Calculus of Variations and Geometric Measure Theory

M. Cicalese - T. Heilmann

Surfactants in the Two Gradient Theory of Phase Transitions

created by heilmann on 09 Jan 2024



Inserted: 9 jan 2024

Year: 2024

ArXiv: 2401.03840 PDF


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.