Abstract.
The correlation function of a one-dimensional interface over a random substrate, bound to the substrate by a pressure term, is studied by Monte-Carlo simulation. It is found that the height correlation 〈hi;hi+j 〉, averaged over the substrate disorder, fits a form $ae^{-(j/b)^c}$ to a surprising precision in the full range of j where the correlation is non-negligible. The exponent c increases from 1.0 to 1.5 when the interface tension is taken larger and larger.
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De Coninck, J., Dunlop, F. & Huillet, T. Correlations of a bound interface over a random substrate. Eur. Phys. J. B 54, 341–344 (2006). https://doi.org/10.1140/epjb/e2007-00009-7
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DOI: https://doi.org/10.1140/epjb/e2007-00009-7