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Bond formation and slow heterogeneous dynamics in adhesive spheres with long-ranged repulsion: Quantitative test of mode coupling theory

O. Henrich1, A. M. Puertas2, M. Sperl1, J. Baschnagel3, and M. Fuchs1

  • 1Department of Physics, University of Konstanz, 78457 Konstanz, Germany
  • 2Group of Complex Fluids Physics, Department of Applied Physics, University of Almeria, 04120 Almeria, Andalucía, Spain
  • 3Institut Charles Sadron, 6, rue Boussingault, BP 40016, 67083 Strasbourg Cedex, France

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Phys. Rev. E 76, 031404 – Published 27 September, 2007

DOI: https://doi.org/10.1103/PhysRevE.76.031404

Abstract

A colloidal system of spheres interacting with both a deep and narrow attractive potential and a shallow long-ranged barrier exhibits a prepeak in the static structure factor. This peak can be related to an additional mesoscopic length scale of clusters and/or voids in the system. Simulation studies of this system have revealed that it vitrifies upon increasing the attraction into a gel-like solid at intermediate densities. The dynamics at the mesoscopic length scale corresponding to the prepeak represents the slowest mode in the system. Using mode coupling theory with all input directly taken from simulations, we reveal the mechanism for glassy arrest in the system at 40% packing fraction. The effects of the low-q peak and of polydispersity are considered in detail. We demonstrate that the local formation of physical bonds is the process whose slowing down causes arrest. It remains largely unaffected by the large-scale heterogeneities, and sets the clock for the slow cluster mode. Results from mode-coupling theory without adjustable parameters agree semiquantitatively with the local density correlators but overestimate the lifetime of the mesoscopic structure (voids).

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Phys. Rev. E 76, 031404– Published 27 September, 2007
  • Received 7 May 2007

© 2007 American Physical Society

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