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Interfacial energies depending on curvature: the drastic loss of elastic coupling on small scales and its impact on multiphase mechanics
Author(s) -
Kurzeja Patrick
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900080
Subject(s) - surface tension , elasticity (physics) , curvature , radius , mechanics , physics , resonance (particle physics) , dispersion (optics) , radius of curvature , classical mechanics , coupling (piping) , coupling constant , materials science , mean curvature , thermodynamics , optics , mean curvature flow , geometry , quantum mechanics , mathematics , computer security , computer science , metallurgy
Interfacial energies are often assumed to be well approximated by a constant surface tension. This assumption however fails at very small radii, e.g., for fluid bubbles or lipid layers. Below a cut‐off radius, the interface elasticity can even turn negative and interface resonance vanishes, diminishing the resonance spectrum and dispersion.