论文标题
三维无定形固体中的异常弹性和新兴偶极子筛选
Anomalous Elasticity and Emergent Dipole Screening in Three-Dimensional Amorphous Solids
论文作者
论文摘要
在最近的工作中,我们开发了一种筛选理论,用于描述无定形固体对其新兴力学的影响。建议的理论发现了非晶固体的异常机械响应,其中塑料事件统称与晶体固体中的位错相似的分布偶极子。该理论在二维中针对各种非晶态固体模型进行了测试,包括摩擦和无摩擦的颗粒培养基和无定形玻璃的数值模型。在这里,我们将理论扩展到三维非晶固体中的筛选,并预测与二维系统中观察到的异常力学的存在。我们结论是将机械响应解释为在晶体缺陷文献中没有类似物的非探针分布式偶极子的形成。考虑到偶极子筛选的发作让人联想到Kosterlitz-毫无疑问和示型过渡,在三维中发现偶极子筛选是特别新颖的。
In recent work, we developed a screening theory for describing the effect of plastic events in amorphous solids on its emergent mechanics. The suggested theory uncovered an anomalous mechanical response of amorphous solids where plastic events collectively induce distributed dipoles that are analogous to dislocations in crystalline solids. The theory was tested against various models of amorphous solids in two-dimensions, including frictional and friction-less granular media and numerical models of amorphous glass. Here we extend our theory to screening in three-dimensional amorphous solids and predict the existence of anomalous mechanics similar to the one observed in two-dimensional systems. We conclude by interpreting the mechanical response as the formation of non-topological distributed dipoles that have no analogue in the crystalline defects literature. Having in mind that the onset of dipole screening is reminiscent of Kosterlitz-Thouless and Hexatic transitions, the finding of dipole screening in three-dimensions is particularly novel.