Logarithmic decay in a two-component model

Abstract

The correlation functions near higher-order glass-transition singularities are discussed for a schematic two-component model within the mode-coupling theory for ideal glass-transitions. The correlators decay in leading order like $-\ln (t/\tau )$ and the leading correction introduces characteristic convex and concave patterns in the decay curves. The time scale $\tau$ follows a Vogel-Fulcher type law close to the higher-order singularities.

Proceedings of "The 3rd International Symposium on Slow Dynamics in Complex Systems" November 3-8, 2003, Sendai, Japan