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Self-organized criticality in nonconservative mean-field sandpiles | Dranreb Earl Juanico
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9 Feb 2007 | Subject: | Adaptation and Self-Organizing Systems | Abstract: | A mean-field sandpile model that exhibits self-organized criticality (SOC) despite violation of the grain-transfer conservation law during avalanches is proposed. The sandpile consists of $N$ agents and possesses background activity with intensity $etain[0,1]$. Background activity is characterized by transitions between two stable agent states. Analysis employing theories of branching processes and fixed points reveals a transition from sub-critical to SOC phase that is determined by $eta N$. The model is used to explain the school size distribution of free-swimming tuna as a result of population depletion. | Source: | arXiv, nlin/0702019 | Services: | Forum | Review | PDF | Favorites |
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