Interacting phase fields yielding phase separation on surfaces
(2024) arxiv.org — (2024)
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- In the present article we study diffuse interface models for two-phase biomembranes. We will do so by starting off with a diffuse interface model on ℝn defined by two coupled phase fields u,v. The first phase field u is the diffuse approximation of the interior of the membrane; the second phase field v is the diffuse approximation of the two phases of the membrane. We prove a compactness result and a lower bound in the sense of Γ-convergence for pairs of phase functions (uε,vε). As an application of this first result, we consider a diffuse approximation of a two-phase Willmore functional plus line tension energy.
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Lledos, B., Marziani, R., & Olbermann, H. (2024). Interacting phase fields yielding phase separation on surfaces. arxiv.org. Submitted. https://hdl.handle.net/2078.5/236498 (Original work published 2024)