dc.creatorIbrahim Daniel Torres Aguilar
dc.date2012-02-01
dc.date.accessioned2023-07-25T16:24:38Z
dc.date.available2023-07-25T16:24:38Z
dc.identifierhttp://inaoe.repositorioinstitucional.mx/jspui/handle/1009/1941
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/7807132
dc.descriptionThe 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.
dc.formatapplication/pdf
dc.languageeng
dc.publisherPhysica A: Statistical Mechanics and its Applications
dc.relationcitation: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
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.subjectinfo:eu-repo/classification/Inspec/Complex Systems
dc.subjectinfo:eu-repo/classification/Inspec/Ternary mixtures
dc.subjectinfo:eu-repo/classification/Inspec/Biological pattern formation
dc.subjectinfo:eu-repo/classification/Inspec/Turing systems
dc.subjectinfo:eu-repo/classification/Inspec/Mechanochemical models
dc.subjectinfo:eu-repo/classification/Inspec/Polyelectrolytes
dc.subjectinfo:eu-repo/classification/cti/1
dc.subjectinfo:eu-repo/classification/cti/21
dc.subjectinfo:eu-repo/classification/cti/21
dc.titleModeling ternary mixtures by mean-field theory of polyelectrolytes: Coupled Ginzburg–Landau and Swift–Hohenberg equations
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/acceptedVersion
dc.audiencestudents
dc.audienceresearchers
dc.audiencegeneralPublic


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