The heat capacity data of PS after cooling at different rates were analyzed using heterogeneous kinetic model by combining exponential decay equation with various relaxation time distribution functions instead of the conventional method of combining the stretched relaxation function with Boltzmann superposition. It is found that the shape of the calculated heat capacity peak is highly correlated to the shape of the relaxation time distribution function. The fitting quality of the Davidson-Cole distribution function is worse compared with that of Kohlrausch distribution function. When the mirror functions of Kohlrausch and Davidson-Cole are used, the fitting quality improved greatly. The result indicates that relaxation kinetic of polymer may be described better by combining appropriate relaxation time spectrum with relaxation time model. This approach affords the possibility of taking the temperature and structure dependence of Kohlrausch exponent into consideration in the kinetic study of polymer in non-isothermal relaxations.

使用异质动力学模型，通过将指数衰减方程与各种松弛时间分布函数相结合，而不是将拉伸松弛函数与玻尔兹曼叠加相结合的常规方法，利用异质动力学模型分析了不同速率冷却后的PS的热容数据。发现所计算的热容峰的形状与弛豫时间分布函数的形状高度相关。与Kohlrausch分布函数相比，Davidson-Cole分布函数的拟合质量较差。当使用Kohlrausch和Davidson-Cole的镜像功能时，装配质量大大提高。结果表明，通过将适当的弛豫时间谱与弛豫时间模型结合，可以更好地描述聚合物的弛豫动力学。