Abstract

RAMIREZ-GONZALEZ, P.E. et al. First-principles predictor of the location of ergodic/non-ergodic transitions. Rev. mex. fis. [online]. 2007, vol.53, n.5, pp.327-331. ISSN 0035-001X.

This 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 of the mean squared displacement of the colloidal particles, whose finite real solutions signal the non-ergodic state,and determines the non-ergodic parameter ƒ (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.

Keywords : Colloidal dynamics; glass transition; dynamic arrest.

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