Temperature dependence of configurational entropy on structural relaxation function in glass-forming liquids

摘要

A direct correlation between the stretched exponent, beta(T), of relaxation functions and configurational entropy of the Adam-Gibbs's theory on cooperatively rearranging region (CRR) in glass-forming liquids is investigated. One important result is that beta(T) is equal to the relative configurational entropy per molecule. Another significant prediction is that beta(T) is inversely proportional to the critical molecule number z*, of a CRR in the transformation. Further, a factor f(T) is proposed to express the temperature dependence of viscosity and configurational entropy. A modified Vogel-Fulcher-Tammann (VFT) equation is obtained by adding a small non-linear term to f(T). The above theoretic investigations coincide precisely with the calorimetric experimental results of 3-bromopentane.