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arXiv · 2311.03513

Correlation, crossover and broken scaling in the Abelian Manna Model

Letian Chen·Hoai Nguyen Huynh·Gunnar Pruessner
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Abstract

The role of correlations in self-organised critical (SOC) phenomena is investigated by studying the Abelian Manna Model (AMM) in two dimensions. Local correlations of the debris left behind after avalanches are destroyed by re-arranging particles on the lattice between avalanches, without changing the one-point particle density. It is found that the spatial correlations are not relevant to small avalanches, while changing the scaling of the large (system-wide) ones, yielding a crossover in the model's scaling behaviour. This crossover breaks the simple scaling observed in normal SOC.

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Letian Chen, Hoai Nguyen Huynh, Gunnar Pruessner. 2023-11-06. Correlation, crossover and broken scaling in the Abelian Manna Model. https://arxiv.org/abs/2311.03513

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