Avalanche Interpretation of the Power-Law Energy Spectrum in Three-Dimensional Dense Granular Flow

Abstract

Turbulence is ubiquitous in nonequilibrium systems, and it has been noted that even dense granular flows exhibit characteristics that are typical of turbulent flow, such as the power-law energy spectrum. However, studies on the turbulent-like behavior of granular flows are limited to two-dimensional (2D) flow. We demonstrate that the statistics in three-dimensional (3D) flow are qualitatively different from those in 2D flow. We also elucidate that avalanche dynamics can explain this dimensionality dependence. Moreover, we define clusters of collectively moving particles that are equivalent to vortex filaments. The clusters unveil complicated structures in 3D flows that are absent in 2D flows.

6+6 pages, 4+3 figures

References in corpus (6)

• Meso-scale turbulence in living fluids
• Introduction to quantum turbulence
• Directed percolation criticality in turbulent liquid crystals
• A Universal Transition to Turbulence in Channel Flow
• Particle displacements in the elastic deformation of amorphous materials: local fluctuations vs. non-affine field
• Do hydrodynamically assisted binary collisions lead to orientational ordering of microswimmers?

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• Instantaneous Normal Modes Reveal Structural Signatures for the Herschel-Bulkley Rheology in Sheared Glasses
• The role of microscopic friction in statistics and scaling laws of avalanches
• Influence of Roughness on Granular Avalanches
• The Initiation of Shear Band Formation in Deformed Metallic Glasses from Soft Localized Domains
• Dynamic susceptibilities in dense soft athermal spheres under a finite-rate shear
• Shear flow of frictional spheroids: Comparison between elongated and flattened particles