Defect formation dynamics in curved elastic surface crystals.
Defect formation dynamics in curved elastic surface crystals.
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弯曲弹性表面晶体中的缺陷形成动力学。
DOI：
10.1039/c7sm02233f
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发表时间：
2017
期刊：
影响因子：
3.4
通讯作者：
J. Dunkel
中科院分区：
文献类型：
--
作者：
N. Stoop;J. Dunkel
拓扑缺陷塑造了物理系统的材料和输运性质。例子包括量子超流体中的涡旋线、石墨烯的缺陷介导的屈曲、铁磁体和胶体晶体中的晶界，以及早期宇宙中形成的畴结构。Kibble-Zurek（KZ）机制描述了在具有恒定的有限淬火速率的连续非平衡相变中拓扑缺陷的形成。通用KZ标度律已被验证实验和数值计算的二阶跃迁在平面欧几里德几何，但其有效性的非热跃迁在弯曲和拓扑非平凡系统仍然提出了悬而未决的问题。在这里，我们使用最近的实验证实的理论来研究拓扑缺陷形成的弯曲的弹性表面晶体应力淬火的双层材料。对于球形和环形晶体，我们发现缺陷密度遵循KZ型幂律。此外，成核序列同意最近的实验观察球形胶体晶体。我们的研究结果表明，弯曲的弹性双层膜提供了一个实验上可访问的宏观系统，研究非热相变的非平面几何形状的普遍性质。
Topological defects shape the material and transport properties of physical systems. Examples range from vortex lines in quantum superfluids, defect-mediated buckling of graphene, and grain boundaries in ferromagnets and colloidal crystals, to domain structures formed in the early universe. The Kibble-Zurek (KZ) mechanism describes the topological defect formation in continuous non-equilibrium phase transitions with a constant finite quench rate. Universal KZ scaling laws have been verified experimentally and numerically for second-order transitions in planar Euclidean geometries, but their validity for non-thermal transitions in curved and topologically nontrivial systems still poses open questions. Here, we use recent experimentally confirmed theory to investigate topological defect formation in curved elastic surface crystals formed by stress-quenching a bilayer material. For both spherical and toroidal crystals, we find that the defect densities follow KZ-type power laws. Moreover, the nucleation sequences agree with recent experimental observations for spherical colloidal crystals. Our results suggest that curved elastic bilayers provide an experimentally accessible macroscopic system to study universal properties of non-thermal phase transitions in non-planar geometries.
DOI：
10.1073/pnas.91.16.7732
发表时间：
1994-08-02
影响因子：
11.1
作者：
BERGER, B;SHOR, PW;KING, J
通讯作者：
KING, J
DOI：
10.1073/pnas.1500763112
发表时间：
2015-06-02
影响因子：
11.1
作者：
Deutschlaender, Sven;Dillmann, Patrick;Keim, Peter
通讯作者：
Keim, Peter