Correlations of a bound interface over a random substrate

Physics of Fluids
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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 〈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  

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Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Authors and Affiliations

  1. 1.Centre de Recherche en Modélisation Moléculaire, Université de Mons-HainautMonsBelgium
  2. 2.Laboratoire de Physique Théorique et Modélisation (CNRS - UMR 8089), Université de Cergy-PontoiseCergy-PontoiseFrance

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