论文标题
部分可观测时空混沌系统的无模型预测
Role of long-range van der Waals interaction in the coefficient of static friction
论文作者
论文摘要
为了研究远程范德华相互作用在静态摩擦中的作用，我们得出了在零载荷下两层可极化的材料之间的静态摩擦$μ_s$系数的分析表达。为了简单起见，我们用正弦波纹对表面粗糙度进行建模，并将相互作用能触及到波纹幅度的第二阶。相应的最大侧向西米尔力与正常Casimir力的比率定义为静态摩擦系数，发现该系数与材料的介电性能无关。它取决于几何特性，例如层间分离，波纹幅度和波纹的波长。作为概念的证明，我们预测的2D范德华材料石墨烯和六角硼的$μ_s$与先前报道的文献中的值是合理的一致的。可以通过结合其他力来概括这个简单的模型，例如范德华相互作用和静电相互作用的频率依赖性贡献。
To investigate the role of long-range van der Waals interactions in static friction, we derive an analytic expression for the coefficient of static friction $μ_s$ between two thin layers of polarizable materials under zero load. For simplicity, we model the surface roughness with sinusoidal corrugations and calculate the interaction energy perturbatively up to the second order in corrugation amplitude. The ratio of corresponding maximum lateral Casimir force to normal Casimir force is defined as the coefficient of static friction, which is found to be independent of the dielectric properties of the materials. It depends on the geometric properties, like interlayer separation, corrugation amplitude, and wavelength of the corrugation. As a proof of concept, our predicted values of $μ_s$ for the 2D van der Waals materials graphene and hexagonal boron nitride are in reasonable agreement with previously reported values in the literature. This simplistic model could be generalized by incorporating other forces, such as the frequency-dependent contributions of van der Waals interactions and electrostatic interactions.
