Correlation, crossover and broken scaling in the Abelian Manna Model
Statistical Mechanics
2023-11-08 v1
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.
Keywords
Cite
@article{arxiv.2311.03513,
title = {Correlation, crossover and broken scaling in the Abelian Manna Model},
author = {Letian Chen and Hoai Nguyen Huynh and Gunnar Pruessner},
journal= {arXiv preprint arXiv:2311.03513},
year = {2023}
}