2004/09/30 by Ludovic Berthier, David Chandler, Juan P. Garrahan · 2 citations
Engineering · Materials Science · Physics and Astronomy · #Condensed matter physics #Constant (computer programming) #Diffusion #Excitation #Fick's laws of diffusion #Length scale #Material Dynamics and Properties #Optics #Phase Equilibria and Thermodynamics #Physics #Quantum mechanics #Scale (ratio) #Scattering #Statistical physics #Supercooling #Theoretical and Computational Physics #Thermodynamics #cond-mat.stat-mech
paper · pdf · doi:10.1209/epl/i2004-10401-5
published as Europhys. Lett. 69, 320 (2005) · v3: final version
openalex publication_date 2005/01/20 · arxiv created 2005/01/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.