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Updated: Jun 19, 2026
11:34
Scattering And Absorption of Light in Planetary Regoliths
Published on: July 1, 2019
Propagation of extremes in space
1Institut Royal Météorologique de Belgique, 3 Avenue Circulaire, 1180 Brussels, Belgium.
Summary
Extreme events in spatiotemporal chaos propagate like a generalized random walk. This study maps their movement, revealing linear displacement over time and long-range jumps, crucial for understanding chaotic systems.
Area of Science:
- Physics
- Complex Systems
- Dynamical Systems
Background:
- Spatiotemporal chaos describes complex systems exhibiting both temporal and spatial disorder.
- Understanding the propagation of extreme events within these systems is crucial for predicting their behavior.
Purpose of the Study:
- To analyze the propagation of extreme events in dynamical systems exhibiting spatiotemporal chaos.
- To map this propagation process to a generalized random walk model.
Main Methods:
- Analysis of a class of dynamical systems.
- Mapping the propagation of extreme events to a generalized random walk.
- Investigating mean square displacement and jump probabilities.
Main Results:
- The propagation of extreme events can be accurately modeled as a generalized random walk.
- Mean square displacement shows a linear increase over time.
- A non-vanishing probability for jumps beyond nearest neighbors was observed.
Conclusions:
- The generalized random walk model provides a powerful framework for understanding extreme event propagation in spatiotemporal chaos.
- Both local dynamics and spatial coupling play significant roles in event propagation.
- This research offers insights into the fundamental mechanisms driving extreme event dynamics in complex systems.
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