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Main Authors: Yu, ShuChang, Shang, Jin, Chen, YangRui, Li, Ran, Chen, Quan, Yang, Hui, Zheng, Hu, Zhang, Jie
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2503.12558
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author Yu, ShuChang
Shang, Jin
Chen, YangRui
Li, Ran
Chen, Quan
Yang, Hui
Zheng, Hu
Zhang, Jie
author_facet Yu, ShuChang
Shang, Jin
Chen, YangRui
Li, Ran
Chen, Quan
Yang, Hui
Zheng, Hu
Zhang, Jie
contents This study used Speckle Visibility Spectroscopy to examine velocity fluctuations in a three-dimensional granular heap flow, where the mean velocity profile consists of a fast-flow surface layer and a creep layer beneath. The velocity spectra follow power-law scalings, $E(f) \propto f^α$, with $α\approx -0.85$ in the surface flow layer -- matching the Self-Organized Criticality (SOC) model with open boundaries ($α\approx -0.95$). In the creep layer, $α$ decreases with depth, reaching $α\approx -1.5$ at approximately 55 mean particle diameters, consistent with the SOC model with closed boundaries ($α\approx -1.58$). Analysis of the fluctuation velocity distributions offers additional insights into the microscopic origins of the spectrum's characteristics. These findings help resolve the long-standing puzzle of flow localization in gravity-driven granular flows despite a constant shear stress-to-pressure ratio throughout the material.
format Preprint
id arxiv_https___arxiv_org_abs_2503_12558
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Power Spectra of Velocity Fluctuations in Granular Heap Flow
Yu, ShuChang
Shang, Jin
Chen, YangRui
Li, Ran
Chen, Quan
Yang, Hui
Zheng, Hu
Zhang, Jie
Soft Condensed Matter
This study used Speckle Visibility Spectroscopy to examine velocity fluctuations in a three-dimensional granular heap flow, where the mean velocity profile consists of a fast-flow surface layer and a creep layer beneath. The velocity spectra follow power-law scalings, $E(f) \propto f^α$, with $α\approx -0.85$ in the surface flow layer -- matching the Self-Organized Criticality (SOC) model with open boundaries ($α\approx -0.95$). In the creep layer, $α$ decreases with depth, reaching $α\approx -1.5$ at approximately 55 mean particle diameters, consistent with the SOC model with closed boundaries ($α\approx -1.58$). Analysis of the fluctuation velocity distributions offers additional insights into the microscopic origins of the spectrum's characteristics. These findings help resolve the long-standing puzzle of flow localization in gravity-driven granular flows despite a constant shear stress-to-pressure ratio throughout the material.
title Power Spectra of Velocity Fluctuations in Granular Heap Flow
topic Soft Condensed Matter
url https://arxiv.org/abs/2503.12558