一种测量无序计算机固体中弹性波色散的方法
A method for measuring the dispersion of elastic waves in disordered computer-solids
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中文总结 AI 辅助
研究测量无序计算机固体中弹性波色散的方法，提出施加波方法（IWM），该方法无需拟合可直接获取色散，经与‘真实值’基准测试吻合良好，还能利用有限尺寸缩放获取机械无序量化指标。
中文摘要 AI 辅助
无序固体中弹性波的色散在确定态密度和谐波衰减率方面起着关键作用。因此，拥有强大的计算方法来精确提取色散至关重要。本文提出一种简单方法——施加波方法（IWM），可直接获取固体计算机模型中弹性波的色散，无需拟合。我们将该方法与通过固体海森矩阵直接对角化得到的‘真实值’进行直接基准测试，结果吻合良好。我们讨论了该方法的局限性和有限尺寸效应，并表明利用该方法的有限尺寸缩放可获取决定波衰减率和谱宽度的机械无序基本量化指标。
英文摘要
The dispersion of elastic waves in disordered solids plays a key role in determining the vibrational density of states and harmonic wave attenuation rates. As such, the availability of robust computational approaches to the precise extraction of the dispersion is of key importance. Here we present a simple method -- the imposed wave method (IWM) -- , which provides direct access to the dispersion of elastic waves in computer models of solids, without any fitting involved. We directly benchmark the method against the `ground-truth' obtained from direct diagonalization of solids' hessian matrices, to find good agreement. We discuss limitations of and finite-size effects in the method, and show that exploiting the method's finite-size scaling provides access to a fundamental quantifier of mechanical disorder that determines wave attenuation rates and spectral widths.
