Extended instability criteria in isotropic and anisotropic energy avalanches

作者: M. Georgoulis , R. Kluiving , L. Vlahos

DOI: 10.1016/0378-4371(95)00056-D

关键词: InstabilityLattice (order)MathematicsIsotropyAnisotropyScalingMultifractal systemMultifractal scalingMathematical analysis

摘要: Abstract We demonstrate that adding extended instability criteria to 3D critical-slope sand-pile models has the effect of considerably enhancing self-organized critical state displayed by these models. present two models, an isotropic one which displays large energy-avalanches, and anisotropic shows much shorter more frequent energy bursts. illuminate multifractal nature self-organised in both finding a nontrivial spectrum generalised correlation dimensions from time series showing power-law regions distributions functions for different lattice sizes show scaling behaviour is ruled transformation.

参考文章(30)
Joel Louis Lebowitz, Cyril Domb, Melville S. Green, Phase Transitions and Critical Phenomena ,(1972)
Alfréd Rényi, Wahrscheinlichkeitsrechnung : mit einem Anhang über Informationstheorie VEB Deutscher Verlag der Wissenschaften. ,(1966)
Henrik Jeldtoft Jensen, Kim Christensen, Hans C. Fogedby, 1/f noise, distribution of lifetimes, and a pile of sand. Physical Review B. ,vol. 40, pp. 7425- 7427 ,(1989) , 10.1103/PHYSREVB.40.7425
Ashvin B. Chhabra, K. R. Sreenivasan, Negative dimensions: Theory, computation, and experiment Physical Review A. ,vol. 43, pp. 1114- 1117 ,(1991) , 10.1103/PHYSREVA.43.1114
J. M. Carlson, J. T. Chayes, E. R. Grannan, G. H. Swindle, Self-organized criticality in sandpiles: Nature of the critical phenomenon. Physical Review A. ,vol. 42, pp. 2467- 2470 ,(1990) , 10.1103/PHYSREVA.42.2467
Mogens H. Jensen, Giovanni Paladin, Angelo Vulpiani, Multiscaling in multifractals. Physical Review Letters. ,vol. 67, pp. 208- 211 ,(1991) , 10.1103/PHYSREVLETT.67.208
R. P. Lin, R. A. Schwartz, S. R. Kane, R. M. Pelling, K. C. Hurley, Solar hard x-ray microflares The Astrophysical Journal. ,vol. 283, pp. 421- 425 ,(1984) , 10.1086/162321
H. M. Jaeger, Chu-heng Liu, Sidney R. Nagel, Relaxation at the angle of repose. Physical Review Letters. ,vol. 62, pp. 40- 43 ,(1989) , 10.1103/PHYSREVLETT.62.40
G. Pearce, A. K. Rowe, J. Yeung, A statistical analysis of hard X-Ray solar flares Astrophysics and Space Science. ,vol. 208, pp. 99- 111 ,(1993) , 10.1007/BF00658137
Per Bak, Chao Tang, Kurt Wiesenfeld, Self-organized criticality Physical Review A. ,vol. 38, pp. 364- 374 ,(1988) , 10.1103/PHYSREVA.38.364