Dynamic evolution of hyperuniformity in a driven dissipative colloidal system

Ü Seleme Nizam,Michaël Barbier,Ehsan E Shafigh,Esin Demir,Sercan Hüsnügil,Danial Vahabli,Ghaith Makey,Muhammed H Güneş,Serim Ilday,Efe Yelesti,S Süleyman Kahraman,Sezin Galioglu

doi:10.1088/1361-648x/abf9b8

Abstract

Hyperuniformity is evolving to become a unifying concept that can help classify and characterize equilibrium and nonequilibrium states of matter. Therefore, understanding the extent of hyperuniformity in dissipative systems is critical. Here, we study the dynamic evolution of hyperuniformity in a driven dissipative colloidal system. We experimentally show and numerically verify that the hyperuniformity of a colloidal crystal is robust against various lattice imperfections and environmental perturbations. This robustness even manifests during crystal disassembly as the system switches between strong (class I), logarithmic (class II), weak (class III), and non-hyperuniform states. To aid analyses, we developed a comprehensive computational toolbox, enabling real-time characterization of hyperuniformity in real- and reciprocal-spaces together with the evolution of several order metric features, and measurements showing the effect of external perturbations on the spatiotemporal distribution of the particles. Our findings provide a new framework to understand the basic principles that drive a dissipative system to a hyperuniform state.

Highlights

Hyperuniformity has emerged as a powerful concept that provides a metric to characterize and quantify the orderliness of a given system [1, 2]
We experimentally show and numerically verify that the system switches between strong, logarithmic, weak, and non-hyperuniform states
In appendix figure 16 we provide numerical simulations in 1D of a periodic lattice, a Fibonacci quasicrystal, the eigenvalues of a single random matrix from a Gaussian unitary ensemble (GUE), and uniform random distribution of points along a line to ensure that such omission does not affect the reciprocal-space number variance measurements

Summary

Introduction

Hyperuniformity has emerged as a powerful concept that provides a metric to characterize and quantify the orderliness of a given system [1, 2]. One of its seminal findings is the anomalous suppression of density fluctuations at infinite wavelengths for certain statistically isotropic systems, similar to perfect crystals albeit without Bragg peaks [1, 2]. This finding led to rapidly growing research efforts on the investigation of hyperuniformity in different physical systems [3,4,5,6,7,8,9,10,11,12,13,14], the controlled formation of hyperuniform structures [15,16,17], and fabrication of lasers, optical and photonic devices using hyperuniform materials [18,19,20,21,22,23].

Methods

Results

Conclusion