Solid-state reactions and phase transformations in which the activation energy changes with the extent of conversion, e.g. multi-step or dispersive kinetic processes, cannot be reliably treated using current thermal methods, particularly when it comes to handling non-isothermal data sets. New models that consider distributed reactivity and/or the potential temperature-dependence of the pre-exponential term in the Arrhenius equation are urgently needed and, based on them, the extension of current theory to appropriately treat non-isothermal data. Numerical methods could prove useful in overcoming the variable-separability problem that can hinder the analytic solution of more complex kinetic relationships.

中文翻译：

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我们可以相信热分析的动力学方法吗？

使用当前的热方法无法可靠地处理其中活化能随转化程度而变化的固态反应和相变，例如多步或分散动力学过程，特别是在处理非等温数据集时。迫切需要新的模型来考虑分布反应性和/或Arrhenius方程中指数前项的潜在温度依赖性，并在此基础上扩展当前理论以适当地处理非等温数据。数值方法在克服变量可分性问题方面可能是有用的，该问题可能会阻碍更复杂的动力学关系的解析解。