C., and SORNETTE, D. (1998), Precursors, Aftershocks, Criticality and Self-organized Criticality, Europhys. Lett. 41, 43-49.
9. KAC, M., UHLENBECK, G. E., and HEMMER, P. C. (1963), On the van der Waals Theory ofthe Vapor-liquid Equilibrium. I. Discussion of a One-dimensional Model, J. Math. Phys. 4, 216-228.
10. KANAMORI, H. (1977), Energy-release in Great Earthquakes, J. Geophys. Res. 82, 2981-2987.
11. KLEIN, W., ANGHEL, M., FERGUSON, C. D., RUNDLE, J. B., and SÁ MARTINS, J. S., Statistical analysis of a model for earthquake faults with long-range stress transfer. In Geocomplexity and the Physics of Earthquakes, Geophysical Monograph Ser. 120 (J. B. Rundle, D. L. Turcotte, W. Klein, eds.) (AGU, 2000) pp. 43-71.
12. KLEIN, W., FERGUSON, C., and RUNDLE, J. B., Spinodals and scaling in slider-block models. In Reduction and Predictability of Natural Disasters, SFI Series in the Science of Complexity, XXV (J. B. Rundle, D. L. Turcotte, W. Klein, eds.) (Addison-Wesley, Reading, MA, 1996), 223-242.
13. KLEIN, W., RUNDLE, J. B., and FERGUSON, C. D. (1997), Scaling and Nucleation in Models of Earthquake Faults, Phys. Rev. Lett. 78, 3793-3796.
14. LEIBOWITZ, J. L., Towards a Rigorous Molecular Theory of Metastability. In Studies in Statistical Mechanics: Fluctuation Phenomena (Penrose, O., ed.) (North-Holland 1979), pp 295-340.
15. MAIN, I. G., O'BRIEN, G., and HENDERSON, J. R. (2000), Statistical Mechanics of Earthquake: Comparison of Distribution Exponents for Source Area and Potential Energy and the Dynamic Emergence of Log-periodic Energy Quanta, J. Geophys. Res. 105, 6105-6126.
16. MOREIN, G., TURCOTTE, D. L., GABRIELOV, A. (1997), On the Statistical Mechanics of Distributed Seismicity, Geophys. J. Int. 131, 552-558.
17. NIJHOUT, H. F., Pattern formation and biological systems. In Pattern Formation in the Physical and Biological Sciences, Lecture Notes V, SFI (Addison Wesley, 1997) pp 269-298.
18. RUNDLE, J. B., KLEIN, W., and GROSS, S. (1999), Physical Basis for Statistical Patterns in Complex Earthquake Populations: Models, Predictions and Tests, Pure Appl. Geophs. 155, 575-607.
19. RUNDLE, J. B., KLEIN, W., GROSS, S., and TURCOTTE, D. L. (1995), Boltzmann Fluctuations in Numerical Simulations of Nonequilibrium Lattice Threshold Systems, Phys. Rev. Lett. 75, 1658-1661.
20. RUNDLE, J. B., KLEIN, W., TIAMPO, K. F., and SA MARTINS, J. S. (2002), Self-organization in Leaky Threshold Systems: The Influence of Near-mean Field Dynamics and its Implications for Earthquakes, Neurobiology, and Forecasting, Proc. Nat. Acad. Sci. U.S.A., Suppl. 1, 99, 2514-2521.
21. SIEH, K., STUIVER, M., and BRILLINGER, D. (1989), A More Precise Chronology of Earthquakes Produced by the San Andreas Fault in Southern California, J. Geophys. Res. 94, 603-623.
22. THIRUMALAI, D. and MOUNTAIN, R. D. (1993), Activated Dynamics, Loss of Ergodicity, and Transport in Supercooled Liquids, Phys. Rev. E. 47, 479-489.
23. THIRUMALAI, D., MOUNTAIN, R. D., and KIRKPATRICK, T. R. (1989), Ergodic Behavior in Supercooled Liquids and in Glasses, Phys. Rev. A 39, 3563-3574.
24. TIAMPO, K. F., RUNDLE, J. B., GROSS, S. J., MCGINNIS, S., and KLEIN, W. (2002), J. Geophys. Res. 107, 2354, doi:10.1029/200IJB000562.
25. TIAMPO, K. F., RUNDLE, J. B., KLEIN W., SA MARTINS, J. S., and FERGUSON, C. D., Phys. Rev. Lett. 91, 238501.
26. TURCOTTE, D. L., Fractals and Chaos in Geology and Geophysics, 2nd ed. (Cambridge University Press, 1997).