Next Article in Journal
Fabrication and Packaging of Flexible Polymeric Microantennae for in Vivo Magnetic Resonance Imaging
Next Article in Special Issue
Water Soluble Polymers as Proton Exchange Membranes for Fuel Cells
Previous Article in Journal
A New Esterase from Thermobifida halotolerans Hydrolyses Polyethylene Terephthalate (PET) and Polylactic Acid (PLA)
Previous Article in Special Issue
Effects of Emulsion-Based Resonant Infrared Matrix Assisted Pulsed Laser Evaporation (RIR-MAPLE) on the Molecular Weight of Polymers
Polymers 2012, 4(1), 630-655; doi:10.3390/polym4010630
Article

Variational Models of Network Formation and Ion Transport: Applications to Perfluorosulfonate Ionomer Membranes

1
, 1
, 2
, 1
 and 1,*
Received: 31 December 2011; in revised form: 13 February 2012 / Accepted: 15 February 2012 / Published: 24 February 2012
(This article belongs to the Special Issue Polymer Thin Films and Membranes)
Download PDF [5904 KB, uploaded 24 February 2012]
Abstract: We present the functionalized Cahn-Hilliard (FCH) energy, a continuum characterization of interfacial energy whose minimizers describe the network morphology of solvated functionalized polymer membranes. With a small set of parameters the FCH characterizes bilayer, pore-like, and micelle network structures. The gradient flows derived from the FCH describe the interactions between these structures, including the merging and pinch-off of endcaps and formation of junctions central to the generation of network morphologies. We couple the FCH gradient flow to a model of ionic transport which incorporates entropic effects to localize counter-ions, yielding a flow which dissipates a total free energy, and an expression for the excess electrochemical potential which combines electrostatic and entropic effects. We present applications to network bifurcation and membrane casting.
Keywords: ionomer membrane; functionalized cahn-hilliard; network morphology; ionic transport ionomer membrane; functionalized cahn-hilliard; network morphology; ionic transport
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Export to BibTeX |
EndNote


MDPI and ACS Style

Gavish, N.; Jones, J.; Xu, Z.; Christlieb, A.; Promislow, K. Variational Models of Network Formation and Ion Transport: Applications to Perfluorosulfonate Ionomer Membranes. Polymers 2012, 4, 630-655.

AMA Style

Gavish N, Jones J, Xu Z, Christlieb A, Promislow K. Variational Models of Network Formation and Ion Transport: Applications to Perfluorosulfonate Ionomer Membranes. Polymers. 2012; 4(1):630-655.

Chicago/Turabian Style

Gavish, Nir; Jones, Jaylan; Xu, Zhengfu; Christlieb, Andrew; Promislow, Keith. 2012. "Variational Models of Network Formation and Ion Transport: Applications to Perfluorosulfonate Ionomer Membranes." Polymers 4, no. 1: 630-655.


Polymers EISSN 2073-4360 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert