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Higher-order glass-transition singularities in systems with short-ranged attractive potentials

2002/11/05 by W. Gotze, W G tze, Matthias Sperl +1 · 4 citations
Earth and Planetary Sciences · Materials Science · Physics and Astronomy · #High-pressure geophysics and materials #Material Dynamics and Properties #Theoretical and Computational Physics #cond-mat.soft

paper · pdf · doi:10.1088/0953-8984/15/11/311

published as J. Phys.: Condens. Matter 15(11), S869-S879 (2003) · 12 pages, 5 figures, J. Phys. Cond. Matt. to be published

arxiv created 2002/11/05 · openalex publication_date 2003/03/10 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

Within the mode-coupling theory for the evolution of structural relaxation, the A 4 -glass-transition singularities are identified for systems of particles interacting with a hard-sphere repulsion complemented by different short-ranged potentials: Baxter's singular potential regularized by a large-wavevector cut-off, a model for the Asakura–Oosawa depletion attraction, a triangular potential, a Yukawa attraction, and a square-well potential. The regular potentials yield critical packing fractions, critical Debye–Waller factors, and critical amplitudes very close to each other. The elastic moduli and the particle localization lengths for corresponding states of the Yukawa system and the square-well system may differ by up to 20 and 10%, respectively.

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