摘要Hurst's exponent of radial distribution functions (RDFs) within the short-range scope of In, Sn and In-40 wt%Sn melts are determined by the rescaled range analysis method. Hurst's exponents H are between 0.94 and 0.97, which display long−range dependence. Within short-range scope, the number of particles from a reference particle belongs to fractional Brownian motion. After RDF serials are randomly scrambled, Hurst's exponents all dramatically dropped, which proves long-range dependence. H irregularly varies as the temperature rises, but the change tendency is not consistent with the correlation radius rc.
Abstract：Hurst's exponent of radial distribution functions (RDFs) within the short-range scope of In, Sn and In-40 wt%Sn melts are determined by the rescaled range analysis method. Hurst's exponents H are between 0.94 and 0.97, which display long−range dependence. Within short-range scope, the number of particles from a reference particle belongs to fractional Brownian motion. After RDF serials are randomly scrambled, Hurst's exponents all dramatically dropped, which proves long-range dependence. H irregularly varies as the temperature rises, but the change tendency is not consistent with the correlation radius rc.
ZHOU Yong-Zhi;LI Mei;GENG Hao-Ran**;YANG Zhong-Xi;SUN Chun-Jing
. Hurst's Exponent Determination for Radial Distribution Functions of In, Sn and In-40 wt%Sn Melt[J]. 中国物理快报, 2011, 28(12): 120505-120505.
ZHOU Yong-Zhi, LI Mei, GENG Hao-Ran**, YANG Zhong-Xi, SUN Chun-Jing
. Hurst's Exponent Determination for Radial Distribution Functions of In, Sn and In-40 wt%Sn Melt. Chin. Phys. Lett., 2011, 28(12): 120505-120505.
[1] Kong D R and Xie H B 2011 Chin. Phys. Lett. 28 090502
[2] Kadir A, Wang X Y and Zhao Y Z 2011 Chin. Phys. Lett. 28 090503
[3] Hurst H E 1951 Trans. Am. Soc. Civil Eng. 116 770
[4] Hurst H E, Black R P and Simaika Y M 1965 Long-Term Storage: An Experimental Study (London: Constable)
[5] Mandelbrot B B 2002 Gaussian Self-Affinity and Fractals (New York: Springer)
[6] Lam W S, Ray W, Guzdar P N and Roy R 2005 Phys. Rev. Lett. 94 010602
[7] Yu Z G and Anh V 2001 Chaos, Solitons & Fractals 12 1827
[8] Zhuang J J, Ning X B, Yang X D, Hou F Z and Huo C Y 2008 Chinese Phys. B 17 852
[9] Sampaio A L, Lobão D C, Nunes L C S, dos Santos P A M, Silva L and Huguenin J A O 2011 Opt. Laser. Eng. 49 32
[10] Liu Q and Meng T C 2005 Phys. Rev. D 72 014011
[11] Ding G H and Zu F Q 2009 Phys. Lett. A 373 749
[12] Zu F Q, Zhu Z G, Guo L J, Qin X B, Yang H and Shan W J 2002 Phys. Rev. Lett. 89 125505
[13] Kaban I, Gruner S, Hoyer W, Il'inskii A and Shpak A 2007 J. Non-Cryst. Solids 353 1979
[14] Bai Y W, Bian X F, Qin X B, Qin J Y, Lv X Q and Sun J Z 2010 J. Non-Cryst. Solids 356 1823
[15] Elliott S R 1991 Nature 354 445
[16] Peters E E 1991 Chaos and Order in the Capital Markets: A New View of Cycles, Prices, and Market Volatility (New York: Wiley)
[17] Scheinkman J A and LeBaron B 1989 J. Business 62 311
2011, Vol. 28 
