Correlations of a bound interface over a random substrate
Mathematical Physics
2015-06-26 v1 math.MP
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.
Cite
@article{arxiv.math-ph/0612047,
title = {Correlations of a bound interface over a random substrate},
author = {Joël De Coninck and François Dunlop and Thierry Huillet},
journal= {arXiv preprint arXiv:math-ph/0612047},
year = {2015}
}
Comments
7 pages, 5 figures