Topological model of soap froth evolution with deterministic T2-processes

TL;DR

This paper presents a deterministic topological model for 2D soap froth evolution, which better matches experimental observations in both transient and scaling regimes compared to previous stochastic models.

Contribution

It introduces a novel deterministic T2-process model that accounts for cell areas, improving the accuracy of topological evolution predictions in soap froth simulations.

Findings

Model aligns with experimental data in transient regime

Improves agreement in scaling state

Deterministic approach contrasts with stochastic models

Abstract

We introduce a topological model for the evolution of 2d soap froth. The topological rearrangements (T2 processes) are deterministic (unlike the standard stochastic model): the final topology depends on the areas of the neighboring cells. The new model gives agreement with experiments in the transient regime, where the previous models failed qualitatively, and also improves agreement in the scaling state.