Logarithmic decay in a two-component model

Details Logarithmic decay in a two-component model Logarithmic decay in a two-component model

2003-10-31

arxiv.org/abs/cond-mat/0310772v1

In: M. Tokuyama and I. Oppenheim (eds.), Slow Dynamics in Complex Systems. AIP Conference Proceedings vol. 708, AIP, New York,

Physics

Condensed Matter

Soft Condensed Matter

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

Scientific paper

10.1063/1.1764224

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.

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