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Author Persson, B. N. J.
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2008-05-06
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics
Subject Keyword Condensed Matter - Soft Condensed Matter ♦ physics:cond-mat
Abstract When two elastic solids with randomly rough surfaces are brought in contact, a very inhomogeneous stress distribution sigma(x) will occur at the interface. Here I study the elastic energy and the correlation function <sigma(q)sigma(-q)>, where sigma(q) is the Fourier transform of sigma(x) and where <...> stands for ensemble average. I relate <sigma(q})sigma(-q)> to the elastic energy stored at the interface, and I show that for self affine fractal surfaces, quite generally <sigma(q)sigma(-q)> \sim q^{-(1+H)}, where H is the Hurst exponent of the self-affine fractal surface.
Educational Use Research
Learning Resource Type Article
Page Count 3


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