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• W2110651664 endingPage "1928" @default.
• W2110651664 startingPage "1921" @default.
• W2110651664 abstract "We have formulated a theory of self-assembly based on the notion of local gauge invariance at the mesoscale. Local gauge invariance at the mesoscale generates the required long-range entropic forces responsible for self-assembly in binary systems. Our theory was applied to study the onset of mesostructure formation above a critical temperature in estane, a diblock copolymer. We used diagrammatic methods to transcend the Gaussian approximation and obtain a correlation length $ensuremath{xi}ensuremath{sim}(censuremath{-}{c}^{*}{)}^{ensuremath{-}ensuremath{gamma}}$, where ${c}^{*}$ is the minimum concentration below which self-assembly is impossible, $c$ is the current concentration, and $ensuremath{gamma}$ was found numerically to be fairly close to $2/3$. The renormalized diffusion constant vanishes as the critical concentration is approached, indicating the occurrence of critical slowing down, while the correlation function remains finite at the transition point." @default.
• W2110651664 created "2016-06-24" @default.
• W2110651664 creator A5047809865 @default.
• W2110651664 date "1998-02-01" @default.
• W2110651664 modified "2023-09-25" @default.
• W2110651664 title "Onset of self-assembly" @default.
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• W2110651664 doi "https://doi.org/10.1103/physreve.57.1921" @default.
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