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Updated: Jun 14, 2026
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Kinematic History of a Salient-recess Junction Explored through a Combined Approach of Field Data and Analog Sandbox Modeling
Published on: August 5, 2016
Controlling self-organized criticality in sandpile models.
Daniel O Cajueiro1, R F S Andrade
1Department of Economics, Universidade de Brasília, DF, Brazil.
Summary
We developed an external control method to reduce large avalanche sizes in sandpile models. This approach triggers avalanches locally, minimizing the risk of extreme events in self-organized criticality systems.
Area of Science:
- Complex Systems
- Statistical Physics
- Dynamical Systems
Background:
- Self-organized criticality (SOC) describes systems that naturally evolve to a critical state.
- Sandpile models are canonical examples of SOC, exhibiting power-law distributed avalanche sizes.
- Existing literature lacks effective external controls for mitigating large avalanches in SOC sandpile models.
Purpose of the Study:
- To introduce and evaluate an external control strategy for reducing avalanche sizes in sandpile models.
- To investigate the efficacy of this control in directed Abelian sandpile models under different deposition conditions.
- To explore the trade-off between control cost and the risk of large events.
Main Methods:
- Implementing an external control by triggering avalanches at sites nearing criticality.
- Applying the control to a directed Abelian sandpile model with uncorrelated and correlated depositions.
- Analyzing the impact of the control on avalanche size distribution and event probability.
Main Results:
- The external control effectively reduces the probability of very large avalanches.
- Energy dissipation is localized, leading to more controlled system behavior.
- Correlated depositions are crucial for designing an efficient control heuristic.
- Preliminary findings suggest the control's applicability to undirected sandpile models.
Conclusions:
- An intuitive external control can significantly mitigate large events in SOC sandpile models.
- The proposed control offers a practical approach to managing extreme events in complex systems.
- Further research is warranted to fully explore the control's effectiveness across various sandpile models and parameters.
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