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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/72643

    Title: Exact solution of a one dimensional deterministic sandpile model
    Authors: Chang, D.;Lee, Shin-chang;Tzeng, Wen-jer
    Contributors: 淡江大學物理學系
    Date: 1995-06
    Issue Date: 2013-07-09 15:06:43 (UTC+8)
    Publisher: College Park: American Physical Society
    Abstract: Using the transfer matrix method, we give the exact solution of a deterministic sandpile model for arbitrary $N$, where $N$ is the size of a single toppling. The one- and two-point functions are given in term of the eigenvalues of an $N \times N$ transfer matrix. All the n-point functions can be found in the same way. Application of this method to a more general class of models is discussed. We also present a quantitative description of the limit cycle (attractor) as a multifractal.
    Relation: Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics) 51(6), pp.5515-5519
    DOI: 10.1103/PhysRevE.51.5515
    Appears in Collections:[Graduate Institute & Department of Physics] Journal Article

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