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arXiv 1004.0706cond-mat.soft
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抛物面晶体

Paraboloidal Crystals

Luca Giomi, Mark Bowick

摘要:

软凝聚态系统中有序性与几何性的相互作用是一个非常活跃的研究领域,有许多令人瞩目的结果,但也有许多尚未解决的问题。曲面上的有序结构出现在多电子氦泡、病毒和噬菌体蛋白质衣壳、界面处的胶体自组装和物理膜中。空间曲率可以导致新颖的基态配置,其特征在于拓扑缺陷阵列,其将是平面系统中的激发态。我们用一系列图像来说明这一点,这些图像显示了经典电荷系统的十种低能配置的Voronoi晶格(金色)和相应的Delaunay三角测量(绿色),经典电荷系统被限制在抛物面表面并与库仑相互作用。潜力。抛物几何被认为是具有可变高斯曲率和边界的二维黎曼流形上的晶体结构类的具体实现。

英文摘要:

The interplay between order and geometry in soft condensed matter systems is an active field with many striking results and even more open problems. Ordered structures on curved surfaces appear in multi-electron helium bubbles, viral and bacteriophage protein capsids, colloidal self-assembly at interfaces and in physical membranes. Spatial curvature can lead to novel ground state configurations featuring arrays of topological defects that would be excited states in planar systems. We illustrate this with a sequence of images showing the Voronoi lattice (in gold) and the corresponding Delaunay triangulations (in green) for ten low energy configurations of a system of classical charges constrained to lie on the surface of a paraboloid and interacting with a Coulomb potential. The parabolic geometry is considered as a specific realization of the class of crystalline structures on two-dimensional Riemannian manifolds with variable Gaussian curvature and boundary.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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