Autocorrelation length (ACL) is a surface roughness parameter that provides spatial information of surfacetopography that is not included in amplitude parameters such as root-mean-square roughness. This paper presents a relationship between ACL and the friction behavior of a rough surface. The influence of ACL on the peak distribution of a profile is studied based on Whitehouse and Archard’s classical analysis [Whitehouse and ArchardProc. R. Soc. London, Ser. A316, 97 (1970)] and their results are extended to compare profiles from different surfaces. The probability density function of peaks and the mean peak height of a profile are given as functions of its ACL. These results are used to estimate the number of contact points when a rough surface comes into contact with a flat surface, and it is shown that the larger the ACL of the rough surface, the less the number of contact points. Based on Hertzian contact mechanics, it is shown that the real area of contact increases with increasing of number of contact points. Since adhesivefriction force is proportional to the real area of contact, this suggests that the adhesivefriction behavior of a surface will be inversely proportional to its ACL. Results from microscale friction experiments on polished and etchedsiliconsurfaces are presented to verify the analysis.
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机译：自相关长度（ACL）是一个表面粗糙度参数，它提供了表面形貌的空间信息，该信息不包含在幅度参数中，例如均方根粗糙度。本文介绍了ACL与粗糙表面的摩擦行为之间的关系。根据Whitehouse和Archard的经典分析[Whitehouse and ArchardProc。]，研究了ACL对轮廓峰分布的影响。 R. Soc。伦敦，序列[A316，97（1970）]及其结果得到扩展以比较不同表面的轮廓。峰的概率密度函数和轮廓的平均峰高作为其ACL的函数给出。这些结果被用于估计当粗糙表面与平坦表面接触时的接触点的数量，并且表明，粗糙表面的ACL越大，接触点的数量越少。基于赫兹接触力学，表明实际接触面积随着接触点数量的增加而增加。由于粘合剂的摩擦力与实际接触面积成正比，因此这表明表面的粘合剂摩擦行为将与其ACL成反比。提出了在抛光和蚀刻的硅表面上进行的微型摩擦实验的结果，以验证分析结果。
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