First-principles predictor of the location of ergodic/non-ergodic transitions
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| Format: | Artículo científico |
| Language: | en |
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Sociedad Mexicana de Física A.C.
2007
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| author | P.E. Ramírez-González |
| author_facet | P.E. Ramírez-González |
| contents | First-principles predictor of the location of ergodic/non-ergodic transitions P.E. Ramírez-González R. Juárez-Maldonado L. Yeomans-Reyna M.A. Chávez-Rojo M. Chávez-Páez A. Vizcarra-Rendón M. Medina-Noyola Física, Astronomía y Matemáticas dynamic arrest glass transition Colloidal dynamics This letter presents a remarkably simple approach to the first-principles determination of the ergodic/non-ergodic transition in monodispersecolloidal suspensions. It consists of an equation for the long-time asymptotic value ° of the mean squared displacement of the colloidalparticles, whose finite real solutions signal the non-ergodic state, and determines the non-ergodic parameter f(k). We illustrate its concreteapplication to three simple model colloidal systems, namely, hard-spheres, hard-spheres plus repulsive (screened Coulomb) Yukawainteraction, and hard-sphere plus attractive Yukawa tail. The results indicate that this is quite a competitive theory, similar in spirit to, butconceptually independent from, the well-known mode coupling theory. 2007 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57053501 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.5 Vol.53 |
| format | Artículo científico |
| id | redalyc_57053501 |
| institution | Redalyc |
| language | en |
| publishDate | 2007 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | First-principles predictor of the location of ergodic/non-ergodic transitions P.E. Ramírez-González Física, Astronomía y Matemáticas dynamic arrest glass transition Colloidal dynamics First-principles predictor of the location of ergodic/non-ergodic transitions P.E. Ramírez-González R. Juárez-Maldonado L. Yeomans-Reyna M.A. Chávez-Rojo M. Chávez-Páez A. Vizcarra-Rendón M. Medina-Noyola Física, Astronomía y Matemáticas dynamic arrest glass transition Colloidal dynamics This letter presents a remarkably simple approach to the first-principles determination of the ergodic/non-ergodic transition in monodispersecolloidal suspensions. It consists of an equation for the long-time asymptotic value ° of the mean squared displacement of the colloidalparticles, whose finite real solutions signal the non-ergodic state, and determines the non-ergodic parameter f(k). We illustrate its concreteapplication to three simple model colloidal systems, namely, hard-spheres, hard-spheres plus repulsive (screened Coulomb) Yukawainteraction, and hard-sphere plus attractive Yukawa tail. The results indicate that this is quite a competitive theory, similar in spirit to, butconceptually independent from, the well-known mode coupling theory. 2007 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57053501 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.5 Vol.53 |
| title | First-principles predictor of the location of ergodic/non-ergodic transitions |
| topic | Física, Astronomía y Matemáticas dynamic arrest glass transition Colloidal dynamics |
| url | https://www.redalyc.org/articulo.oa?id=57053501 |