# Self-assembly of core-corona particles confined in a circular box

## TL;DR

This study uses Monte Carlo simulations to explore the diverse self-assembled structures of core-corona colloidal particles confined in a circular box, revealing complex patterns and regimes not seen in unconfined systems.

## Contribution

It provides new insights into the structural variety and phase behavior of confined core-corona particles, including minimal energy configurations and anisotropic open structures.

## Key findings

- Rich variety of patterns in confined particles
- Identification of minimal energy configurations for small N
- Discovery of anisotropic open structures in large N regimes

## Abstract

Using Monte Carlo simulations, we study the assembly of colloidal particles interacting via isotropic core-corona potentials in two dimensions and confined in a circular box. We explore the structural variety at low temperatures as function of the number of particles (N) and the size of the confining box and find a rich variety of patterns that are not observed in unconfined flat space. For a small number of particles (N<=6), we identify the zero-temperature minimal energy configurations at a given box size and we construct the phase diagram as function of temperature and box radius for the specific case of N=4. When the number of particles is large (N>=100), we distinguish different regimes that appear in route towards close packing configurations as the box size decreases. These regimes are characterized by the increase in the number of branching points and their coordination number. In contrast to the case of confined hard disks, we obtain open structures with unexpected highly anisotropic character in spite of the isotropy of the interactions and of the confinement. Our findings show that confined core-corona particles can be a suitable system to engineer particles with highly complex internal structure that may serve as building blocks in hierarchical assembly.