Correlations of a bound interface over a random substrate

Thierry Huillet (1) , Joel de Coninck (2) , Francois Dunlop (1)

1 LPTM - UMR 8089 - Laboratoire de Physique Théorique et Modélisation
2 LPSI - Laboratoire de Physique des Surfaces et des Interfaces

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 $\bra h_i;h_{i+j}\ket$, 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.

Mots clés: Interfaces; random substrate; SOS model

Domaines: Systèmes désordonnés et réseaux de neurones [cond-mat.dis-nn]

Thierry Huillet, Joel de Coninck, Francois Dunlop. Correlations of a bound interface over a random substrate. The European Physical Journal B: Condensed Matter and Complex Systems, 2006, 54 (3), pp.341-345. ⟨hal-00093148⟩