Jamming transition in kinetically constrained models with reflection symmetry

TL;DR

This paper introduces a new class of kinetically constrained models with reflection symmetry, demonstrating a freezing transition at a non-trivial density and suggesting different mechanisms from previously studied models.

Contribution

The paper proposes an extended kinetically constrained model with reflection symmetry and proves the existence of a freezing transition on the square lattice.

Findings

Model exhibits a freezing transition at a non-trivial density

Different mechanism from spiral model for singular behaviors near transition

Numerical experiments support the conjecture about the transition mechanism

Abstract

A class of kinetically constrained models with reflection symmetry is proposed as an extension of the Fredrickson-Andersen model. It is proved that the proposed model on the square lattice exhibits a freezing transition at a non-trivial density. It is conjectured by numerical experiments that the known mechanism of the singular behaviors near the freezing transition in a previously studied model (spiral model) is not responsible for that in the proposed model.