Diffusion induced mode switching in avalanching systems
Michal Bregman
Abstract
Most avalanching systems in nature should involve diffusive processes as well which can change the behavior of such systems and should be taken into account. We examine the effects of diffusion on the model of a dissipative bi-directional burning model. It is shown that the system behavior progressively changes with the increase of diffusion. Avalanches of small sizes become suppressed and large quasiperiodic bursts develop. In contrast with sandpiles these bursts are not edge triggered and the transition is gradual.
Create a lesson
Related papers
Dynamics-preserving network reductions for ride-pooling paths
Karolin Stiller, Nora Molkenthin
Reconstructing the information processing capacity of physical systems from noisy observations
Shun Kotoku, Rodrigo Martínez-Peña, Takatomo Mihana et al.
Spatio-temporal structures in frog chorus with two species examined by laboratory experiments and mathematical modeling
Kanato Kawaguchi, Ryu Takeda, Ikkyu Aihara
Phase-delays shape multistability and basin sizes in Kuramoto networks: analytical estimates from network structure
Kalel L. Rossi, Antonio Mihara, Lyle E. Muller et al.
Arithmetic of the sync basin for pulse-coupled oscillato
K. P. O'Keeffe
Synchronization Pathways and Resilience in Power Grids
Cook Hyun Kim, Jihye Kim, Sangjoon Park et al.