Hidden Order Beyond Hyperuniformity in Critical Absorbing States

TL;DR

This paper uncovers additional complex correlations in disordered systems near criticality, extending beyond hyperuniformity, indicating a more intricate hidden order in such systems.

Contribution

It reveals the existence of higher-order correlations beyond hyperuniformity in critical absorbing states, showing they extend over longer length scales with faster divergence.

Findings

Higher moments reveal hidden correlations beyond hyperuniformity.

These correlations extend over longer length scales.

They diverge faster near the critical point.

Abstract

Disordered hyperuniformity is a description of hidden correlations in point distributions revealed by an anomalous suppression in fluctuations of local density at various coarse-graining length scales. In the absorbing phase of models exhibiting an active-absorbing state transition, this suppression extends up to a hyperuniform length scale that diverges at the critical point. Here, we demonstrate the existence of additional many-body correlations beyond hyperuniformity. These correlations are hidden in the higher moments of the probability distribution of the local density, and extend up to a longer length scale with a faster divergence than the hyperuniform length on approaching the critical point. Our results suggest that a hidden order beyond hyperuniformity may generically be present in complex disordered systems.