Entropy Production in Reaction–Diffusion Systems Confined in Narrow Channels

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.

Keywords

• diffusion in confinement
• narrow channels
• reaction–diffusion systems
• pattern formation
• entropy production
• Gray–Scott model