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    National Tsing Hua University Institutional Repository > 電機資訊學院 > 電機工程學系 > 期刊論文 >  Effects of pair correlation on mean-field theory of BTW sand pile model


    Please use this identifier to cite or link to this item: http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/83476


    Title: Effects of pair correlation on mean-field theory of BTW sand pile model
    Authors: H.-S. Chen;G. Y.Wu
    教師: 吳玉書
    Date: 2010
    Publisher: Elsevier
    Relation: Physica A, Elsevier, Volume 389, Issue 12, JUN 15 2010, Pages 2339-2350
    Keywords: SELF-ORGANIZED CRITICALITY
    1/F NOISE
    AVALANCHES
    SANDPILES
    NETWORKS
    DYNAMICS
    Abstract: We extend the mean-field calculation of BTW sand pile model to one that includes the correlation between pairs of nearest neighbors. Specifically, we derive dynamical equations of both one-site and two-site densities, and solve the equations order by order starting with the mean-field solution. The investigation provides analytical results for both stationary and dynamic states of the sand pile near the critical point, which are valid in the regime where h << epsilon(2) << 1 (h = incoming rate of sand grains, e = bulk dissipation rate of sand grains). In the stationary case, we evaluate the pair correlation and the correction to the mean-field single-site densities due to the correlation. The correction is found to be of the same order as the mean-field solution. In the dynamic case, the initial state deviates from the stationary state by a small fluctuation, which subsequently decays exponentially, with the time constant being reduced from the corresponding mean-field value. Again, the correction to the time constant in this case is found comparable to the mean-field value itself.
    Relation Link: http://www.elsevier.com/
    URI: http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/83476
    Appears in Collections:[電機工程學系] 期刊論文
    [電子工程研究所] 期刊論文
    [物理系] 期刊論文

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