Slope-Slope Correlations for Self-Affine Rough Surfaces

Research output: Contribution to journalArticleAcademic

5 Citations (Scopus)
218 Downloads (Pure)

Abstract

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
Volume100
Issue number10
DOIs
Publication statusPublished - 1996

Cite this