论文标题
具有高分形维的随机粗糙表面的粘性：是否存在分形极限？
Stickiness of randomly rough surfaces with high fractal dimension: is there a fractal limit?
论文作者
论文摘要
如果打破相互接触需要有限的拉伸力，则两个表面是“粘性”的。在低分形维度D处，存在共识的粘性不取决于粗糙度光谱的上部截断频率（或“放大倍率”）。由于在高d处的案例仍在辩论中，我们利用了Ciavarella和Persson-Tosatti理论的BAM理论来得出所有分形维度的标准。对于高d，我们表明粘性受到低波长粗糙度的影响更大。 BAM以高分性收敛到一个仅取决于d的简单标准，与包括Lennard-Jones牵引差距定律的理论一致，而Persson-Tosatti由于简化的近似而不同意。
Two surfaces are "sticky" if breaking their mutual contact requires a finite tensile force. At low fractal dimensions D, there is consensus stickiness does not depend on the upper truncation frequency of roughness spectrum (or "magnification"). As debate is still open for the case at high D, we exploit BAM theory of Ciavarella and Persson-Tosatti theory, to derive criteria for all fractal dimensions. For high D, we show that stickiness is more influenced by short wavelength roughness with respect to the low D case. BAM converges at high magnifications to a simple criterion which depends only on D, in agreement with theories that includes Lennard-Jones traction-gap law, while Persson-Tosatti disagrees because of its simplifying approximations.
