# Phase transitions in thick branes endorsed by entropic information

## TL;DR

This paper uses configurational entropy to analyze phase transitions and internal structures of degenerate Bloch branes, revealing quick phase transitions and optimal ordering in their configurations.

## Contribution

It introduces a configurational entropy measure for degenerate Bloch branes, uncovering phase transitions and internal structure details not previously characterized.

## Key findings

- Configurations undergo quick phase transitions endorsed by entropy.
- High organizational degree in system configurations.
- Existence of both double and single-kink solutions.

## Abstract

The so-called configurational entropy (CE) framework has proved to be an efficient instrument to study nonlinear scalar field models featuring solutions with spatially-localized energy, since its proposal by Gleiser and Stamapoulos. Therefore, in this work, we apply this new physical quantity in order to investigate the properties of degenerate Bloch branes. We show that it is possible to construct a configurational entropy measure in functional space from the field configurations, where a complete set of exact solutions for the model studied displays both double and single-kink configurations. Our study shows a rich internal structure of the configurations, where we observe that the field configurations undergo a quick phase transition, which is endorsed by information entropy. Furthermore, the Bloch configurational entropy is employed to demonstrate a high organisational degree in the structure of the configurations of the system, stating that there is a best ordering for the solutions.