论文标题
Ioffe-Regel标准和无定形固体的粘弹性特性
Ioffe-Regel criterion and viscoelastic properties of amorphous solids
论文作者
论文摘要
我们表明，粘弹性效应在谐波无定形固体中振动模式的阻尼中起着至关重要的作用。给定平面波的松弛通过半侵入一维的质量弹簧链的记忆函数来描述。最初的振动能从链的第一个位置传播到无穷大。在链条的开头，有一个障碍，可显着降低振动能的衰减以下。为了获得链的参数，我们根据状态的局部振动密度的Chebyshev扩展，提出了一种数值稳定的方法。
We show that viscoelastic effects play a crucial role in the damping of vibrational modes in harmonic amorphous solids. The relaxation of a given plane wave is described by a memory function of a semi-infinite one-dimensions mass-spring chain. The initial vibrational energy spreads from the first site of the chain to infinity. In the beginning of the chain, there is a barrier, which significantly reduces the decay of vibrational energy below the Ioffe-Regel frequency. To obtain the parameters of the chain, we present a numerically stable method, based on the Chebyshev expansion of the local vibrational density of states.
