Dynamic heterogeneities above and below the mode-coupling temperature: Evidence of a dynamic crossover

Flenner, Elijah; Szamel, Grzegorz
March 2013
Journal of Chemical Physics;Mar2013, Vol. 138 Issue 12, p12A523
Academic Journal
We examine dynamic heterogeneities in a model glass-forming fluid, a binary harmonic sphere mixture, above and below the mode-coupling temperature Tc. We calculate the ensemble independent susceptibility χ4(τα) and the dynamic correlation length ξ4(τα) at the α-relaxation time τα. We also examine in detail the temperature dependence of τα and the diffusion coefficient D. For higher temperatures, we find that the standard Stokes-Einstein relationship, D∼τα-1, holds, but at lower temperatures a fractional Stokes-Einstein relationship, D∼τα-σ with σ = 0.65, emerges. By examining the relationships between τα, D, χ4(τα), and ξ4(τα) we determine that the emergence of the fractional Stokes-Einstein relationship is accompanied by a dynamic crossover from τα∼ek2ξ4 at higher temperatures to τα∼ek1ξ43/2 at lower temperatures.


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