三临界点的突变理论方法及其在液晶中的应用
A Catastrophe-Theoretic Approach to Tricritical Points with Application to Liquid Crystals
摘要：
本文提出了一个确定相图中三临界点的判据。该准则是在基本突变理论的框架内制定的，并涵盖了所有现有的准则，因为它适用于由一般非对称自由能描述的系统，该自由能可以取决于一个或多个序参量。我们表明，一个三临界点时，自由能不是4-确定的。简要讨论了近晶-C液晶的应用。
英文摘要：
A criterion to locate tricritical points in phase diagrams is proposed. The criterion is formulated in the framework of the Elementary Catastrophe Theory and encompasses all the existing criteria in that it applies to systems described by a generally non symmetric free energy which can depend on one or more order parameters. We show that a tricritical point is given whenever the free energy is not 4-determined. An application to smectic-C liquid crystals is briefly discussed.
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