Taming geometric frustration by leveraging structural elasticity

Taming geometric frustration by leveraging structural elasticity
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利用结构弹性克服几何挫败感

DOI:
10.1016/j.matdes.2022.110809
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发表时间:
2022
期刊:
影响因子:
8.4
通讯作者:
Arrieta, Andres F.
Arrieta, Andres F.
中科院分区:
材料科学1区
文献类型:
--
作者:
Udani, Janav P.;Arrieta, Andres F.

文献摘要

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几何挫折出现在广泛的系统中,通常表现为无序的地面配置,从而阻碍了对现象的基本机制的理解。我们报告一个连续体系统,具有本地可调单位,允许宏观几何挫折的控制和自我维持的表现。图案的单位编码有限的一组有序的地面配置(自旋冰状态)和一个独特的家庭共存的高阶阻挫状态(自旋液体状态),这两个单位反转后激活。我们提出了一种策略,通过控制本构单元的反转序列来按需访问任何全局受挫状态。这种控制策略允许观察几何挫折的展开,因为微观结构特征由于本构单元的相互作用的能量最小化而演变。更广泛地说,我们的模型系统提供了一个“驯服”宏观几何挫折的蓝图,使新的应用程序,如路径驱动的计算和使用结构系统解决优化问题。
Geometric frustration appears in a broad range of systems, generally emerging as disordered ground configurations, thereby impeding understanding of the phenomenon’s underlying mechanics. We report on a continuum system featuring locally bistable units that allows for the controlled and self-sustained manifestation of macroscopic geometric frustration. The patterning of the units encodes a finite set of ordered ground configurations (spin-ice states) and a unique family of co-existing higher-order frustrated states (spin-liquid states), which are both activated upon unit inversion. We present a strategy for accessing any globally frustrated state on-demand by controlling the constitutive units’ inversion sequence. This control strategy allows for observing the unfolding of geometric frustration as the microstructural features evolve due to the energy minimization of the constitutive units’ interactions. More broadly, our model system offers a blueprint for “taming” macroscopic geometric frustration, enabling novel applications such as path-driven computation and solving optimization problems using structural systems.