Vb. Kokshenev, SLOW RELAXATION NEAR STRUCTURAL AND ORIENTATIONAL TRANSITIONS IN GLASS-FORMING LIQUIDS AND SOLIDS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(1), 1998, pp. 1187-1190
We argue that the fragility observed near the glass-transition tempera
ture complies with the growing correlation length conception for the e
ntire family of glass-forming materials. The analysis is given through
the percolation-theoretical treatment of the relaxation dynamics cons
idered in an effective medium of dimension (d) over bar. For long-live
d clusters of characteristic radius R-0 dynamical correlations are int
roduced through the relaxation time tau(0) infinity R-0(z). The relaxa
tion function is given in an explicit Kohlrausch-Williams-Watts form w
ith the stretch exponent beta = (d) over bar/(z + (d) over bar) that r
esults in the fragility m = m(0)(1/beta - 1) It is shown that within t
he low-frequency domain the cluster-growing correlations are consisten
t with the Dixon-Nagel master curve and fit the idea of universality o
f glass-transformation features in solids and liquids.