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

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

2002-11-05

arxiv.org/abs/cond-mat/0211088v1

J. Phys.: Condens. Matter 15(11), S869-S879 (2003)

Physics

Condensed Matter

Soft Condensed Matter

12 pages, 5 figures, J. Phys. Cond. Matt. to be published

Scientific paper

10.1088/0953-8984/15/11/311

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-wave-vector cutoff, 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's 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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