@article{e312fc885c1e4f23960f00b651f871f6,

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

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.",

keywords = "Earthquakes, Fractional Brownian motion, Generalized Cauchy process, Long-range connection, Sandpile model, Stochastic process",

author = "Chen, {Chien Chih} and Lee, {Ya Ting} and Tomohiro Hasumi and Hsu, {Han Lun}",

note = "Funding Information: C.-c.C. is grateful for research support from both the National Science Council (ROC) and the Institute of Geophysics (NCU, ROC) . T.H. would like to thank the support by the Japan Society for the Promotion Science (JSPS) and by the Earthquake Research Institute corporative research program at the University of Tokyo.",

year = "2011",

month = jan,

day = "17",

doi = "10.1016/j.physleta.2010.11.021",

language = "???core.languages.en_GB???",

volume = "375",

pages = "324--328",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

number = "3",

}