Surfactants in a Non-local Model for Phase Transitions
Analysis of PDEs
2025-07-18 v1
Abstract
We investigate the influence of surfactants on stabilizing the formation of interfaces in non-local anisotropic two-phase fluid at equilibrium. The analysis focuses on singularly perturbed non-local van der Waals-Cahn-Hillard-type energies, supplemented with a term that accounts for the interaction between the surfactant and the fluid. We derive by Gamma-convergence the effective surface tension model as the thickness of the transition layer vanishes and show that it decreases when the surfactant segregates to the interface.
Cite
@article{arxiv.2410.01477,
title = {Surfactants in a Non-local Model for Phase Transitions},
author = {Marco Cicalese and Tim Heilmann},
journal= {arXiv preprint arXiv:2410.01477},
year = {2025}
}