Slope-Slope Correlations for Self-Affine Rough Surfaces

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The slope-slope correlation function N(r) is investigated for self-affine rough surfaces. Calculations of N(r) are performed in terms of analytic phenomenological height-height correlation functions, which however compare well to real data. It is found that N(r) behaves as: N(r)∝r^2(H-1) for 0 « r « ξ, N(r) < 0 for r > ξ and N(r)→0- for r→+∞. The parameters ξ and H (0 < H < 1) are respectively the in-plene roughness correlation length, and the roughness exponent. Moreover, connection of the results to model predictions describing stable and unstable growth is attempted.
Original languageEnglish
Number of pages5
JournalSolid State Communications
Issue number10
Publication statusPublished - 1996

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