Long-range Ordering of Vibrated Polar Disks

TL;DR

This paper introduces a model that reproduces the collective behavior of vibrated polar disks and demonstrates that true long-range order can be achieved in such systems, differing from dilute particle models.

Contribution

The study presents a comprehensive model that captures the properties of vibrated polar disks and reveals the possibility of long-range order in larger systems.

Findings

True long-range order is achievable in vibrated polar disks.

The phase diagram differs significantly from dilute or point-like particle systems.

Model accurately reproduces experimental single and collective behaviors.

Abstract

Vibrated polar disks have been used experimentally to investigate collective motion of driven particles, where fully-ordered asymptotic regimes could not be reached. Here we present a model reproducing quantitatively the single, binary and collective properties of this granular system. Using system sizes not accessible in the laboratory, we show in silico that true long-range order is possible in the experimental system. Exploring the model's parameter space, we find a phase diagram qualitatively different from that of dilute or point-like particle systems.