Excitation lines and the breakdown of Stokes-Einstein relations in supercooled liquids

YounJoon Jung, Juan P. Garrahan, and David Chandler
Phys. Rev. E 69, 061205 – Published 18 June 2004

Abstract

By applying the concept of dynamical facilitation and analyzing the excitation lines that result from this facilitation, we investigate the origin of decoupling of transport coefficients in supercooled liquids. We illustrate our approach with two classes of models. One depicts diffusion in a strong glass former, and the other in a fragile glass former. At low temperatures, both models exhibit violation of the Stokes-Einstein relation, Dτ1, where D is the self-diffusion constant and τ is the structural relaxation time. In the strong case, the violation is sensitive to dimensionality d, going as Dτ23 for d=1 and as Dτ0.95 for d=3. In the fragile case, however, we argue that dimensionality dependence is weak, and show that for d=1, Dτ0.73. This scaling for the fragile case compares favorably with the results of a recent experimental study for a three-dimensional fragile glass former.

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  • Received 19 November 2003

DOI:https://doi.org/10.1103/PhysRevE.69.061205

©2004 American Physical Society

Authors & Affiliations

YounJoon Jung1, Juan P. Garrahan2,3, and David Chandler1

  • 1Department of Chemistry, University of California, Berkeley, California 94720-1460, USA
  • 2Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, United Kingdom
  • 3School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2Rd, United Kingdom

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Issue

Vol. 69, Iss. 6 — June 2004

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