Residence Time Distribution of Sand Grains in the 1-Dimensional Abelian Sandpile Model
نویسندگان
چکیده
We study the probability distribution of residence time, T , of the sand grains in the one dimensional abelian sandpile model on a lattice of L sites, for T << L and T >> L. The distribution function decays as exp(−L L2 ). We numerically calculate the coefficient KL for the value of L upto 150 . Interestingly the distribution function has a scaling form 1 La f( T Lb ) with a 6= b for large L. Keywords—Sandpile Model; Residence time.
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