Critical scaling of jammed system after quench of temperature

TL;DR

This paper investigates the critical behavior of soft repulsive particles near the jamming transition after a temperature quench, revealing protocol-dependent critical density but protocol-independent critical exponents.

Contribution

It provides numerical evidence of critical scaling laws in mean square displacement and pressure, and shows that critical exponents align with phenomenological predictions.

Findings

Mean square displacement and pressure follow critical scaling laws.

Critical density depends on the preparation protocol.

Critical exponents are independent of the protocol.

Abstract

Critical behavior of soft repulsive particles after quench of temperature near the jamming trasition is numerically investigated. It is found that the plateau of the mean square displacement of tracer particles and the pressure satisfy critical scaling laws. The critical density for the jamming transition depends on the protocol to prepare the system, while the values of the critical exponents which are consistent with the prediction of a phenomenology are independent of the protocol.