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Correlations in the sand pile model: From the log-normal distribution to self-organized criticality |
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| Authors: | Horacio Ceva Javier Luzuriaga |
| Institution: | a Departamento de Física, CNEA, Av. del Libertador 8250, 1429, Buenos Aires, Argentina b Centro Atómico Bariloche and Instituto Balseiro, CNEA and UNC, 8400, Bariloche, Argentina |
| Abstract: | We have studied the approach of the Abelian sand pile model towards the stationary, self-organized criticality state. The uncorrelated limit is shown both numerically and by a simple analysis to follow the log-normal distribution. We introduce and evaluate several correlation fuctions to study the correlated region. |
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