A kinetically constrained model exhibiting non-linear diffusion and jamming

TL;DR

This paper introduces a classical kinetically constrained model on a triangular ladder that exhibits non-linear diffusion and jamming, with a phase transition at a critical density where many configurations become jammed.

Contribution

It presents a novel kinetically constrained model with a classical-quantum mapping, revealing a dynamical phase transition and generalization to higher dimensions.

Findings

Diffusion coefficient related to inverse quasiparticle mass

At critical density, exponential configurations become jammed

Model can be extended to two dimensions

Abstract

We present a classical kinetically constrained model of interacting particles on a triangular ladder, which displays diffusion and jamming and can be treated by means of a classical-quantum mapping. Interpreted as a theory of interacting fermions, the diffusion coefficient is the inverse of the effective mass of the quasiparticles which can be computed using mean-field theory. At a critical density \r{ho} = 2/3, the model undergoes a dynamical phase transition in which exponentially many configurations become jammed while others remain diffusive. The model can be generalized to two dimensions.