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Effect of thresholding on avalanches and their clustering for interfaces with long-range elasticity
Juha Savolainen1, Lasse Laurson2, Mikko Alava1,3
1Department of Applied Physics, Aalto University, PO Box 11000, 00076 Aalto, Finland.
Physical Review. E
|June 16, 2022
Summary
Choosing a detection threshold in bursty systems impacts avalanche correlations. Higher thresholds lead to steeper distributions and temporal clustering, with event size predicting subsequent activity.
Area of Science:
- Physics
- Complex Systems
- Statistical Mechanics
Background:
- Avalanches in bursty systems are typically defined by exceeding a detection threshold.
- The selection of this threshold can influence not only the count but also the temporal correlations of observed events.
- Understanding these correlations is crucial for characterizing the dynamics of complex systems.
Purpose of the Study:
- To investigate how different detection thresholds affect avalanche size and duration distributions.
- To analyze the impact of threshold choice on temporal avalanche clustering.
- To explore the predictability of avalanche behavior within clusters.
Main Methods:
- Simulation of the depinning of a long-range elastic interface.
- Application of various detection thresholds, including a zero threshold, to the simulated data.
- Analysis of event size and duration distributions.
- Utilizing seismological methods to study temporal correlations and clustering.
Main Results:
- Higher detection thresholds resulted in steeper size and duration distributions for avalanches.
- Increased thresholds led to significant temporal clustering of avalanche events.
- The frequency of events within clusters decreased as a power-law of time.
- The size of an event within a cluster was found to be predictive of the number of subsequent events.
Conclusions:
- The choice of detection threshold is a critical parameter that can alter the observed dynamics and correlations in bursty systems.
- Higher thresholds can reveal temporal clustering phenomena not apparent with lower thresholds.
- Event size serves as a predictor for future activity within temporal clusters, offering insights into system predictability.
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