Calculus of Variations and Geometric Measure Theory

M. Cicalese - T. Heilmann

Surfactants in a non-local model for phase transitions

created by cicalese on 02 Oct 2024

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Preprint

Inserted: 2 oct 2024
Last Updated: 2 oct 2024

Year: 2024

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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