Sliding susceptibility of a rough cylinder on a rough inclined perturbed surface

TL;DR

This study introduces a susceptibility function to quantify the stick-slip dynamics of a rough metallic cylinder on an inclined surface, revealing power-law behavior and scaling properties through experimental analysis.

Contribution

The paper presents a new susceptibility function to analyze stick-slip dynamics and demonstrates its power-law behavior with experimental validation.

Findings

Susceptibility function ${ta}(L)$ exhibits power-law scaling.

Scaling hypotheses justify the observed behavior.

Experimental results support the theoretical framework.

Abstract

A susceptibility function ${\chi}(L)$ is introduced to quantify some aspects of the intermittent stick-slip dynamics of a rough metallic cylinder of length $L$ on a rough metallic incline submitted to small controlled perturbations and maintained below the angle of repose. This problem is studied from the experimental point of view and the observed power-law behavior of ${\chi}(L)$ is justified through the use of a general class of scaling hypotheses.