Length scale for the onset of Fickian diffusion in supercooled liquids

By Ludovic Berthier, D. Chandler, Juan P. Garrahan. 2004

144 citations recorded by the source corpus.

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.

Subfields: Biomedical Engineering, Condensed Matter Physics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/9df02333782850cbc080f409c96e62380b53e76b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Biomedical Engineering

1. Giulio Biroli
2. Ludovic Berthier
3. U. Seifert

In Condensed Matter Physics

1. Ludovic Berthier
2. Giulio Biroli
3. Juan P. Garrahan
4. L. Janssen
5. Hajime Tanaka
6. Hua Tong
7. U. Seifert

In Materials Chemistry

1. Ludovic Berthier
2. Giulio Biroli
3. Juan P. Garrahan
4. Hajime Tanaka
5. Hua Tong
6. L. Janssen
7. Stephen R. Williams
8. C. Royall

Citations in the corpus

• Theoretical perspective on the glass transition and amorphous materials (2010, background): “This happens for colloids and granular media (Berthier et al., 2005a; Lechenault et al., 2008a; Brambilla et al., 2009).”
• Kinetically Constrained Models (2010, unknown): “Equation (1.4) indicates that there is a spectrum of timescales that interpolate between a k independent value τp at shorter lengthscales, to a diffusive timescale τx/k 2 at large lengthscales (Berthier et al., 2005a).”