Logarithmic decay in a two-component model

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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 $-\ln(t/τ)$ and the leading correction introduces characteristic convex and concave patterns in the decay curves. The time scale $τ$ 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

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