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Monte Carlo simulation study of the thicknesses of wetting layers in pure and impure (quenched random-field) environments

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  • Langie, G.
  • Nijmeijer, M.J.P.
  • Nikas, Y.J.
  • Indekeu, J.O.

Abstract

Wetting layer thicknesses have been measured in Monte Carlo simulations of a three-dimensional solid-on-solid model of adsorption. In a pure environment the average thickness l is found to follow the expected logarithmic law as a function of the undersaturation or bulk field hB. At small hB the results are consistent with a cross-over to a power law l ∞ h-1B, predicted on the basis of finite-size effects. In an impure quenched random-field environment a logarithmic law is found at relatively large hB, as for the pure system. When hB is lowered the simulations show pinning of the interface by the random fields, implying slowing down of the relaxation, strong dependence on the starting configuration, and strong sensitivity to the random-field environment. In addition to the cross-over due to the finite system size, these problems have made the expected power-law behaviour l ∝ h-12B inextricable.

Suggested Citation

  • Langie, G. & Nijmeijer, M.J.P. & Nikas, Y.J. & Indekeu, J.O., 1993. "Monte Carlo simulation study of the thicknesses of wetting layers in pure and impure (quenched random-field) environments," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 192(3), pages 391-409.
    • Handle: RePEc:eee:phsmap:v:192:y:1993:i:3:p:391-409
    DOI: 10.1016/0378-4371(93)90045-6
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    1. Robert W. Gilmer & Daniel C. Morgan Jr., 1979. "Wealth Neutral Grants for Public Education," Public Finance Review, , vol. 7(3), pages 259-281, July.
    2. J.P. Landau, 1988. "Quelles perspectives pour 1992? Table ronde: P. Artus C. de Boissieu G. Étrillard J.P. Fitoussi J.P. Landau P.A. Muet," Revue Française d'Économie, Programme National Persée, vol. 3(1), pages 133-144.
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