# Unveiling Hidden Hyperuniformity: Radial Turing Pattern Formation of Marangoni‐Driven SiO2 Nanoparticles on Liquid Metal Surface

## TL;DR

This paper shows how SiO2 nanoparticles on liquid metal can form complex, hyperuniform patterns through Marangoni flow, offering new possibilities for smart materials.

## Contribution

The study reveals hyperuniform radial Turing patterns formed by Marangoni-driven SiO2 nanoparticles on liquid metal.

## Key findings

- Marangoni flow drives SiO2 nanoparticle motion to form fractal and radial Turing patterns.
- Radial Turing patterns exhibit hyperuniform order, challenging traditional film morphology concepts.
- The findings suggest potential for creating self-healing and adaptive smart fluid materials.

## Abstract

Mastering the self‐organization of nanoparticle morphologies is pivotal in soft matter physics and film growth. Silicon dioxide (SiO2) nanoparticles are an archetypical model of nanomotor in soft matter. Here, the emphasis is on the self‐organizing behavior of SiO2 nanoparticles under extreme conditions. It is unveiled that manipulating the states of the metal substrate profoundly dictates the motion characteristics of SiO2 nanoparticles. This manipulation triggers the emergence of intricate morphologies and distinctive patterns. Employing a reaction‐diffusion model, the fundamental roles played by Brownian motion and Marangoni‐driven motion in shaping fractal structures and radial Turing patterns are demonstrated, respectively. Notably, these radial Turing patterns showcase hyperuniform order, challenging conventional notions of film morphology. These discoveries pave the way for crafting non‐equilibrium morphological materials, poised with the potential for self‐healing, adaptability, and innovative applications.

Investigating the collective behavior of SiO2 nanoparticles on liquid metal surfaces reveals the complex SiO2 patterns formation driven by Marangoni flow. Manipulating metal substrate states influences particle motion, leading to fractal structures and radial Turing patterns. Hyperuniform order challenges conventional film morphology understanding. It is expected to be used to create “hyperuniform” smart fluid materials.