Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-09-16
Europhys. Lett. 69, 320 (2005)
Physics
Condensed Matter
Statistical Mechanics
v3: final version
Scientific paper
10.1209/epl/i2004-10401-5
The interplay between self-diffusion and excitation lines in space-time was recently studied in kinetically constrained models to explain the breakdown of the Stokes-Einstein law in supercooled liquids. Here, we further examine this interplay and its manifestation in incoherent scattering functions. In particular, we establish a dynamic length scale below which Fickian diffusion breaks down, as is observed in experiments and simulations. We describe the temperature dependence of this length scale in liquids of various fragilities, and provide analytical estimates for the van Hove and self-intermediate scattering functions.
Berthier Ludovic
Chandler David
Garrahan Juan P.
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