https://doi.org/10.1140/epjs/s11734-026-02303-0
Review
Effects of nonlinearity on the interplay between monolayer elasticity, surface viscosities and surface diffusivity
1
School of Mathematical and Statistical Sciences, Arizona State University, 85287-1804, Tempe, AZ, USA
2
Department of Mechanical, Aerospace and Nuclear Engineering, Rensselaer Polytechnic Institute, 12180-3590, Troy, NY, USA
a
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b
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Received:
29
January
2026
Accepted:
27
March
2026
Published online:
11
April
2026
Abstract
Hydrodynamics of surfactant monolayers are governed by surface tension, surface shear viscosity, surface dilatational viscosity, and surface diffusivity. All of these quantities vary nonlinearly with the monolayer concentration. The variation of surface tension and of surface shear viscosity with concentration are readily measured as their effects can be isolated to give measurable responses. On the other hand, identifying techniques to isolate the effects of either surface dilatational viscosity or surface diffusivity have presented challenges. In this paper, we review the various attempts and successes in meeting these challenges, with a focus on our own efforts with insoluble monolayers.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2026
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
