A phenomenological model for interfacial water near hydrophilic polymers
Abstract
We propose a minimalist phenomenological model for the ‘interfacial water’ phenomenon that
occurs near hydrophilic polymeric surfaces. We achieve this by combining a Ginzburg–Landau
approach with Maxwell’s equations which leads us to a well-posed model providing a
macroscopic interpretation of experimental observations. From the derived governing equations,
we estimate the unknown parameters using experimental measurements from the literature. The
resulting profiles of the polarization and electric potential show exponential decay near the
surface, in qualitative agreement with experiments. Furthermore, the model’s quantitative
prediction of the electric potential at the hydrophilic surface is in excellent agreement with
experiments. The proposed model is a first step towards a more complete parsimonious
macroscopic model that will, for example, help to elucidate the effects of interfacial water on
cells (e.g. neuronal excitability), the effects of infrared neural stimulation or the effects of drugs
mediated by interfacial water.