Dynamic glass transition in two dimensions

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2007
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Bayer, Markus
Ebert, Florian
Lange, E.
Schilling, Rolf
Sperl, Matthias
Wittmer, J. P.
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Physical Review E. 2007, 76, 11508. Available under: doi: 10.1103/PhysRevE.76.011508
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The question of the existence of a structural glass transition in two dimensions is studied using mode coupling theory (MCT). We determine the explicit d dependence of the memory functional of mode coupling for one-component systems. Applied to two dimensions we solve the MCT equations numerically for monodisperse hard disks. Quantities characterizing the local, cooperative cage motion do not differ much for d=2 and d=3, and we, e.g., find the Lindemann criterion for the localization length at the glass transition. The final relaxation obeys the superposition principle, collapsing remarkably well onto a Kohlrausch law. The d=2 MCT results are in qualitative agreement with existing results from Monte Carlo and molecular dynamics simulations. The mean-squared displacements measured experimentally for a quasi-two-dimensional binary system of dipolar hard spheres can be described satisfactorily by MCT for monodisperse hard disks over four decades in time provided the experimental control parameter (which measures the strength of dipolar interactions) and the packing fraction are properly related to each other.

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ISO 690BAYER, Markus, Joseph M. BRADER, Florian EBERT, Matthias FUCHS, E. LANGE, Georg MARET, Rolf SCHILLING, Matthias SPERL, J. P. WITTMER, 2007. Dynamic glass transition in two dimensions. In: Physical Review E. 2007, 76, 11508. Available under: doi: 10.1103/PhysRevE.76.011508
BibTex
@article{Bayer2007Dynam-9165,
  year={2007},
  doi={10.1103/PhysRevE.76.011508},
  title={Dynamic glass transition in two dimensions},
  volume={76},
  journal={Physical Review E},
  author={Bayer, Markus and Brader, Joseph M. and Ebert, Florian and Fuchs, Matthias and Lange, E. and Maret, Georg and Schilling, Rolf and Sperl, Matthias and Wittmer, J. P.},
  note={Article Number: 11508}
}
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