First-principles Predictor of the Location of Ergodic-Non-ergodic Transitions

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dc.creatorRamírez-González, Pedro Esequiel
dc.creatorJuárez-Maldonado, Rigoberto
dc.creatorYeomans-Reyna, Laura
dc.creatorChávez-Rojo, Marco Antonio
dc.creatorChávez-Páez, Martin
dc.creatorVizcarra-Rendón, Alejandro
dc.creatorMedina-Noyola, Magdaleno
dc.date2007-12-13
dc.date.accessioned2026-07-07T08:48:57Z
dc.date.available2026-07-07T08:48:57Z
dc.descriptionThis letter presents a remarkably simple approach to the first-principles determination of the ergodic-non-ergodic transition in monodisperse colloidal suspensions. It consists of an equation for the long-time asymptotic value $γ$ of the mean squared displacement of the colloidal particles, whose finite real solutions signal the non-ergodic state, and determines the non-ergodic parameter $f(k)$. We illustrate its concrete application to three simple model colloidal systems, namely, hard-spheres, hard-spheres plus repulsive (screened Coulomb) Yukawa interaction, and hard-sphere plus attractive Yukawa tail. The results indicate that this is quite a competitive theory, similar in spirit to, but conceptually independent from, the well-known mode coupling theory.
dc.description5 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0712.2071
dc.identifierhttp://arxiv.org/abs/0712.2071
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144130
dc.subjectMaterials Science
dc.titleFirst-principles Predictor of the Location of Ergodic-Non-ergodic Transitions
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