title: High-order mode-coupling theory for the colloidal glass transition.
abstract: A theoretical approach is developed to derive a hierarchy of mode-coupling equations for the dynamics of concentrated colloidal suspensions, which improves the prediction of the colloidal glass transition. Our derivation is based on a matrix formalism for stochastic dynamics and the resulting recursive expressions for irreducible memory functions. The 1st order truncation of the generalized mode-coupling closure recovers mode-coupling theory, whereas its 2nd and 3rd order truncations provide corrections. The predictions of the transition volume fraction and Debye-Waller parameter for the hard-sphere colloidal system improve with the increasing mode-coupling order and compare favorably with experimental measurements.
authors.affiliation: Department of Chemistry, Massachusetts Institute of Technology, Cambridge, 02139, USA.
authors.forename: Jianlan
authors.initials: J
authors.lastname: Wu
authors.forename: Jianshu
authors.initials: J
authors.lastname: Cao