Persistent dynamic correlations in self-organized critical systems away from their critical point

Physica A: Statistical Mechanics and its Applications

Volumn 373, Issue , 2007, Pages 215-230

  Woodard, Ryan ^a   Newman, David E ^a   Sánchez, Raúl ^b   Carreras, Benjamin A ^c  

^a UNIVERSITY OF ALASKA FAIRBANKS   (United States)

^b UNIVERSIDAD CARLOS III DE MADRID   (Spain)

^c OAK RIDGE NATIONAL LABORATORY   (United States)

Author keywords

Correlations; Hurst; Pulses; Running sandpile; Self organized criticality

Indexed keywords

CORRELATION METHODS; PHYSICAL PROPERTIES; SAND; SELF ORGANIZING STORAGE; STATISTICAL MECHANICS;

CORRELATIONS; HURST; PULSES; RUNNING SANDPILE; SELF-ORGANIZED CRITICALITY;

TIME SERIES ANALYSIS;

EID: 33750448265     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2006.05.001     Document Type: Article

References (33)

1. Bak P., Tang C., and Wiesenfeld K. Self-organized criticality: an explanation of 1 / f noise. Phys. Rev. Lett. 59 (1987) 381
2. Bak P., Tang C., and Wiesenfeld K. Self-organized criticality. Phys. Rev. A 38 1 (1988) 364-374
3. Boffetta G., Carbone V., Giuliani P., Veltri P., and Vulpiani A. Power laws in solar flares: self-organized criticality or turbulence?. Phys. Rev. Lett. 83 22 (1999) 4662-4664
4. Spada E., Carbone V., Cavazzana R., Fattorini L., Regnoli G., Vianello N., Antoni V., Martines E., Serianni G., Spolaore M., and Tramontin L. Search of self-organized criticality processes in magnetically confined plasmas: hints from the reversed field pinched configuration. Phys. Rev. Lett. 86 14 (2001) 3032-3035
5. Sánchez R., Newman D.E., and Carreras B.A. Waiting-time statistics of self-organized criticality systems. Phys. Rev. Lett. 88 6 (2002) 068302
6. Sánchez R., Newman D.E., Ferenbaugh W., Carreras B.A., Lynch V.E., and van Milligen B.P. Quiet-time statistics: a tool to probe the dynamics of self-organized-criticality systems from within the strong overlapping regime. Phys. Rev. E 66 (2002) 036124
7. Is the reliable prediction of individual earthquakes a realistic scientific goal? Multi-author debate on Nature web site, 1999. URL〈 http://www.nature.com/nature/debates/earthquake/〉.
8. Sanchez R., van milligen B., Newman D., and Carreras B. Quiet-time statistics of electrostatic turbulent fluxes from the JET tokamak and the w7-as and tj-ii stellarators. Phys. Rev. Lett. 90 18 (2003) 185005
9. Yang X., Du S., and Ma J. Do earthquakes exhibit self-organized criticality?. Phys. Rev. Lett. 92 (2004) 228501
10. Woodard R., Newman D.E., Sánchez R., and Carreras B.A. Comment on "Do earthquakes exhibit self-organized criticality?". Phys. Rev. Lett. 93 24 (2004) 249801
11. Yang X., Du S., and Ma J. Comment on "Do earthquakes exhibit self-organized criticality?"-reply. Phys. Rev. Lett. 93 24 (2004) 249802
12. Christensen K., and Olami Z. Variation of the Gutenberg-Richter b values and nontrivial temporal correlations in a spring-block model for earthquakes. J. Geophys. Res. 97 B6 (1992) 8729-8735
13. Jensen H.J., Christensen K., and Fogedby H.C. 1 / f noise, distribution of lifetimes, and a pile of sand. Phys. Rev. B 40 10 (1989) 7425-7427
14. Kertész J., and Kiss L.B. The noise spectrum in the model of self-organised criticality. J. Phys. A 23 (1990) L433-L440
15. Hwa T., and Kardar M. Avalanches, hydrodynamics, and discharge events in models of sandpiles. Phys. Rev. A 45 (1992) 7002
16. - α noise from correlations between avalanches in self-organized criticality. Phys. Rev. E 66 (2002) 050101R
17. Dickman R., Vespignani A., and Zapperi S. Self-organized criticality as an absorbing-state phase transition. Phys. Rev. E 57 5 (1998) 5095-5105
18. Dickman R., Munoz M., Vespignani A., and Zapperi S. Paths to self-organized criticality. Braz. J. Phys. 30 1 (2000) 27-41
19. Vespignani A., Dickman R., Munoz M., and Zapperi S. Absorbing-state phase transitions in fixed-energy sandpiles. Phys. Rev. E 62 4 (2000) 4564-4582
20. Pruessner G., and Peters O. Self-organized criticality and absorbing states: lessons from the Ising model. Phys. Rev. E 73 (2006) 025106R. http://arxiv.org/abs/cond-mat/0411709 URL〈 http://arxiv.org/abs/cond-mat/0411709〉.
21. Lu E.T. Avalanches in continuum driven dissipative systems. Phys. Rev. Lett. 74 13 (1995) 2511-2514
22. Newman D.E., Carreras B.A., Diamond P.H., and Hahm T.S. The dynamics of marginality and self-organized criticality as a paradigm for turbulent transport. Phys. Plasmas 3 (1996) 1858
23. Hurst H.E. Long-term storage capacity of reservoirs. Trans. Am. Soc. Civ. Eng. 116 (1951) 770
24. Mandelbrot B.B. Gaussian Self-affinity and Fractals (2002), Springer, Berlin
25. Kadanoff L.P., Nagel S.R., Wu L., and Min Zhou S. Scaling and universality in avalanches. Phys. Rev. A 39 12 (1989) 6524-6537
26. Hinrichsen H. Non-equilibrium critical phenomena and phase transitions into absorbing states. Adv. Phys. 49 7 (2000) 815-958
27. Jensen H.J. Self-Organized Criticality: Emergent Complex Behavior in Physical and Biological Systems (1998), Cambridge University Press, Cambridge
28. Bracewell R.N. The Fourier Transform and Its Applications. third ed. (2000), McGraw-Hill, New York
29. Mandelbrot B.B. Multifractals and 1 / f Noise (1999), Springer, Berlin
30. Mandelbrot B.B. The Fractal Geometry of Nature (1982), W.H. Freeman and Company, New York
31. Yu C.X., Gilmore M., Peebles W., and Rhodes T. Structure function analysis of long-range correlations in plasma turbulence. Phys. Plasmas 10 7 (2003) 2772-2779
32. Gilmore M., Yu C.X., Rhodes T., and Peebles W. Investiations of rescaled range analysis, the hurst exponent, and long-time correlations in plasma turbulence. Phys. Plasmas 9 4 (2002) 1312-1317
33. Peters O., Hertlein C., and Christensen K. A complexity view of rainfall. Phys. Rev. Lett. 88 1 (2002) 018701. http://arxiv.org/abs/cond-mat/0201468 URL〈 http://arxiv.org/abs/cond-mat/0201468〉