Nonextensive models for earthquakes

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 73, Issue 2, 2006, Pages

  Silva, R ^a,b   Franca G S ^c   Vilar, C S ^c   Alcaniz, J S ^a  

^a OBSERVATÓRIO NACIONAL   (Brazil)

^b DEPARTAMENTO DE FÍSICA   (Brazil)

^c FEDERAL UNIVERSITY OF RIO GRANDE DO NORTE   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EARTHQUAKES; ENERGY DISSIPATION; FUNCTIONS; SEISMOLOGY; STATISTICS;

ENERGY DENSITY; ENERGY-DISTRIBUTION FUNCTION (EDF); FRAGMENT-ASPERITY INTERACTION MODELS; MEAN VALUES;

MATHEMATICAL MODELS;

EID: 33344461455     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.73.026102     Document Type: Article

References (39)

1. C. Tsallis, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01016429 52, 479 (1988); See also http://tsallis.cat.cbpf.br/biblio.htm for an updated bibliography.
2. Braz. J. Phys. BJPHE6 0103-9733 10.1590/S0103-97331999000100002 29, 1 (1999)
3. special issue on nonextensive statistical mechanics and thermodynamic, edited by, S. R. A. Salinas, and, C. Tsallis,; Nonextensive EntropyInterdisciplinary Applications, edited by, M. Gell-Mann, and, C. Tsallis, (Oxford University Press, New York, 2004).
4. S. Abe and N. Suzuki, J. Geophys. Res. JGREA2 0148-0227 10.1029/2002JB002220 108, 2113 (2003).
5. Nonextensive Statiscal Mechanics and Its Applications, edited by, S. Abe, and, Y. Okamoto, (Springer, Heidelberg, 2001).
6. S. Abe and N. Suzuki, Physica A PHYADX 0378-4371 350, 588 (2005).
7. G. Gervino, Physica A PHYADX 0378-4371 340, 402 (2004).
8. O. Sotolongo-Costa and A. Posadas, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.048501 92, 048501 (2004).
9. B. Guttenberg and C. F. Richter, Bull. Seismol. Soc. Am. BSSAAP 0037-1106 34, 185 (1944).
10. C. Tsallis, R. S. Mendes, and A. Plastino, Physica A PHYADX 0378-4371 10.1016/S0378-4371(98)00437-3 261, 534 (1998).
11. S. Abe and G. B. Bagci, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.016139 71, 016139 (2005).
12. R. Silva, A. R. Plastino, and J. A. S. Lima, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(98)00710-5 249, 401 (1998);
13. A. R. Plastino and A. Plastino, Braz. J. Phys. BJPHE6 0103-9733 29, 79 (1999);
14. J. A. S. Lima, R. Silva, and A. R. Plastino, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2938 86, 2938 (2001);
15. G. Kaniadakis, Physica A PHYADX 0378-4371 10.1016/S0378-4371(01)00184-4 296, 405 (2001);
16. J. A. S. Lima, R. Silva, and J. Santos, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61.3260 61, 3260 (2000);
17. E. M. F. Curado and F. D. Nobre, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.021107 67, 021107 (2003);
18. M. Shiino, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.056118 67, 056118 (2003);
19. B. Dybiec and E. Gudowska-Nowak, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.016105 69, 016105 (2004).
20. R. Englman, N. Rivier, and Z. Jaeger, Philos. Mag. B PMABDJ 1364-2812 56, 751 (1987).
21. O. Sotolongo-Costa, A. H. Rodriguez, and G. J. Rodgers, Entropie ENTPA5 0013-9084 02, 172 (2000).
22. H. Sauler, C. G. Sammis, and D. Sornette, J. Geophys. Res. JGREA2 0148-0227 10.1029/96JB00876 101, 17661 (1996).
23. R. Burridge and L. Knopoff, Bull. Seismol. Soc. Am. BSSAAP 0037-1106 57, 341 (1967);
24. H. Olami, J. S. Feder, and K. Christensen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.1244 68, 1244 (1992);
25. V. De Rubeis, R. Hallgas, V. Loreto, G. Paladin, L. Pietronero, and P. Tosi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.2599 76, 2599 (1996).
26. H. J. Herrmann, G. Mantica, and D. Bessis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65.3223 65, 3223 (1990).
27. S. Abe, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.031101 68, 031101 (2003).
28. Thorne Lay and Terry C. Wallace, Modern Global Seimology (Academic Press, New York, 1995).
29. V. F. Pisarenko and D. Sornette, Pure Appl. Geophys. PAGYAV 0033-4553 10.1007/s00024-003-2397-x 160, 2343 (2003);
30. V. F. Pisarenko and D. Sornette, Pure Appl. Geophys. PAGYAV 0033-4553 10.1007/s00024-003-2475-0 161, 839 (2004);
31. V. Pisarenko, D. Sornette, and M. Rodkin, Comput. Seismol. VYSEAR 0733-5792 35, 138 (2004).
32. B. M. Boghosian, Braz. J. Phys. BJPHE6 0103-9733 10.1590/S0103- 97331999000100009 29, 91 (1999);
33. I. V. Karlin, M. Grmela, and A. N. Gorban, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.036128 65, 036128 (2002);
34. R. Silva and J. S. Alcaniz, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(03)00858-2 313, 393 (2003);
35. R. Silva and J. S. Alcaniz, Physica A PHYADX 0378-4371 10.1016/j.physa.2004.02.070 341, 208 (2004);
36. G. Kaniadakis, M. Lissia, and A. M. Scarfone, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.046128 71, 046128 (2005);
37. S. H. Hansen, D. Egli, L. Hollenstein, and C. Salzmann, New Astron. NEASFS 1384-1076 10.1016/j.newast.2005.01.005 10, 379 (2005);
38. R. Silva, J. S. Alcaniz, and J. A. S. Lima, Physica A PHYADX 0378-4371 10.1016/j.physa.2005.02.060 356, 509 (2005);
39. R. Silva and J. A. S. Lima, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.057101 72, 057101 (2005).