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Effect of disorder on two-dimensional wetting

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Abstract

For the problem of the 2D wetting transition near a 1D random wall, we show by a renormalization calculation that the effect of disorder is marginally relevant. It is therefore expected that the nature of the wetting transition and the location of the critical point are modified by any amount of disorder. This is supported by numerical simulations based on transfer matrix calculations. We investigate also the problem of wetting near a random wall on hierarchical lattices and find similar results.

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Authors and Affiliations

  1. Service de Physique Théorique de Saclay (Laboratoire de la Direction des Sciences de la Matière du Commissariat à l'Energie Atomique), F-91191, Gif-sur-Yvette Cedex, France

    B. Derrida

  2. Laboratoire de Physique Statistique (Laboratoire associé au CNRS et aux Universités Paris 6 et Paris 7), ENS, 24 rue Lhomond, 75231, Paris Cedex 05, France

    V. Hakim & J. Vannimenus

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  1. B. Derrida
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  2. V. Hakim
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  3. J. Vannimenus
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Derrida, B., Hakim, V. & Vannimenus, J. Effect of disorder on two-dimensional wetting. J Stat Phys 66, 1189–1213 (1992). https://doi.org/10.1007/BF01054419

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  • DOI: https://doi.org/10.1007/BF01054419

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