论文标题
客观结构的稳定性：一般标准和应用
Stability of Objective Structures: General Criteria and Applications
论文作者
论文摘要
我们为客观结构开发了一般稳定性分析，这构成了晶格系统的广泛概括。我们表明，尽管通常没有周期性和空间填充这些粒子系统，但可以从基础对称组和相互作用势的表示方面识别稳定性常数。我们的主要结果为平衡配置提供了一般稳定标准和二阶能量边界。特别是，得出了一种一般的计算算法来测试目标结构的稳定性。举例来说，我们表明我们的方法可以用于验证手性碳纳米管的稳定性。
We develop a general stability analysis for objective structures, which constitute a far reaching generalization of crystal lattice systems. We show that these particle systems, although in general neither periodic nor space filling, allow for the identification of stability constants in terms of representations of the underlying symmetry group and interaction potentials. Our main results provide general stability criteria and second order energy bounds for equilibrium configurations. In particular, a general computational algorithm to test objective structures for their stability is derived. By way of example we show that our method can be applied to verify the stability of carbon nanotubes with chirality.
