A non-ideal solution theory for the mechanics and electrochemistry of charged membranes

Abstract

Understanding how ions and solvent molecules migrate within charged membranes is fundamental for advancing the analysis of biological membranes and the design of energy storage and production devices. Recent efforts highlighted a significant interplay between mechanics and electrochemistry in charged membranes, calling for the development of high-fidelity models to describe their interaction. Here, we propose a continuum theory of the chemoelectromechanics of charged membranes, accounting for potentially large deformations and non-idealities of the solution permeating the membrane. We demonstrate the potential applications of our theory within the study of ionic polymer actuators. Our theory predicts sizeable effects of non-idealities and mechanical deformations, enabling insight into the role of mechanics on solute and solvent transport within charged membranes.