A non-extensive statistical physics approach to the polarity reversals of the geomagnetic field

Physica A: Statistical Mechanics and its Applications

Volumn 390, Issue 10, 2011, Pages 1773-1778

  Vallianatos, Filippos ^a,b  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

^b TECHNOLOGICAL EDUCATIONAL INSTITUTE OF CRETE   (Greece)

Author keywords

Geomagnetic field; Non extensive statistical physics; Polarity reversals

Indexed keywords

GEOMAGNETISM; PROBABILITY DENSITY FUNCTION; STATISTICAL MECHANICS;

GEOMAGNETIC FIELDS; INTENSIVE PARAMETERS; LOCAL EQUILIBRIUM; LONG RANGE INTERACTIONS; LONG-RANGE MEMORY; NON-EXTENSIVE STATISTICAL PHYSICS; POLARITY REVERSAL; TWO DEGREES OF FREEDOM;

DEGREES OF FREEDOM (MECHANICS);

EID: 79952625817     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2010.12.040     Document Type: Article

References (54)

1. P. Driscoll, and P. Olson Earth Planet. Sci. Lett. 282 2009 24
2. D. Ryan, and G. Sarson Geophys. Res. Lett. 34 2007 L02307
3. G.A. Glatzmaier, and R.S. Coe Magnetic reversals in the core P. Olson, Treatise on Geophysics vol. 8 2007 Elsevier B.V.
4. R.T. Merrill, M.W. McElhinny, and P.L. McFadden Paleomagnetism, the Core, and the Deep Mantle 1996 Academic Press San Diego
5. R.T. Merrill, and P.L. McFadden Earth Planet. Sci. Lett. 121 1994 57
6. P. Olson, and U.R. Christensen Earth Planet. Sci. Lett. 250 2006 561
7. S.C. Cande, and D.V. Kent J. Geophys. Res. 100 1995 6093
8. F. Stefani, and G. Gerbeth Phys. Rev. Lett. 94 2005 184506
9. F. Stefani, G. Gerbeth, U. Günther, and M. Xu Earth Planet. Sci. Lett. 243 2006 828
10. F. Stefani, G. Gerbeth, and U. Günther Magnetohydrodynamics 42 2006 123
11. A. Cox, and G.B. Dalrymple J. Geophys. Res. 72 1967 2603
12. C.G. Constable Geomagnetic reversals: rates, timescales, preferred paths, statistical models and simulations C.A. Jones, A.M. Soward, K. Zhang, Earth's Core and Lower Mantle 2003 Taylor and Francis London
13. P.L. McFadden, and R.T. Merrill J. Geophys. Res. 105 2000 28455
14. C. Constable Phys. Earth Planet. Inter. 118 2000 181
15. D. Crossley, O. Jensen, and G. Jacobs Phys. Earth Planet. Inter. 42 1986 143
16. P. De Michelis, and G. Consolini Ann. Geophys. 46 2003 661
17. Y. Gallet, and G. Hulot Geophys. Res. Lett. 24 1997 1875
18. P. Hoyng, and J.J. Duistermaat Europhys. Lett. 68 2004 177
19. A.R.T. Jonkers Phys. Earth Planet. Inter. 135 2003 253
20. L. Sorriso-Valvo, F. Stefani, V. Carbone, G. Nigro, F. Lepteti, A. Vecchio, and P. Veltri Phys. Earth Planet. Inter. 164 2007 197
21. V. Carbone, L. Sorroso-Valvo, A. Vecchio, F. Lepteti, P. Veltri, P. Harabaglia, and I. Guerra Phys. Rev. Lett. 96 2006 128501
22. C. Tsallis S. Abe, Y. Okamoto, Non-Extensive Statistical Mechanics and its Applications 2001 Springer Berlin
23. C. Tsallis Introduction to Non-extensive Statistical Mechanics: Approaching a Complex World 2009 Springer Berlin
24. S. Wei, F. Conghui, and Z. Dehui Earth Sci. Front. 16 5 2009 201
25. S.S. Ivanov Nonlinear Processes Geophys. 3 1996 13
26. C. Tsallis J. Stat. Phys. 52 1988 479
27. C. Tsallis, R.S. Mendes, and A.R. Plastino Phys. Rev. A 261 1998 534
28. M.L. Lyra, and C. Tsallis Phys. Rev. Lett. 80 1998 53
29. C Tsallis Braz. J. Phys. 29 1999 1
30. S. Abe, and N. Suzuki J. Geophys. Res. 108 B2 2003 2113
31. S. Abe, and N. Suzuki Physica A 350 2005 588
32. F. Vallianatos Nat. Hazards Earth Syst. Sci. 9 2009 211
33. F. Vallianatos, and P. Sammonds Physica A 389 2010 4989
34. S. Bogue, and R.T. Merrill Annu. Rev. Earth Planet. Sci. 20 1992 181
35. C. Beck, and E.G.D. Cohen Superstatistics Physica A 322 2003 267
36. C. Beck, E.G.D. Cohen, and H.L. Swinney Phys. Rev. E 72 2005 026304
37. C. Beck Contin. Mech. Thermodyn. 16 2004 293
38. C. Tsallis, and A.M.C. Souza Phys. Rev. E 67 2003 026106
39. C. Beck Europhys. Lett. 64 2003 151
40. C. Beck Phys. Rev. Lett. 87 2001 180601
41. A. Reynolds Phys. Rev. Lett. 91 2003 084503
42. C. Beck Physica D 193 2004 195
43. C. Beck Braz. J. Phys. 39 2009 357
44. J. Dubeis, and C. Pambram C. R. Acad. Sci., Paris Ser. II 311 6 1990 643
45. G. Nigro, and V. Carbone Phys. Rev. E 82 2010 016313
46. K. Ohkitani, and M. Yamada Progr. Theoret. Phys. 81 1989 329
47. R. Coe, L. Hongre, and G. Glatzmaier Philos. Trans. R. Soc. Lond. Ser. A 358 2000 1141
48. G. Glatzmaier, and P. Roberts Phys. Earth Planet. Inter. 91 1995 63
49. G. Glatzmaier, and P. Roberts Physica D 97 1996 81
50. G. Glatzmaier, and P. Roberts Phys. Earth Planet. Inter. 98 1996 207
51. D. Ogden, G. Glatzmaier, and R. Coe Geophys. Astrophys. Fluid Dyn. 100 2006 107
52. P. Olson, R. Coe, P. Driscoll, G. Glatzmaier, and P. Roberts Phys. Earth Planet. Inter. 180 2010 66
53. G. Hulot, C. Finlay, C.G. Constable, N. Olsen, and M. Mandea Space Sci. Rev. 152 2010 159
54. R.A. Muller Geophys. Res. Lett. 29 2002 41