Rheology of sheared granular particles near jamming transition

TL;DR

This study explores the flow behavior of granular materials under shear near the jamming point, using numerical methods to determine critical parameters and compare them with theoretical predictions.

Contribution

It provides new numerical estimates of critical exponents and the jamming point, refining previous theoretical models with finite size scaling and nonlinear minimization techniques.

Findings

Critical fraction and exponents determined numerically

Exponents closely match theoretical predictions

Small discrepancies observed in critical point estimation

Abstract

We investigate the rheology of sheared granular materials near the jamming transition point. We numerically determine the values of the critical fraction and the exponents for the jamming transition using a finite size scaling and the nonlinear minimization method known as the Levenberg-Marquardt algorithm. The exponents are close to our previous theoretical prediction, but there is a small discrepancy, if the critical point is independently determined.