# Implementation of Morse-Witten theory for a polydisperse wet 2D foam simulation

## TL;DR

This paper demonstrates how Morse-Witten theory can be practically applied to simulate polydisperse wet 2D foams, producing results consistent with direct calculations and outlining future steps for 3D modeling.

## Contribution

It introduces a practical implementation of Morse-Witten theory for polydisperse 2D foam simulations, extending its applicability.

## Key findings

- Equilibrated 2D foam structures match direct calculations
- The method accommodates bubble size polydispersity
- Outlines development of a 3D model in future work

## Abstract

The Morse-Witten theory (D. Morse and T. Witten, EPL 22 (1993) 549-555) provides a formulation for the inter-bubble forces and corresponding deformations in a liquid foam, accurate in the limit of high liquid fraction. Here we show how the theory may be applied in practice, including allowing for polydispersity in the bubble sizes. The resulting equilibrated 2D structures are consistent with direct calculations, within the limitations of the theory. The path to developing a 3D model is outlined for future work.