# Coarsening and mechanics in the bubble model for wet foams

## TL;DR

This paper investigates coarsening dynamics and mechanical response in wet foams near the jamming transition using numerical simulations of a bubble model, revealing a diverging coarsening time and insights into elastic behavior.

## Contribution

It introduces a numerical study of coarsening and mechanics in wet foams near jamming, linking coarsening rates to wetness and mechanical relaxation.

## Key findings

- Coarsening reaches a steady state with a characteristic size distribution.
- Coarsening time diverges as the foam approaches jamming.
- Mechanical response is influenced by the interplay of coarsening and relaxation times.

## Abstract

Aqueous foams are an important model system that displays coarsening dynamics. Coarsening in dispersions and foams is well understood in the dilute and dry limits, where the gas fraction tends to zero and one, respectively. However, foams are known to undergo a jamming transition from a fluid-like to a solid-like state at an intermediate gas fraction,$\phi_c$. Much less is known about coarsening dynamics in wet foams near jamming, and the link to mechanical response, if any, remains poorly understood. Here, we probe coarsening and mechanical response using numerical simulations of a variant of the Durian bubble model for wet foams. As in other coarsening systems we find a steady state scaling regime with an associated particle size distribution. We relate the time-rate of evolution of the coarsening process to the wetness of the foam and identify a characteristic coarsening time that diverges approaching jamming. We further probe mechanical response of the system to strain while undergoing coarsening. There are two competing time scales, namely the coarsening time and the mechanical relaxation time. We relate these to the evolution of the elastic response and the mechanical structure.