Spatiotemporal recurrences of sandpile avalanches

Tarun, Anjali; Paguirigan, Antonino; Batac, Rene C.

doi:10.1016/j.physa.2015.05.016

Cited by 6 publications

(1 citation statement)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…, respectively, where the indices i denote only the nonzero avalanche events and the time t is the iteration time and the location (x, y) is the origin of the occurrence [43]. The corresponding probability density functions P(A), P(T), P(R), and P ( z xy ) and P ( Z xy ) , are then plotted and analyzed.…”

Section: Sandpile With Memory-based Reinforcementmentioning

confidence: 99%

The role of intervention mechanisms on a self-organized system: dynamics of a sandpile with site reinforcement

Sy,

Batac

2024

J. Phys. Complex.

Self Cite

View full text Add to dashboard Cite

We revisit the sandpile model and examine the effect of introducing site-dependent thresholds that increase over time based on the generated avalanche size. This is inspired by the simplest means of introducing stability into a self-organized system: the locations of collapse are repaired and reinforced. Statistically, for the case of finite driving times, we observe that the site-dependent reinforcements decrease the occurrence of very large avalanches, leading to an effective global stabilization. Interestingly, however, long simulations runs indicate that the system will persist in a state of self-organized criticality (SOC), recovering the power-law distributions with a different exponent as the original sandpile. These results suggest that tipping the heavy-tailed power-laws into more equitable and normal statistics may require unrealistic scales of intervention for real-world systems, and that, in the long run, SOC mechanisms still emerge. This may help explain the robustness of power-law statistics for many complex systems.

show abstract

Section: Sandpile With Memory-based Reinforcementmentioning

confidence: 99%