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Large-scale synchrony in weakly interacting automata
1Department of Economics, Rutgers University, New Brunswick, New Jersey 08903, USA.
Summary
Large-scale correlations emerge between two weakly linked sandpile models. These systems exhibit synchronized behavior due to these emergent correlations, as shown by renormalization-group methods.
Area of Science:
- Complex systems
- Statistical physics
- Nonlinear dynamics
Background:
- Spatially distributed systems, such as sandpiles, can exhibit complex emergent behaviors.
- Understanding synchronization phenomena in coupled systems is crucial across various scientific disciplines.
Purpose of the Study:
- To investigate the emergence of large-scale correlations in weakly linked sandpile models.
- To describe the mechanisms leading to synchronized behavior between two spatially distributed systems.
Main Methods:
- Utilized a Monte Carlo implementation.
- Employed renormalization-group techniques.
- Applied algebraic methods to analyze system behavior.
Main Results:
- Identified the emergence of large-scale correlations between the two sandpile models.
- Demonstrated that these correlations lead to synchronized behavior.
- Quantified the interplay between system coupling and emergent synchronization.
Conclusions:
- Weakly linked sandpile models can display synchronized behavior through emergent large-scale correlations.
- Renormalization-group and algebraic methods are effective tools for studying synchronization in complex systems.
- The findings contribute to the understanding of collective phenomena in spatially extended systems.