Power-law distribution of the flux avalanches in a Josephson medium

Gerashchenko, O. V.

doi:10.1088/1742-5468/2009/01/p01037

Cited by 4 publications

(3 citation statements)

References 22 publications

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“…Thus, while SOC has been reportedly validated as a sound theoretical approach to a variety of nonequilibrium dynamical systems having extended spatial degrees of freedom, such as neural networks (Levina, Herrmann, and Geisel, 2007) and granular high-T c superconductors (Gerashchenko, 2009), its applicability to avalanches in granular matter is still controversial. Recently, a more comprehensive theoretical framework for driven systems with many degrees of freedom based on the renormalization group has been proposed (Sethna, Dahmen, and Myers, 2001).…”

Section: Dense Granular Flowsmentioning

confidence: 99%

Complexity, segregation, and pattern formation in rotating-drum flows

2011

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Rotating-drum flows span a variety of research areas, ranging from physics of granular matter through hydrodynamics of suspensions to pure liquid coating flows. Recent years have seen an intensified scientific activity associated with this unique geometrical configuration, which has contributed to our understanding of related subjects such as avalanches in granules and segregation in suspensions. The existing literature related to rotating-drum flows is reviewed, highlighting similarities and differences between the various flow realizations. Scaling laws expressing the importance of different mechanisms underlying the observed phenomena have been focused on. An emphasis is placed on pattern formation phenomena. Rotating-drum flows exhibit stationary patterns as well as traveling and oscillating patterns; they exhibit reversible transitions as well as hysteresis. Apart from the predominant cylindrical configuration, this review covers recent work done with tumblers having other geometries, such as the sphere and the Hele-Shaw cell

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Section: Dense Granular Flowsmentioning

confidence: 99%

Complexity, segregation, and pattern formation in rotating-drum flows

2011

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“…The conditions under which a system exhibits SOC and simple power law distributions for the size and duration of its response have been the subject of numerous theoretical and numerical simulations with relatively few experimental investigations [16][17][18]; a history we have described previously in detail [19].…”

Section: Introductionmentioning

confidence: 99%

“…This theory of self-organized criticality (SOC) has been applied to many systems including earthquakes [12,13], neuronal avalanches [14], and stock market trends [15]. The conditions under which a system exhibits SOC and simple power law distributions for the size and duration of its response have been the subject of numerous theoretical and numerical simulations with relatively few experimental investigations [16][17][18]; a history we have described previously in detail [19].…”

Section: Introductionmentioning

confidence: 99%

Avalanches on a conical bead pile: scaling with tuning parameters

et al. 2012

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Uniform spherical beads were used to explore the scaling behavior of a granular system near its critical angle of repose on a conical bead pile. We found two tuning parameters that could take the system to a critical point. The existence of those tuning parameters violates the fundamental assumption of self-organized criticality, which proposed that complex dynamical systems self-organize to a critical point without need for tuning. Our avalanche size distributions were well described by a simple power-law with the power τ = 1.5 when dropping beads slowly onto the apex of a bead pile from a small height. However, we could also move the system from the critical point using either of two tuning parameters: the height from which the beads fell onto the top of the pile or the region over which the beads struck the pile. As the drop height increased, the system did not reach the critical point yet the resulting distributions were independent of the bead mass, coefficient of friction, or coefficient of restitution. All our apex-dropping distributions for any type of bead (glass, stainless steel, zirconium) showed universality by scaling onto a common curve with τ = 1.5 and σ = 1.0, where 1/σ is the power of the tuning parameter. From independent calculations using the moments of the distribution, we find values for τ = 1.6 ± 0.1 and σ = 0.91 ± 0.15. When beads were dropped across the surface of the pile instead of solely on the apex, then the system also moved from the critical point and again the avalanche size distributions fell on a common curve when scaled similarly using the same values of τ and σ . We also observed that an hcp structure on the base of the pile caused an emergent structure in the pile that had six faces with some fcc or hcp structure.

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