淡江大學機構典藏:Item 987654321/72642
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    Title: Exact solution of a deterministic sandpile model in one dimension
    Authors: Lee, Shih-chang;Liang, N.Y.;Tzeng, W.J.
    Contributors: 淡江大學物理學系
    Date: 1991-09
    Issue Date: 2013-07-09 15:06:49 (UTC+8)
    Publisher: College Park: American Physical Society
    Abstract: We present an exact solution of a one-dimensional sandpile model for which sand is dropped along the wall and N=2 grains of sand fall over the neighboring downhill sites when the critical slope is exceeded. The slopes of N consecutive sites organize into a local state. The time evolution of the local states along the spatial direction shows a natural tree structure. As a result, various multifractals can be identified. The spatial two-point correlation function decreases exponentially with a correlation length of the order of the lattice spacing.
    Relation: Physical Review Letters 67(12), pp.1479-1481
    DOI: 10.1103/PhysRevLett.67.1479
    Appears in Collections:[Graduate Institute & Department of Physics] Journal Article

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