Correlation, crossover, and broken scaling in the Abelian Manna model
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 th...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2024-03-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.6.013248 |
| _version_ | 1797210243943366656 |
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| author | Letian Chen Hoai Nguyen Huynh Gunnar Pruessner |
| author_facet | Letian Chen Hoai Nguyen Huynh Gunnar Pruessner |
| author_sort | Letian Chen |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-24T10:07:30Z |
| format | Article |
| id | doaj.art-8c22464caf6d4c8c85c1f3e9765db859 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:07:30Z |
| publishDate | 2024-03-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-8c22464caf6d4c8c85c1f3e9765db8592024-04-12T17:40:07ZengAmerican Physical SocietyPhysical Review Research2643-15642024-03-016101324810.1103/PhysRevResearch.6.013248Correlation, crossover, and broken scaling in the Abelian Manna modelLetian ChenHoai Nguyen HuynhGunnar PruessnerThe 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.http://doi.org/10.1103/PhysRevResearch.6.013248 |
| spellingShingle | Letian Chen Hoai Nguyen Huynh Gunnar Pruessner Correlation, crossover, and broken scaling in the Abelian Manna model Physical Review Research |
| title | Correlation, crossover, and broken scaling in the Abelian Manna model |
| title_full | Correlation, crossover, and broken scaling in the Abelian Manna model |
| title_fullStr | Correlation, crossover, and broken scaling in the Abelian Manna model |
| title_full_unstemmed | Correlation, crossover, and broken scaling in the Abelian Manna model |
| title_short | Correlation, crossover, and broken scaling in the Abelian Manna model |
| title_sort | correlation crossover and broken scaling in the abelian manna model |
| url | http://doi.org/10.1103/PhysRevResearch.6.013248 |
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