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Critical Decay at Higher-Order Glass-Transition Singularities

W. Götze·M. Sperl
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Abstract

Within the mode-coupling theory for the evolution of structural relaxation in glass-forming systems, it is shown that the correlation functions for density fluctuations for states at A_3- and A_4-glass-transition singularities can be presented as an asymptotic series in increasing inverse powers of the logarithm of the time t: $ϕ(t)-f\propto \sum_i g_i(x)$, where $g_n(x)=p_n(\ln x)/x^n$ with p_n denoting some polynomial and x=ln (t/t_0). The results are demonstrated for schematic models describing the system by solely one or two correlators and also for a colloid model with a square-well-interaction potential.

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W. Götze, M. Sperl. 2004-03-10. Critical Decay at Higher-Order Glass-Transition Singularities. https://doi.org/10.1088/0953-8984%2F16%2F42%2F001

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