论文标题
在计算机眼镜中提取准钙化模式的特性:远程连续磁场,轮廓积分和边界效应
Extracting the properties of quasilocalized modes in computer glasses: Long-range continuum fields, contour integrals and boundary effects
论文作者
论文摘要
玻璃杯中的低频非音频模式和塑料重排在空间上进行了准化,即具有无序诱导的短距离核心和已知的已知远程衰减弹性场。提取未知的短距离核心特性,可能在计算机眼镜中可以访问,这是很重要的。在这里,我们考虑在已知的远程字段上执行的一类轮廓积分,这些集体是专门设计用于提取核心属性的。我们首先表明,在当前研究中使用的典型尺寸的计算机眼镜中,准定位模式的远距离字段经历与模拟框形状和广泛使用的周期性边界条件相关的边界效应。特别是,由框形状和周期性边界条件介导的图像相互作用会引起场的旋转和方向依赖于远程衰减的抑制。然后,我们开发了一个连续理论,该理论可以定量预测这些有限尺寸的边界效应,并通过广泛的计算机模拟来支持它。该理论解释了有限大小的边界效应,同时允许提取短距离核心特性,例如它们的典型应变比和方向。该理论在2D和3D中得到了广泛的验证。总体而言,我们的结果提供了一种有用的工具,可用于提取计算机眼镜中非调音模式和塑料重排的内在核心特性。
Low-frequency nonphononic modes and plastic rearrangements in glasses are spatially quasilocalized, i.e. feature a disorder-induced short-range core and known long-range decaying elastic fields. Extracting the unknown short-range core properties, potentially accessible in computer glasses, is of prime importance. Here we consider a class of contour integrals, performed over the known long-range fields, which are especially designed for extracting the core properties. We first show that in computer glasses of typical sizes used in current studies, the long-range fields of quasilocalized modes experience boundary effects related to the simulation box shape and the widely employed periodic boundary conditions. In particular, image interactions mediated by the box shape and the periodic boundary conditions induce fields' rotation and orientation-dependent suppression of their long-range decay. We then develop a continuum theory that quantitatively predicts these finite-size boundary effects and support it by extensive computer simulations. The theory accounts for the finite-size boundary effects and at the same time allows the extraction of the short-range core properties, such as their typical strain ratios and orientation. The theory is extensively validated in both 2D and 3D. Overall, our results offer a useful tool for extracting the intrinsic core properties of nonphononic modes and plastic rearrangements in computer glasses.