Non-equilibrium dynamic hyperuniform states

TL;DR

This paper reviews recent advances in understanding dynamic hyperuniform states in non-equilibrium systems, highlighting their unique density fluctuation suppression and diverse physical realizations across different non-equilibrium phenomena.

Contribution

It provides a comprehensive overview of the emergence and characteristics of dynamic hyperuniform states in various non-equilibrium contexts, integrating recent research developments.

Findings

Critical hyperuniformity observed in absorbing phase transitions

Hyperuniform structures identified in phase separating systems

Non-equilibrium hyperuniform fluids exhibit suppressed density fluctuations

Abstract

Disordered hyperuniform structures are an exotic state of matter having suppressed density fluctuations at large length-scale similar to perfect crystals and quasicrystals but without any long range orientational order. In the past decade, an increasing number of non-equilibrium systems were found to have dynamic hyperuniform states, which have emerged as a new research direction coupling both non-equilibrium physics and hyperuniformity. Here we review the recent progress in understanding dynamic hyperuniform states found in various non-equilibrium systems, including the critical hyperuniformity in absorbing phase transitions, non-equilibrium hyperuniform fluids and the hyperuniform structures in phase separating systems via spinodal decomposition.