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Autori principali: Choi, Gyeong Min, Lee, Heon Sang
Natura: Preprint
Pubblicazione: 2025
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Accesso online:https://arxiv.org/abs/2509.21335
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author Choi, Gyeong Min
Lee, Heon Sang
author_facet Choi, Gyeong Min
Lee, Heon Sang
contents Sharp interfaces in miscible fluids have long been observed, yet classical theory associates them only with phase coexistence and non-convex free energies. We present a minimal variational frame work where adding a Fermi-Dirac (FD) free energy to a convex bulk contribution preserves miscibility, while the convex term drops out in the gradient balance, leaving the FD part to set a logistic profile by the principle of least dissipation. After formation, the FD interface propagates diffusively and later broadens by ripening, giving a unified view of interfacial dynamics in miscible fluids.
format Preprint
id arxiv_https___arxiv_org_abs_2509_21335
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Least-Dissipation Interfaces in Fully Miscible Fluids
Choi, Gyeong Min
Lee, Heon Sang
Soft Condensed Matter
Sharp interfaces in miscible fluids have long been observed, yet classical theory associates them only with phase coexistence and non-convex free energies. We present a minimal variational frame work where adding a Fermi-Dirac (FD) free energy to a convex bulk contribution preserves miscibility, while the convex term drops out in the gradient balance, leaving the FD part to set a logistic profile by the principle of least dissipation. After formation, the FD interface propagates diffusively and later broadens by ripening, giving a unified view of interfacial dynamics in miscible fluids.
title Least-Dissipation Interfaces in Fully Miscible Fluids
topic Soft Condensed Matter
url https://arxiv.org/abs/2509.21335