Feedback-controlled solute transport through chemo-responsive polymer membranes

Author:

Milster Sebastian1ORCID,Kim Won Kyu2ORCID,Dzubiella Joachim134ORCID

Affiliation:

1. Applied Theoretical Physics–Computational Physics, Physikalisches Institut, Albert-Ludwigs-Universität Freiburg 1 , D-79104 Freiburg, Germany

2. Korea Institute for Advanced Study 2 , Seoul 02455, Republic of Korea

3. Cluster of Excellence livMatS @FIT–Freiburg Center for Interactive Materials and Bioinspired Technologies, Albert-Ludwigs-Universität Freiburg 3 , D-79110 Freiburg, Germany

4. Research Group for Simulations of Energy Materials, Helmholtz-Zentrum Berlin für Materialien und Energie 4 , D-14109 Berlin, Germany

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, PsysΔ∝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.

Funder

Deutsche Forschungsgemeinschaft

Korea Institute for Advanced Studies

Publisher

AIP Publishing

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Tracer dynamics in polymer networks: Generalized Langevin description;The Journal of Chemical Physics;2024-03-05

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