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- W2012259990 abstract "Formation of microdomain structures in concentrated systems of irregular (stochastic) copolymers with weak composition asymmetry $(ϵ⪡1)$ is considered theoretically. The study is focused on the weak segregation regime for infinitely long copolymer chains near the disorder-to-order transition. It is shown that the transition occurs below the spinodal (at ${ensuremath{chi}}_{0}<{ensuremath{chi}}^{*}$) and that it results in the formation of micelles rather than in a superposition pattern of a few harmonic composition waves. The micelle size is inversely proportional to $ensuremath{Delta}ensuremath{chi}=ensuremath{chi}ensuremath{-}{ensuremath{chi}}_{0}$. For small $ensuremath{Delta}ensuremath{chi}$ the micelles are like large nearly uniform droplets with ``reflected'' composition, $ensuremath{-}ϵ$. As $ensuremath{Delta}ensuremath{chi}$ increases the micelle composition profile develops oscillations. A first-order transition from spherical-wave micelles to micelles with internal bcc structure is predicted at $ensuremath{chi}∕{ensuremath{chi}}^{*}ensuremath{-}1ensuremath{propto}{ϵ}^{2}$. Interaction of micelles is also considered. It is shown that micelles always tend to form a fcc superlattice. The micellization in the weak segregation regime is controlled by the so-called nonlocal free energy. The classical fourth order (in composition parameter $A$) approximation for this energy is significantly generalized in the regime of low volume fraction of micelles. It is shown that the nonlocal energy strongly (exponentially) increases with $A$ near and above a certain critical value $Aensuremath{simeq}{A}^{*}$." @default.
- W2012259990 created "2016-06-24" @default.
- W2012259990 creator A5040504616 @default.
- W2012259990 date "2006-04-20" @default.
- W2012259990 modified "2023-10-17" @default.
- W2012259990 title "Micelle formation in statistical copolymers" @default.
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- W2012259990 doi "https://doi.org/10.1103/physreve.73.041803" @default.
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