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29 March 2024
 
  » arxiv » nlin/0702019

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Self-organized criticality in nonconservative mean-field sandpiles
Dranreb Earl Juanico ;
Date 9 Feb 2007
Subject Adaptation and Self-Organizing Systems
AbstractA 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
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