Universal scaling for the jamming transition

TL;DR

This paper predicts and verifies universal scaling laws near the jamming transition in sheared granular materials, with critical exponents independent of spatial dimension, supported by molecular dynamics simulations.

Contribution

It introduces a phenomenological theory predicting universal scaling and explicitly determines critical exponents for the jamming transition.

Findings

Critical exponents are independent of spatial dimension.

The phenomenological theory's predictions are confirmed by molecular dynamics simulations.

Universal scaling laws apply near the jamming transition.

Abstract

The existence of universal scaling in the vicinity of the jamming transition of sheared granular materials is predicted by a phenomenology. The critical exponents are explicitly determined, which are independent of the spatial dimension. The validity of the theory is verified by the molecular dynamics simulation.