An Aspect of Granulence in view of Multifractal Analysis

TL;DR

This paper applies multifractal analysis to granular flow velocity fluctuations, revealing that granulence shares scaling properties with fluid turbulence, thus bridging concepts between these two complex systems.

Contribution

It introduces the use of multifractal analysis to study granulence, demonstrating shared scaling features with turbulence in granular flow.

Findings

Granulence exhibits multifractal scaling similar to turbulence.

Velocity fluctuation PDFs follow multifractal characteristics.

Granulence and turbulence share underlying scaling laws.

Abstract

The probability density function of velocity fluctuations of {\em glanulence} observed by Radjai and Roux in their two-dimensional simulation of a slow granular flow under homogeneous quasistatic shearing is studied by the multifractal analysis for fluid turbulence proposed by the present authors.It is shown that the system of granulence and of turbulence have indeed common scaling characteristics.