2003/10/31 by Matthias Sperl
Materials Science · Mathematics · Physics and Astronomy · #Material Dynamics and Properties #Random Matrices and Applications #Theoretical and Computational Physics #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1063/1.1764224
published as In: M. Tokuyama and I. Oppenheim (eds.), Slow Dynamics in Complex Systems. AIP Conference Proceedings vol. 708, AIP, New York, 2004, pp. 559-564 · Proceedings of "The 3rd International Symposium on Slow Dynamics in Complex Systems" November 3-8, 2003, Sendai, Japan
arxiv created 2003/10/31 · openalex publication_date 2004/01/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29
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.