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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/27508

    Title: The lognormal-like distributions in the linear growth equations
    Authors: Pang, Ning-ning;曾文哲;Tzeng, Wen-jer
    Contributors: 淡江大學物理學系
    Date: 2003-09-30
    Issue Date: 2009-12-31 10:13:42 (UTC+8)
    Publisher: World Scientific Publishing
    Abstract: The distributions of the global interfacial widths, correlation functions, and the local interfacial widths of the growth process described by the one-dimensional Edward-Wilkinson equation are shown to be denumerable convolutions of exponential distributions. The same conclusions can also be extended to the distributions of the global interfacial widths for another linear growth equation, describing some super-rough growth processes, in both one- and two-dimensional cases. Most of these distributions display the lognormal-like behavior. We propose that the mechanism provided by the accumulation of exponential random variables may contribute to a lot of the lognormal-like behavior observed in the social and natural sciences.
    Relation: International Journal of Modern Physics B 17(22-24), pp.4300-4307
    DOI: 10.1142/S0217979203022350
    Appears in Collections:[Graduate Institute & Department of Physics] Journal Article

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