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

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-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.

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

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• Activated bond-breaking processes preempt the observation of a sharp glass-glass transition in dense short-ranged attractive colloids
• Numerical study of the glass-glass transition in short-ranged attractive colloids
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• Glassy behaviour of sticky spheres: What lies beyond experimental timescales?
• Waiting-time dependent non-equilibrium phase diagram of simple glass- and gel-forming liquids
• Critical Decay at Higher-Order Glass-Transition Singularities
• Analyses of kinetic glass transition in short-range attractive colloids based on time-convolutionless mode-coupling theory