Cumulative geometric frustration in physical assemblies.
Cumulative geometric frustration in physical assemblies.
复制标题
物理装配中累积的几何挫败感。
作者：
Snir Meiri;Efi Efrati
每当物理组件的成分本地偏向于无法在全球实现的安排时，几何挫败感就会产生。最近，这种沮丧的组件显示出表现出丝状丝，尺寸限制，较大的形态变化和其他外来反应特性。尽管这些独特的特征可以证明是几何挫败感的直接结果，但一些几何挫败系统并未表现出上述任何现象。在这项工作中，我们利用了内在方法，以提供直接解决物理组件挫败感的框架。该框架强调了与描述物理组件的内在字段相关的兼容条件的作用。我们表明，兼容条件的结构决定了小型组合的行为，尤其是预测其伸展的能量生长指数。我们将此框架的使用在几个众所周知的沮丧的集会中使用。
Geometric frustration arises whenever the constituents of a physical assembly locally favor an arrangement that cannot be realized globally. Recently, such frustrated assemblies were shown to exhibit filamentation, size limitation, large morphological variations and other exotic response properties. While these unique characteristics can be shown to be a direct outcome of the geometric frustration, some geometrically frustrated systems do not exhibit any of the above phenomena. In this work we exploit the intrinsic approach to provide a framework for directly addressing the frustration in physical assemblies. The framework highlights the role of the compatibility conditions associated with the intrinsic fields describing the physical assembly. We show that the structure of the compatibility conditions determines the behavior of small assemblies and in particular predicts their superextensive energy growth exponent. We illustrate the use of this framework to several well-known frustrated assemblies.
影响因子：
3.7
作者：
Li, Chao;Shtukenberg, Alexander G.;Kahr, Bart
通讯作者：
Kahr, Bart