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arXiv · math-ph/0612047

Correlations of a bound interface over a random substrate

Joël De Coninck·François Dunlop·Thierry Huillet
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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 < h_i ; h_{i+j} >, averaged over the substrate disorder, fits a form exp(-(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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Joël De Coninck, François Dunlop, Thierry Huillet. 2006-12-15. Correlations of a bound interface over a random substrate. https://doi.org/10.1140/epjb/e2007-00009-7

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