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arXiv · 2401.03840

Surfactants in the Two Gradient Theory of Phase Transitions

Marco Cicalese·Tim Heilmann
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Abstract

We investigate the influence of surfactants on stabilizing the formation of interfaces in solid-solid phase transitions. The analysis focuses on singularly perturbed van der Waals-Cahn-Hillard-type energies for gradient vector fields, supplemented with a term that accounts for the interaction between the surfactant and the solid. Assuming the potential term to have only two rank-one connected wells, we prove that the effective energy for the formation of an interface decreases when the surfactant segregate to the interface.

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Marco Cicalese, Tim Heilmann. 2024-01-08. Surfactants in the Two Gradient Theory of Phase Transitions. https://doi.org/10.3934/mine.2025022

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