# Spontaneous Domain Formation in Spherically-Confined Elastic Filaments

## TL;DR

This study reveals that elastic filaments confined in spherical spaces naturally form multiple ordered domains, with morphologies depending on density, challenging the assumption of a single spool configuration.

## Contribution

It demonstrates through analytical and simulation methods that the ground state of confined elastic filaments consists of multiple domains rather than a single spool.

## Key findings

- Multiple homogeneously-ordered domains form instead of a single spool.
- Different morphologies, including concentric spools and topological links, emerge at varying densities.
- Results apply to viral DNA, metallic wires, and flexible polymers.

## Abstract

Although the free energy of a genome packing into a virus is dominated by DNA-DNA interactions, ordering of the DNA inside the capsid is elasticity-driven, suggesting general solutions with DNA organized into spool-like domains. Using analytical calculations and computer simulations of a long elastic filament confined to a spherical container, we show that the ground state is not a single spool as assumed hitherto, but an ordering mosaic of multiple homogeneously-ordered domains. At low densities, we observe concentric spools, while at higher densities, other morphologies emerge, which resemble topological links. We discuss our results in the context of metallic wires, viral DNA, and flexible polymers.