Dynamic symmetry-breaking in mutually annihilating fluids with selective interfaces

TL;DR

This paper investigates how selective interfaces influence symmetry-breaking in mutually annihilating fluids, combining analytical and numerical methods to understand dynamic heterogeneity and phase transitions.

Contribution

It introduces a comprehensive model accounting for hydrodynamics, phase transitions, and reactions at selective interfaces, highlighting the role of selective sources in symmetry breaking.

Findings

Selective sources are more effective than diffusion in breaking symmetry.

Dynamic heterogeneity arises from coupling of transport, phase transitions, and reactions.

The model applies broadly to advection-diffusion-reaction phenomena with fluid interfaces.

Abstract

The selective entrapment of mutually annihilating species within a phase-changing carrier fluid is explored by both analytical and numerical means. The model takes full account of the dynamic heterogeneity which arises as a result of the coupling between hydrodynamic transport, dynamic phase-transitions and chemical reactions between the participating species, in the presence of a selective droplet interface. Special attention is paid to the dynamic symmetry breaking between the mass of the two species entrapped within the expanding droplet as a function of time. It is found that selective sources are much more effective symmetry breakers than selective diffusion. The present study may be of interest for a broad variety of advection-diffusion-reaction phenomena with selective fluid interfaces, including the problem of electroweak baryogenesis.