Eur. Phys. J. B 54, 341-344 (2006)
https://doi.org/10.1140/epjb/e2007-00009-7

Correlations of a bound interface over a random substrate

¹ Centre de Recherche en Modélisation Moléculaire, Université de Mons-Hainaut, 20 Place du Parc, 7000 Mons, Belgium
² Laboratoire de Physique Théorique et Modélisation (CNRS - UMR 8089), Université de Cergy-Pontoise, 95302 Cergy-Pontoise, France

Corresponding authors: ^a joel.de.coninck@crmm.umh.ac.be - ^b francois.dunlop@u-cergy.fr - ^c thierry.huillet@u-cergy.fr

Received: 31 August 2006
Revised: 24 November 2006
Published online: 13 January 2007

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 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.