Abstract The stochastic models of temperature diffusing of the phase transition are presented, taking into account the structural disorder of the material by introducing a random function, i.e., the temperature of the phase transition as a function of coordinates. The structural disorders in the plane and across the thickness of the ferroelectric film are considered. The temperature of the phase transition and the width of the region of its diffusing are determined depending on the probabilistic characteristics of the random function, the film thickness, and the type of the film surface. It is established that the phase transition temperature at the structural disordered in the plane of the ferroelectric film is significantly higher than in the case of disordered over the film thickness with the same other material parameters.

中文翻译：

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基于随机模型的铁电弛豫特性预测

摘要 提出了相变温度扩散的随机模型，通过引入随机函数，即相变温度作为坐标的函数，考虑了材料的结构无序。考虑了平面内和横穿铁电薄膜厚度的结构紊乱。相变的温度及其扩散区域的宽度取决于随机函数的概率特性、薄膜厚度和薄膜表面的类型。已经确定，铁电薄膜平面内结构无序的相变温度明显高于具有相同其他材料参数的膜厚度无序情况下的相变温度。