Polyelectrolyte (PE) complexation (PEC) occurs upon mixing solutions of oppositely charged polyelectrolytes. This electrostatic self-assembly paradigm is also extended to layer-by-layer (LbL) assembled polyelectrolyte multilayers (PEM). Despite the broad applications of both PEC and PEM, bulk phase behavior of PEC and mass transport controlling the structure and film growth rate of PEMs and their connection is poorly understood. In this doctoral work, we present a combined experimental and theoretical investigation of PEC and PEM LbL assembly. We first observe that polymer-specific interactions have a profound effect on both PEC and LbL growth rate while salinity has a non-monotonic and a rather universal effect on LbL growth rate of fully ionized polyelectrolytes when normalized by the critical salinity required to suppress PEC. We next develop a free energy model of PEC by incorporating counterion association-dissociation, cross-chain ion pairing (IP) and protonation, treating each as a reversible reaction using laws of mass action. The importance of each reaction is controlled by a corresponding chemistry-dependent standard free energy input parameter that could be measured via experimentation or molecular simulations. In monophasic systems, the thermodynamic model can qualitatively explain the shifts in acidity and basicity observed in potentiometric titration of weak PEs in the presence of salt and oppositely charged PEs in accordance with Le Châtelier’s principle. We demonstrate how a competition between counterion condensation and IP can explain the complex coacervation of strongly charged PEs. Binodal diagrams predicted in our model are most sensitive to IP strength both for weak and strong PEs. We compare binodal diagrams predicted by our model against experimental data, and find a plausible parameter set that leads to agreement between them. Finally, we develop a transport modeling framework for LbL assembly by variational minimization of the Rayleighian of a mixture of oppositely charged PEs, simple salt and water with respect to species velocities yielding species flux laws that equate the net mutual friction between components with the diffusional driving force on each species. The latter includes gradients in the conventional mixing chemical potential, electrostatic potential and mechanical stress (only for PEs). We also develop a constitutive equation for mixtures of PEs that accounts for solvent imbibition and IP. The result is a modification of the upper-convected Maxwell model. Our LbL transport model captures PE adsorption and film swelling in the equilibrium limit. A dynamic coupling of elastic stress and diffusion is applied in a different context to an electroneutral system involving drug release from polymer tablets, capturing Fickian, anomalous and case II modes of drug transport that arise naturally from the model. In addition to LbL, the transport framework proposed in this work can be applied to any system of charged and neutral components.
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Equilibrium Phase Behavior and Mass Transport in Neutral and Oppositely Charged Polymer Assemblies