# Entropy Production in Reaction–Diffusion Systems Confined in Narrow Channels

## TL;DR

This paper studies how the shape of narrow channels affects entropy production in chemical reaction systems.

## Contribution

The study introduces an effective diffusion equation to analyze entropy production in confined reaction–diffusion systems.

## Key findings

- Entropy density changes in value but retains its qualitative behavior in narrow channels.
- Channel geometry influences structure formation in the Gray–Scott system.

## Abstract

This work analyzes the effect of wall geometry when a reaction–diffusion system is confined to a narrow channel. In particular, we study the entropy production density in the reversible Gray–Scott system. Using an effective diffusion equation that considers modifications by the channel characteristics, we find that the entropy density changes its value but not its qualitative behavior, which helps explore the structure-formation space.