Stokes-Einstein relation breakdown

Tarjus. G, and Kivelson, D., Breakdown of the Stokes-Einstein relation in supercooled liquids. J. Chem. Phys. 103, 3071 (1995). 

Bordat, P., Affouard, F., Descamps, M., and Mueller-Plathe, F. (2003) The breakdown of the Stokes-Einstein relation in supercooled binary Uquids, J. 

Measurements of transport properties would provide another means to explore the metastable regime. In particular, studies based on simulation focused on the supercooled regime [104] correlate the breakdown of the Stokes-Einstein relation Dv = constant) with the Widom line w P), locus of the correlation length maxima emanating down from the proposed liquid-liquid critical point toward lower pressures (Fig. 3b). Measurements of diffusivity could be performed at negative pressure by NMR on static samples (e.g., via MVLE or inclusions) and viscosity could be measured by capillary rheometry with the MVLE method. 

P. Kumar, S. V. Buldyrev, S. R. Becker, P. H. Poole, F. W. Starr, and H. E. Stanley, Relation between the widom line and the breakdown of the Stokes Einstein relation in supercooled water,... 

Figure 10. The breakdown of the Stokes-Einstein relation, >(rT)/r versus T (inset). Scaling representation of the BSE in a log-log scale of D versus (rr) [87].

The self-diffusion coefticient in 15.3 and 15.4 is customarily expressed in terms of the viscosity rj by using the Stokes-Einstein relation (SER) D = breakdown... 

Jung, Y., Garrahan, J. Chandler, D. (2004). Excitation lines and the breakdown of Stokes-Einstein relations in supercooled liquids, Phys. Rev. E 69(6) 061205. 

Thus, the combined SE and the DSE equations predict that the product Dtxc = (A Tc)sedse should equal 2r /9. Measurements of probe translational diffusion and rotational diffusion made in glass-formers have found that the product Dtr can be much larger than this value, revealing a breakdown of the Stokes-Einstein (SE) relation and the Debye-Stokes-Einstein (DSE) relation. There is an enhancement of probe translational diffusion in comparison with rotational diffusion. The time dependence of the probe rotational time correlation functions tit) is well-described by the KWW function,... 

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