Correlations of a bound interface over a random substrate

  • J. De Coninck
  • F. Dunlop
  • T. Huillet
Physics of Fluids


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.


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  


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. R.N. Wenzel, Industrial and Engineering Chemistry 28, 988 (1936) CrossRefGoogle Scholar
  2. R.N. Wenzel, J. Phys. Coll. Chem. 53, 1466 (1949) CrossRefGoogle Scholar
  3. J.C. Stover, Optical scattering: measurement and analysis (SPIE Optical Engineering Press, 1995) Google Scholar
  4. Y. Velenik, Probability Surveys 3, 112 (2006) CrossRefMathSciNetGoogle Scholar
  5. G. Giacomin, Random Polymer Models (Imperial College Press, June 2006) Google Scholar
  6. D.B. Abraham, E.R. Smith, Phys. Rev. B 26, 1480 (1982) CrossRefADSGoogle Scholar
  7. D.B. Abraham, E.R. Smith, J. Stat. Phys. 43, 621 (1986) CrossRefMathSciNetGoogle Scholar
  8. J. De Coninck, F. Dunlop, Th. Huillet, J. Stat. Phys. 123, 223 (2006) CrossRefMathSciNetGoogle Scholar
  9. C. Fortuin, P. Kasteleyn, J. Ginibre, Comm. Math. Phys. 79, 141 (1981) CrossRefADSMathSciNetGoogle Scholar

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

Personalised recommendations