论文标题
三维无序晶体中的无脑波动
Athermal fluctuations in three dimensional disordered crystals
论文作者
论文摘要
我们研究了由三个维度的无摩擦球组成的近结晶材料。我们分析了粒径小的多分散性产生的位置和力的波动。我们概括了最近开发的有关结晶有序状态的扰动扩展到三维系统。这使我们能够准确地预测位置和力的变化，以响应粒子半径变化。我们表明，与沿晶格方向的波动相比，与晶格方向正交的力的波动受到高度限制。此外，我们分析了微观障碍产生的位移场中的相关性，我们显示的是长期范围的行为。
We study jammed near-crystalline materials composed of frictionless spheres in three dimensions. We analyze the fluctuations in positions and forces produced by small polydispersity in particle sizes. We generalize a recently developed perturbation expansion about the crystalline ordered state to three dimensional systems. This allows us to exactly predict changes in positions and forces as a response to the changes in particle radii. We show that fluctuations in forces orthogonal to the lattice directions are highly constrained as compared to the fluctuations along lattice directions. Additionally, we analyze the correlations in the displacement fields produced by the microscopic disorder, which we show displays long ranged behaviour.
