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Self-assembled clusters of mutually repelling particles in confinement

P. D. S. de Lima1,*, R. De La Cour2,3, K. Gaff2, J. M. de Araújo1, S. J. Cox4, M. S. Ferreira2,5, and S. Hutzler2

  • *Contact author: paulo.douglas.lima@fisica.ufrn.br

Phys. Rev. E 112, 044150 – Published 29 October, 2025

DOI: https://doi.org/10.1103/1wcz-hhw6

Abstract

Mutually repelling particles spontaneously form ordered clusters when forced into confinement. The clusters may adopt similar spatial arrangements even if the underlying particle interactions are contrastingly different. Here, we demonstrate with both simulations and experiments that it is possible to induce particles of very different types to self-assemble into the same ordered geometric structure by simply regulating the ratio between the repulsive and confining forces. This is the case for both long- and short-ranged potentials. This property is initially explored in systems with two-dimensional circular symmetry and subsequently demonstrated to be valid throughout the transition to one-dimensional structures through continuous elliptical deformations of the confining field. We argue that this feature can be utilized to manipulate the spatial structure of confined particles, thereby paving the way for the design of clusters with specific functionalities.

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synopsis

How Confined Objects Arrange Themselves

Published 29 October, 2025

A collection of mutually repelling objects can be forced into the same arrangement, whether they are magnets, soap bubbles, or hard spheres.

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