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Hidden Order Beyond Hyperuniformity in Critical Absorbing States.

Yuanjian Zheng¹, Anshul D S Parmar², Massimo Pica Ciamarra^1,3,4

¹Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore.

Physical Review Letters

|April 2, 2021

Summary

Disordered systems show hidden correlations called hyperuniformity. This study reveals deeper many-body correlations beyond hyperuniformity, suggesting a more complex hidden order in disordered systems.

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Area of Science:

Physics
Complex Systems
Statistical Mechanics

Background:

Disordered hyperuniformity describes hidden correlations in point distributions.
These correlations manifest as suppressed local density fluctuations at various scales.
In active-absorbing phase transitions, hyperuniformity extends to a critical length scale.

Purpose of the Study:

To investigate for many-body correlations beyond the established concept of hyperuniformity.
To explore the nature and scaling of these additional correlations near critical points.
To determine if such hidden order is a generic feature of complex disordered systems.

Main Methods:

Analysis of higher moments of the local density probability distribution.
Investigation of point distributions in models exhibiting active-absorbing state transitions.
Characterization of correlation length scales and their divergence at the critical point.

Main Results:

Demonstrated the existence of many-body correlations extending beyond the hyperuniform length scale.
Identified these correlations within higher moments of local density distributions.
Observed a longer correlation length scale with faster divergence than the hyperuniform length scale near criticality.

Conclusions:

Complex disordered systems may possess a hidden order that surpasses hyperuniformity.
These deeper correlations are revealed through higher-order statistical measures.
The findings suggest a more intricate structure in disordered systems than previously understood.