The onset of self-assembly
| dc.creator | Chitanvis, Shirish M. | |
| dc.date | 1997-10-28 | |
| dc.date.accessioned | 2026-07-07T03:09:20Z | |
| dc.date.available | 2026-07-07T03:09:20Z | |
| dc.description | 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. | |
| dc.description | 20 pages, accepted for publication in Phys. Rev. E | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9710301 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9710301 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/27848 | |
| dc.subject | Soft Condensed Matter | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The onset of self-assembly | |
| dc.type | text |