Transition on the relationship between fractal dimension and Hurst exponent in the long-range connective sandpile models

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Title:	Transition on the relationship between fractal dimension and Hurst exponent in the long-range connective sandpile models
Authors:	Chen,CC;Lee,YT;Hasumi,T;Hsu,HL
Contributors:	地球物理研究所
Keywords:	SELF-ORGANIZED CRITICALITY;SMALL-WORLD NETWORKS;EARTHQUAKE POPULATIONS;LRCS MODEL;EVOLUTION;DYNAMICS;FAULTS;NOISE
Date:	2011
Issue Date:	2012-03-27 17:37:38 (UTC+8)
Publisher:	國立中央大學
Abstract:	The relationships between the Hurst exponent H and the power-law scaling exponent B in a new modification of sandpile models, i.e. the long-range connective sandpile (LRCS) models, exhibit a strong dependence upon the system size L. As L decreases. the LRCS model can demonstrate a transition from the negative to positive correlations between H- and B-values. While the negative and null correlations are associated with the fractional Gaussian noise and generalized Cauchy processes, respectively, the regime with the positive correlation between the Hurst and power-law scaling exponents may suggest an unknown, interesting class of the stochastic processes. (C) 2010 Elsevier B.V. All rights reserved.
Relation:	PHYSICS LETTERS A
Appears in Collections:	[Graduate Institute of Geophysics] journal & Dissertation

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