Correlations of a bound interface over a random substrate
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
Revised: 24 November 2006
Published online: 13 January 2007
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.
PACS: 02.50.-r – Probability theory, stochastic processes, and statistics / 02.50.Ng – Distribution theory and Monte Carlo studies / 05.70.Np – Interface and surface thermodynamics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2007