Mesoscopic structures diblock copolymers

In what follows we will discuss systems with internal surfaces, ordered surfaces, topological transformations, and dynamical scaling. In Section II we shall show specific examples of mesoscopic systems with special attention devoted to the surfaces in the system—that is, periodic surfaces in surfactant systems, periodic surfaces in diblock copolymers, bicontinuous disordered interfaces in spinodally decomposing blends, ordered charge density wave patterns in electron liquids, and dissipative structures in reaction-diffusion systems. In Section III we will present the detailed theory of morphological measures the Euler characteristic, the Gaussian and mean curvatures, and so on. In fact, Sections II and III can be read independently because Section II shows specific models while Section III is devoted to the numerical and analytical computations of the surface characteristics. In a sense, Section III is robust that is, the methods presented in Section III apply to a variety of systems, not only the systems shown as examples in Section II. Brief conclusions are presented in Section IV. 

The mesoscopic structure of ionomers based on diblock copolymers is detemuned by two effects microphase separation of the diblock copolymer and clustering of the ions. For the a,0)-zwitterionic diblock copolymers, this leads to the confinement of the ion clusters to the interface between the two nucrophases. Within the two microphases, polymer dynanucs is different If the fuzziness of this interface extends to lengths significantly beyond the diameter of the ion clusters, a broad distribution of rotational correlation times is expected for a spin probe attached to the cluster surface. In contrast, if the interface were infinitely sharp, a bimodal distribution is expected, with the two sharply defined mean correlation times corresponding... 

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