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Critical decay at higher-order glass-transition singularities

2004/03/10 by W. Götze, Matthias Sperl, M. Sperl · 1 citation
Materials Science · Physics and Astronomy · #Glass properties and applications #Material Dynamics and Properties #Theoretical and Computational Physics #cond-mat.soft

paper · pdf · doi:10.1088/0953-8984/16/42/001

published as J. Phys.: Condens. Matter 16, S4807-S4830 (2004) · 26 pages, 7 figures, Proceedings of "Structural Arrest Transitions in Colloidal Systems with Short-Range Attractions", Messina, Italy, December 2003 (submitted)

arxiv created 2004/03/10 · openalex publication_date 2004/10/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

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 : , 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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