论文标题
带电的颗粒系统中的塑料不稳定性：弹性和静电之间的竞争
Plastic Instabilities in Charged Granular Systems: Competition between Elasticity and Electrostatics
论文作者
论文摘要
静电理论保留了电荷，但允许偶极激发。弹性理论保留了偶极子，但允许四极（Eshelby喜欢）塑料事件。带电的无定形颗粒系统本身就很有趣。在这里，我们专注于它们的塑性不稳定性，并检查其对外部应变和外部电场的机械反应，以暴露弹性和静电之间的竞争。在本文中，提供了通用模型，检查了其机械不稳定性，并提供了理论分析。将塑料不稳定性讨论为可以完全理解相关Hessian矩阵的特征值和本征函数的鞍节分叉。该系统表现出模量，描述了电力和应力如何受应变和电场的影响。提供了这些模量的理论表达，并将其与数值模拟中的测量值进行了比较。
Electrostatic theory preserves charges, but allows dipolar excitations. Elasticity theory preserves dipoles, but allows quadrupolar (Eshelby like) plastic events. Charged amorphous granular systems are interesting in their own right; here we focus on their plastic instabilities and examine their mechanical response to external strain and to external electric field, to expose the competition between elasticity and electrostatics. In this paper a generic model is offered, its mechanical instabilities are examined and a theoretical analysis is presented. Plastic instabilities are discussed as saddle-node bifurcations that can be fully understood in terms of eigenvalues and eigenfunctions of the relevant Hessian matrix. This system exhibits moduli that describe how electric polarization and stress are influenced by strain and electric field. Theoretical expression for these moduli are offered and compared to the measurements in numerical simulations.
