We present a new molecularly informed statistical field theory model of inhomogeneous polarizable soft matter. The model is based on fluid elements, referred to as beads, that can carry a net monopole of charge at their center of mass and a fixed or induced dipole through a Drude-type distributed charge approach. The beads are thus polarizable and naturally manifest attractive van der Waals interactions. Beyond electrostatic interactions, beads can be given soft repulsions to sustain fluid phases at arbitrary densities. Beads of different types can be mixed or linked into polymers with arbitrary chain models and sequences of charged and uncharged beads. By such an approach, it is possible to construct models suitable for describing a vast range of soft-matter systems including electrolyte and polyelectrolyte solutions, ionic liquids, polymerized ionic liquids, polymer blends, ionomers, and block copolymers, among others. These bead models can be constructed in virtually any ensemble and converted to complex-valued statistical field theories by Hubbard-Stratonovich transforms. One of the fields entering the resulting theories is a fluctuating electrostatic potential; other fields are necessary to decouple non-electrostatic interactions. We elucidate the structure of these field theories, their consistency with macroscopic electrostatic theory in the absence and presence of external electric fields, and the way in which they embed van der Waals interactions and non-uniform dielectric properties. Their suitability as a framework for computational studies of heterogeneous soft matter systems using field-theoretic simulation techniques is discussed.
We demonstrate that small domain features (∼13 nm) can be obtained in a series of polystyrene (PS) and poly(lactic acid) (PLA) block copolymers, PS–(PLA)2 and (PS)2–(PLA)2, that combine miktoarm molecular architectures with large interaction parameters. To supplement the experimental work, we used self-consistent field theory in tandem with the random phase approximation to explore and contrast the phase behavior of AB n and A n B n types of miktoarm block copolymers. Specifically, AB2 and A2B2 were found to be effective molecular architectures for inducing strong shifts in phase boundaries with copolymer composition and to simultaneously tune domain feature sizes. The performance of these systems is markedly different from the corresponding linear diblock copolymers and indicates the potential of macromolecular architecture control for future applications in lithography.
In self-assembly, the anisotropy of the building blocks and their formation of complex structures have been the subject of considerable recent research. Extending recent research on Janus particles and completing the study of Janus spheroids, we conduct a systematic investigation on the self-assembly of Janus prolate spheroids based on a primitive model that we proposed. Janus prolate spheroids are particles that have a prolate spheroidal body and two hemi-surfaces along the major axis coded with different chemical properties. Using Monte Carlo simulations, we investigate the effects of the aspect ratio on the self-assembly process. In contrast to the vesicle-like aggregates for Janus oblate spheroids, we obtain various ordered cluster structures for Janus prolate spheroids through self-assembly. With an increasing aspect ratio, we find a transition of cluster morphology, from vesicles to tubular micelles and micelles. In particular, a relatively small change in the aspect ratio leads to a rather significant change in morphology. We apply a cluster analysis to understand the mechanism associated with such a transition.
We present results highlighting the roles of dipolar interactions in affecting thermodynamics of diblock copolymer melts. Field theoretic methods and coarse-grained molecular dynamics (MD) simulations are used to understand the effects of dipolar interactions among copolymer segments. In particular, the effects of dipolar interactions on disorder-lamellar transition and domain spacing of the lamellar morphology are studied. It is shown that dipolar interactions stabilize the lamellar morphology over the disordered phase. Furthermore, the domain spacing for the lamellar morphology is predicted to increase with an increase in disparity between dipole moments of two kinds of monomers in the diblock or equivalently a mismatch in the dielectric constant of homopolymers forming the diblock. MD simulations reveal that additional orientational effects resulting from the anisotropic nature of the dipolar interaction potential are significant for highly polar monomers. In contrast, the field theoretic models based on orientationally averaged dipolar interaction potentials, such as those used in this work, fail to capture the effects of orientational correlations.
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