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http://inaoe.repositorioinstitucional.mx/jspui/handle/1009/1941| Modeling ternary mixtures by mean-field theory of polyelectrolytes: Coupled Ginzburg–Landau and Swift–Hohenberg equations | |
| Ibrahim Daniel Torres Aguilar | |
| Acceso Abierto | |
| Atribución-NoComercial-SinDerivadas | |
| Complex Systems Ternary mixtures Biological pattern formation Turing systems Mechanochemical models Polyelectrolytes | |
| The purpose of this work is to model ternary mixtures using the theory of pattern formation and of polyelectrolytes, with mean-field approximations. The model has two local, non-conserved order parameters. In the free energy short-range and longrange nonlocal interactions between elements of the mixture are considered. The spatiotemporal dynamics of the system is described by coupling the time-dependent Ginzburg–Landau equation and the Swift–Hohenberg equation. These non-linear partial differential equations are solved with numerical methods to study the emergent spatially stable configurations. The model shows a large diversity of patterns, which permit an interpretation of the behavior of some biological systems and presents different growth lengths within its spatial structures. | |
| Physica A: Statistical Mechanics and its Applications | |
| 01-02-2012 | |
| Artículo | |
| Inglés | |
| Estudiantes Investigadores Público en general | |
| Morales, M. A., et al., (2012), Modeling ternary mixtures by mean-field theory of polyelectrolytes: Coupled Ginzburg–Landau and Swift–Hohenberg equations, Physica A: Statistical Mechanics and its Applications, Vol. 391(3):779-791 | |
| ASTRONOMÍA Y ASTROFÍSICA | |
| Versión aceptada | |
| acceptedVersion - Versión aceptada | |
| Aparece en las colecciones: | Artículos de Astrofísica |
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| 29 Torres_2012_PhyA 391.pdf | 1.56 MB | Adobe PDF | Visualizar/Abrir |