# Configurational Entropy for Skyrmion-like Magnetic Structures

## TL;DR

This paper investigates the informational content of skyrmion-like magnetic structures by linking configurational entropy with analytical solutions of their topological charge density.

## Contribution

It introduces a novel approach to quantify the informational content of skyrmion-like structures using configurational entropy derived from topological charge density.

## Key findings

- Established a relationship between configurational entropy and skyrmion structures.
- Provided analytical expressions for skyrmion-like magnetic configurations.
- Enhanced understanding of the informational complexity of magnetic solitons.

## Abstract

In this work we explore the relationship between two ideas recently introduced in the literature. The first one deals with a quantity related to the informational contents of solutions of spatially localized structures, and the second consists of obtaining analytical solutions to describe skyrmion-like structures in magnetic materials. In particular, we use the topological charge density to extract information on the configurational entropy of the magnetic structure.