Feedback-controlled solute transport through chemo-responsive polymer membranes

Abstract: Polymer membranes are typically assumed to be inert and nonresponsive to the flux and density of the permeating particles in transport processes. Here, we theoretically study the consequences of membrane responsiveness and feedback on the steady-state force–flux relations and membrane permeability using a nonlinear-feedback solution–diffusion model of transport through a slab-like membrane. Therein, the solute concentration inside the membrane depends on the bulk concentration, c0, the driving force, f, and the polymer volume fraction, ϕ. In our model, the solute accumulation in the membrane causes a sigmoidal volume phase transition of the polymer, changing its permeability, which, in return, affects the membrane’s solute uptake. This feedback leads to nonlinear force–flux relations, j(f), which we quantify in terms of the system’s differential permeability, PΔsys∝dj/df⁠. We find that the membrane feedback can increase or decrease the solute flux by orders of magnitude, triggered by a small change in the driving force and largely tunable by attractive vs repulsive solute–membrane interactions. Moreover, controlling the inputs, c0 and f, can lead to the steady-state bistability of ϕ and hysteresis in the force–flux relations. This work advocates that the fine-tuning of the membrane’s chemo-responsiveness will enhance the nonlinear transport control features, providing great potential for future (self-)regulating membrane devices

Standort
Deutsche Nationalbibliothek Frankfurt am Main
Umfang
Online-Ressource
Sprache
Englisch
Anmerkungen
The journal of chemical physics. - 158, 10 (2023) , 104903, ISSN: 1089-7690

Ereignis
Veröffentlichung
(wo)
Freiburg
(wer)
Universität
(wann)
2023
Urheber

DOI
10.1063/5.0135707
URN
urn:nbn:de:bsz:25-freidok-2396365
Rechteinformation
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Letzte Aktualisierung
14.08.2025, 10:56 MESZ

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  • 2023

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