Correlation, crossover and broken scaling in the Abelian Manna model
File(s)
Published version
Author(s)
Chen, Letian
Pruessner, Gunnar
Hoai, Nguyen Huynh
Type
Journal Article
Abstract
The role of correlations in self-organized 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 rearranging 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 behavior. This crossover breaks the
simple scaling observed in normal SOC.
Manna model (AMM) in two dimensions. Local correlations of the debris left behind after avalanches are
destroyed by rearranging 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 behavior. This crossover breaks the
simple scaling observed in normal SOC.
Date Issued
2024-03
Date Acceptance
2024-02-14
Citation
Physical Review Research, 2024, 6 (1), pp.1-11
ISSN
2643-1564
Publisher
American Physical Society
Start Page
1
End Page
11
Journal / Book Title
Physical Review Research
Volume
6
Issue
1
Copyright Statement
©2024 American Physical Society. Published by the American Physical Society under the terms of the
Creative Commons Attribution 4.0 International license. Further
distribution of this work must maintain attribution to the author(s)
and the published article’s title, journal citation, and DOI.
Creative Commons Attribution 4.0 International license. Further
distribution of this work must maintain attribution to the author(s)
and the published article’s title, journal citation, and DOI.
License URL
Identifier
https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.6.013248
Publication Status
Published
Article Number
013248
Date Publish Online
2024-03-07