Higher-order glass-transition singularities in systems with short-ranged attractivepotentials

Abstract

Within the mode-coupling theory for the evolution of structural relaxation, theA4-glass-transitionsingularities are identified for systems of particles interacting with a hard-sphererepulsion complemented by different short-ranged potentials: Baxter’ssingular potential regularized by a large-wavevector cut-off, a model for theAsakura–Oosawa depletion attraction, a triangular potential, a Yukawaattraction, and a square-well potential. The regular potentials yield criticalpacking fractions, critical Debye–Waller factors, and critical amplitudes very closeto each other. The elastic moduli and the particle localization lengths forcorresponding states of the Yukawa system and the square-well system may differby up to 20 and 10%, respectively.