21aWF-5 Self-Organized Criticality of the Second Kind : Two-Component Sandpile Model

概要

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We report the property of two-component sandpile model which has multiple conservation laws of sand and and toppling rule which create an infinite number of states. We have focused on an avalanche magnitude S and lifetime T and have found that the distribution shows universal power-law behavior with numerical simulations. Figure 1 is the typical histograms. The exponents are close to that of branching processes'. However the right side of the distributions deviate from expected power-law lines respectively which is different from traditional SOC. This result comes from the periodic boundary condition which vanishes artificial cutoffs. According to numerical simulations and meanfield theory, we have found that the distributions are stendy even though the states aren't steady because grains are constantly increasing for the reason of the absence of boundary dissipations.
社団法人日本物理学会の論文
2003-08-15