AI 中文总结
研究强无序固体纳米尺度线性响应，用修正连续介质理论描述，其响应系数局部但依赖结构性质，经分子动力学模拟证实预测，还表明响应在硬化界面尺度主要是局部的。
AI 中文摘要
强无序固体在纳米尺度呈现独特性质，传统连续介质理论失效。我们表明其无序平均线性响应可用修正连续介质理论描述，响应系数局部但非局部依赖结构性质。稳定性准则要求响应算子半正定，导致相关威沙特无序。在强无序极限下，方程将长波响应简化为标量无序诱导对比场。在弹性中，该场描述刚性纳米颗粒和边界周围硬壳形成，其特征范围由非仿射长度设定。对 Lennard-Jones 玻璃和模型聚合物的分子动力学模拟证实了预测。非局部弹性核的直接计算进一步表明，响应在硬化界面尺度上主要是局部的。
英文摘要
Strongly disordered solids exhibit distinctive properties at the nanoscale, where conventional continuum theory breaks down. We show that their disorder-averaged linear response can be described by a modified continuum theory in which the response coefficients are local but depend nonlocally on the structural properties. The stability criterion requires the response operator to be positive semidefinite, which naturally leads to a correlated Wishart disorder. In the limit of strong disorder, the resulting theory reduces the long-wavelength response to a scalar disorder-induced contrast field. In elasticity, this field describes the formation of a stiffened interphase around rigid nanoparticles and boundaries, whose characteristic extent is set by the nonaffine length. The predictions are confirmed by molecular-dynamics simulations of a Lennard-Jones glass and a model polymer. Direct calculations of the nonlocal elastic kernels show that their spatial range is much shorter than the extent of the stiffened interphase, demonstrating that the latter does not require long-range constitutive nonlocality.
