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Table 3 Comparison of [ξ] for surfaces with negative skewness (σ = 1, ϑ = − 2.3)

From: A Comparative Study on Asperity Peak Modeling Methods

Skewness Correlation length Method ξavg σ \(\overline{\kappa }\) η
−0.25 0 Three-point definition 0.8281 0.9931 1.1637 0.3330
Spectral moment approach 1.8214 0.6360 1.2382 0.2093
50 Three-point definition 0.2639 1.0830 1.2095 0.1971
Spectral moment approach 0.5281 1.0492 1.2715 0.1751
100 Three-point definition 0.2477 1.0463 1.2027 0.1998
Spectral moment approach 0.4235 1.1686 1.2940 0.1749
−0.5 0 Three-point definition 0.8268 0.9953 1.0846 0.3353
Spectral moment approach 1.8412 0.6351 1.2884 0.2094
50 Three-point definition 0.2151 1.0449 1.1001 0.2041
Spectral moment approach 0.5093 1.0311 1.2142 0.1752
100 Three-point definition 0.2102 1.0928 1.1747 0.1927
Spectral moment approach 0.3691 1.0696 1.2243 0.1742