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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/27849

    Title: Extraction of backgrounds in fluctuating systems
    Authors: Pang, Ning-Ning;Tzeng, Wen-Jer
    Contributors: 淡江大學物理學系
    Keywords: Boundary conditions;Computational methods;Global warming;Interfaces (materials);Molecular beam epitaxy;Morphology;Polynomials;Random processes;Substrates;Surface phenomena;Fluctuating systems;Generalized detrended fluctuation analysis (GDFA);Legendre polynomial;Molecular biology
    Date: 2004-03
    Issue Date: 2013-07-09 15:16:18 (UTC+8)
    Publisher: College Park: American Physical Society
    Abstract: We undertake an extensive analytical study on the “generalized detrended fluctuation analysis” method, designed to detect the scaling behaviors of fluctuating systems but exclude out the influences of the backgrounds (or the trends). Through our extensive studies, we systematically extract out the exact backgrounds (or the trends) of the fluctuating systems to any order, expressed in terms of the Legendre polynomial. Our results are exact and can be applied to any (1+1)-dimensional continuous fluctuating systems.
    Relation: Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) 69(3), 031108(3pages)
    DOI: 10.1103/PhysRevE.69.031108
    Appears in Collections:[物理學系暨研究所] 期刊論文

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