In this article we study the low-temperature limit of a Landau–de Gennes theory. Within all $${\mathbb {S}}^2$$ S 2 -valued $${\mathscr {R}}$$ R -axially symmetric maps (see Definition 1.1 ), the limiting energy functional has at least two distinct energy minimizers. One minimizer has a biaxial torus structure, while another minimizer has a split-core segment structure on the z -axis.

中文翻译：

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限制朗道-德热内斯理论的偏差

在本文中，我们研究了 Landau-de Gennes 理论的低温极限。在所有 $${\mathbb {S}}^2$$ S 2 -valued $${\mathscr {R}}$$ R -轴对称映射（见定义 1.1 ）中，极限能量泛函至少有两个不同的能量最小化器。一个最小化器具有双轴环面结构，而另一个最小化器在 z 轴上具有分裂核心段结构。