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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.21335 |
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Table of 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.