New toppling dynamics for the self-organized critical rainfall model

Andrade, Roberto F. S.; Pinho, Suani Tavares Rubim de; Fraga, Sandro C; Tanajura, Ana Paula M.

doi:10.1016/s0378-4371(02)01071-3

Cited by 8 publications

(4 citation statements)

References 8 publications

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“…[16]. Self-organized criticality in rainfalls was observed in many other studies [72][73][74][75][76], which stimulated many theoretical studies on the subject [77][78][79][80][81].…”

Section: Soc In Rain-fallsmentioning

confidence: 82%

Some properties of sandpile models as prototype of self-organized critical systems

2021

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This paper is devoted to the recent advances in self-organized criticality (SOC), and the concepts. The paper contains three parts; in the first part we present some examples of SOC systems, in the second part we add some comments concerning its relation to logarithmic conformal field theory, and in the third part we report on the application of SOC concepts to various systems ranging from cumulus clouds to 2D electron gases.

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“…[16]. Self-organized criticality in rainfalls was observed in many other studies [72][73][74][75][76], which stimulated many theoretical studies on the subject [77][78][79][80][81].…”

Section: Soc In Rain-fallsmentioning

confidence: 82%

Some properties of sandpile models as prototype of self-organized critical systems

2021

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“…and X(t, τ ) ≡ t u=1 (q(u) − q τ ), and q τ ≡ 1 τ τ t=1 q(t)∆t [16]. Self-organized criticality in rainfalls was observed in many other studies [59][60][61][62][63], which stimulated many theoretical studies on the subject [64][65][66][67][68].…”

Section: Soc In Rain-fallsmentioning

confidence: 99%

Some Properties of Sandpile Models as Prototype of Self-Organized Critical Systems

Najafi,

Tizdast,

Cheraghalizadeh

2020

Preprint

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“…While it may yet prove possible to explain the observed power laws in terms of an open, driven dissipative system [28,29,33], there is no obvious reason for the formation or precipitation of one raindrop to provoke similar events nearby. Given the attendant release of latent heat, one might instead expect a self-limiting tendency in condensation.…”

Section: Rain and Self-organized Criticalitymentioning

confidence: 99%

“…Indeed, sandpile-like models of rainfall have been studied [28,29]. They involve the directed motion of raindrops such that when a given cell contains more than a certain number of drops, the latter move to cells at the level below.…”

Section: Rain and Self-organized Criticalitymentioning

confidence: 99%

Fractal rain distributions and chaotic advection

Dickman¹

2004

Braz. J. Phys.

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Localized rain events have been found to follow power-law distributions over several decades, suggesting parallels between precipitation and seismic activity [O. Peters et al., PRL 88, 018701 (2002)]. Similar power laws can be generated by treating raindrops as passive tracers advected by the velocity field of a two-dimensional system of point vortices [R. Dickman, PRL 90, 108701 (2003)]. Here I review observational and theoretical aspects of fractal rain distributions and chaotic advection, and present new results on tracer distributions in the vortex model.

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New toppling dynamics for the self-organized critical rainfall model

Cited by 8 publications

References 8 publications

Some properties of sandpile models as prototype of self-organized critical systems

Some properties of sandpile models as prototype of self-organized critical systems

Some Properties of Sandpile Models as Prototype of Self-Organized Critical Systems

Fractal rain distributions and chaotic advection

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