玻璃化液体中构型熵与展宽弛豫函数关系的研究

Relationship Between Configurational Entropy and Stretched Exponential Function in Glass-forming Liquids

运用Adam Gibbs关于构型重排区域的构型熵理论和极值动力学模型得到的弛豫时间的理论公式,提出了KWW型弛豫函数中的非指数展宽因子等于液体中构型重排区域的相对构型熵;并与一个构型重排区域内构型变换的临界分子数成反比,从而赋予了展宽因子新的关于玻璃化结构的物理意义,建立了结构弛豫与构型熵之间的关联.为了消除Vogel Fulcher Tamann方程拟合粘度实验数据在高温区的偏差,用温度的高阶项修正展宽因子与温度的关系,其结果在低于200K时符合得很好,其修正项等效于等压与等容热容量之差对构型熵的修正.

The relationship between the transport properties and thermodynamic properties in glass forming liquids was investigated. The configurational entropy of Adam-Gibbs theory on cooperatively rearranging regions and the theoretic function derived from extremal value model were used to propose a brief that non-exponential stretched exponent in KWW form relaxation function is equal to the relative configurational entropy of cooperatively rearranging region in liquids, and is inversely proportional to the critical number of molecules occurring configurational transformation in a cooperatively rearranging region. Therefore, the new physical significance on glassy configuration is imposed on the stretched exponent, and theoretical developments and empirical correlations between the structural relaxation and configurational entropy are established. Further, an improved expression of ,β（T） was proposed to eliminate the deviation of the fit by using Vogel-Fulcher-Tammann equation from viscosity data at higher temperatures, which conforms well over 200 K temperature range. The improvement on ,β （T） is correspondent to the improvement on the difference in thermal capacities between isobaric and isochoric processes.