无限薄硬片晶非双轴行为的探讨
Probing a non-biaxial behavior of infinitely thin hard platelets
摘要：
基于三个序参量张量的分量，给出了一个判别具有$D_{2h}$对称性的无限薄硬片晶非双轴行为的判据。利用该判据研究了单分散无限薄矩形硬片晶系统的相变行为。我们从正方形片晶系统开始，并将其与各种纵横比的矩形片晶系统进行比较。对于每个系统，我们使用等压蒙特卡罗模拟进行平衡运行。尽管这些片晶的形状各向异性，但每个系统都没有表现出双轴向的行为，而是表现出单轴向的行为。并确定了上述体系的模拟有效粒径与理论有效粒径之间的关系。
英文摘要：
We give a criterion to test a non-biaxial behavior of infinitely thin hard platelets of $D_{2h}$ symmetry based upon the components of three order parameter tensors. We investigated the nematic behavior of monodisperse infinitely thin rectangular hard platelet systems by using the criterion. Starting with a square platelet system, and we compared it with rectangular platelet systems of various aspect ratios. For each system, we performed equilibration runs by using isobaric Monte Carlo simulations. Each system did not show a biaxial nematic behavior but a uniaxial nematic one, despite of the shape anisotropy of those platelets. The relationship between effective diameters by simulations and theoretical effective diameters of the above systems was also determined.
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