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arXiv · 2410.01477

Surfactants in a Non-local Model for Phase Transitions

Marco Cicalese·Tim Heilmann
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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.

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Marco Cicalese, Tim Heilmann. 2024-10-02. Surfactants in a Non-local Model for Phase Transitions. https://doi.org/10.1051/cocv/2025046

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