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The onset of self-assembly | | Shirish M. Chitanvis
; | | Date: |
28 Oct 1997 | | Subject: | Soft Condensed Matter | cond-mat.soft hep-th | | 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 zeta ~ (c-c*)^-gamma, where c* is the minimum concentration below which self-assembly is impossible, c is the current concentration, and gamma was found numerically to be close to 2/3. The renormalized diffusion constant vanishes as the c* is approached, indicating the occurrence of critical slowing down, while the correlation function remains finite at the transition point. | | Source: | arXiv, cond-mat/9710301 | | Services: | Forum | Review | PDF | Favorites | |
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