摘要
The Levy-stability of self-affine random cascading model is investigated in some detail. It is found that the Levy-stability indices of cascading process depend upon not only the dynamical fluctuation parameter a but also the way of shrinking phase space when calculating scaled factorial moments, which propose a quantitative criterion to determine whether the dynamical fluctuation is anisotropic. Besides, the puzzle of Levy-stability violation of NA22 data is comprehensively solved under the hypothesis of anisotropic dynamical fluctuation.
The Levy-stability of self-affine random cascading model is investigated in some detail. It is found that the Levy-stability indices of cascading process depend upon not only the dynamical fluctuation parameter a but also the way of shrinking phase space when calculating scaled factorial moments, which propose a quantitative criterion to determine whether the dynamical fluctuation is anisotropic. Besides, the puzzle of Levy-stability violation of NA22 data is comprehensively solved under the hypothesis of anisotropic dynamical fluctuation.
基金
supported in part by the National Natural Science Foundation of China
the DYTF of the state Education Commssion of China and the CGP of Wuhan City.
