Kohlrausch exponent as a function of the product variable for simulated LJ particles. Each symbol represents a distinct state point. Fits to the self-intermediate scattering function at longer time are shown for two temperatures in the inset. Simulation data are from Ref. 28.
Kohlrausch exponent as a function of the relaxation time determined from fits of at longer time. Each symbol represents a distinct state point. Simulation data are from Ref. 28.
from [Eq. (2)—open symbols] and from [Eq. (4)—filled symbols] vs the Kohlrausch exponent for LJ particles. Each symbol represents a distinct state point. Increasing dynamic heterogeneity is associated with a broader dispersion of relaxation times. The approximation departs from the rigorous calculation at higher temperatures and lower densities. Simulation data are from Ref. 28.
Plot of Kohlrausch exponent vs obtained from the approximation for 45 glass-formers at and atmospheric pressure (data are from Ref. 34): polymers (diamonds), oxide glass-formers and selenium (circles), hydrogen bonded materials (triangles), and van der Waals glass-formers (squares). The absence of correlation is indicated by the small value of the Pearson linear correlation coefficient.
Fragility corresponding to data in Fig. 4. Correlation coefficient is indicated.
Article metrics loading...
Full text loading...