论文标题
关于非球体高斯核心模型的有序基态配置的堕落性
On the degeneracy of ordered ground state configurations of the aspherical Gaussian core model
论文作者
论文摘要
我们提供了严格的证据表明,通过高斯相互作用(称为文献称为高斯核心nematics){\ it必须}通过高斯相互作用(称为文献中)通过高斯相互作用进行相互作用的有序基础状态配置,必须无限地退化:我们已经证明了这些配置的相关稳定范围的相对组合的组合范围,该组件的相关组合构成了A的相对组合的组合,以实现相关的组件构成。与任意旋转。这些发现解释了以前的研究中相关的观察结果,然后这些观察结果仍然无法解释。我们的结论对于搜索其他列颗粒的基态构型带来了巨大的影响。
We provide rigorous evidence that the ordered ground state configurations of a system of parallel oriented, ellipsoidal particles, interacting via a Gaussian interaction (termed in literature as Gaussian core nematics) {\it must} be infinitely degenerate: we have demonstrated that these configurations originate from the related ground state configuration of the corresponding symmetric Gaussian core system via a suitable stretching operation of this lattice in combination with an arbitrary rotation. These findings explain related observations in former investigations, which then remained unexplained. Our conclusions have far reaching consequences for the search of ground state configurations of other nematic particles.