Abstract

The properties of a model based on the analogy between binary stratifying liquid mixtures and coupled self-oscillating systems is studied. In this paper, an expression representing a curve mapping in the phase diagram of a binary system is derived. The mapping of a boundary curve is presented in the form of the dependence between the ratio of characteristic frequencies assigned to pure components and the mixture concentration. In the framework of this model, the temperature dependence of the squared ratio of frequencies \(({\nu}_{a}/{\nu}_{b})^{2}\) is also determined. One important aspect of this model is that the temperature-dependent characteristic frequencies \(\nu_{a}\) and \(\nu_{b}\) reflect the properties of pure components (instead of solutions). The problem is posed of investigating the physical aspects of the model proposed in this paper in more detail. In the present study, it has been shown that the use of Pade approximants makes it possible to determine the character of the temperature dependence of each characteristic frequency separately on the basis of the temperature dependence derived by linking to experimental data for the ratio \(({\nu}_{a}/{\nu}_{b})^{2}\).

中文翻译：

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分层液体混合物相图中边界曲线模型映射的各个参数的确定

摘要

研究了基于二元分层液体混合物和耦合自激系统之间的类比的模型的性质。在本文中，得出了表示二进制系统相图中曲线映射的表达式。边界曲线的映射以分配给纯组分的特征频率的比率与混合物浓度之间的依存关系的形式表示。在此模型的框架中，还确定了频率\（（{{nu} _ {a} / {\ nu} _ {b}）^ {2} \）的平方比的温度依赖性。该模型的一个重要方面是与温度相关的特征频率\（\ nu_ {a} \）和\（\ nu_ {b} \）反映纯组分的性质（而不是溶液）。提出这个问题是为了更详细地研究本文提出的模型的物理方面。在本研究中，已经表明，使用Pade近似值可以根据通过与比率\（（ {\ nu} _ {a} / {\ nu} _ {b}）^ {2} \）。