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A note on wetting transition for gradient fields

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  • Caputo, P.
  • Velenik, Y.

Abstract

We prove existence of a wetting transition for two classes of gradient fields which include: (1) The Continuous SOS model in any dimension and (2) The massless Gaussian model in dimension 2. Combined with a recent result proving the absence of such a transition for Gaussian models above 2 dimensions (Bolthausen et al., 2000.) J. Math. Phys. to appear), this shows in particular that absolute-value and quadratic interactions can give rise to completely different behavior.

Suggested Citation

  • Caputo, P. & Velenik, Y., 2000. "A note on wetting transition for gradient fields," Stochastic Processes and their Applications, Elsevier, vol. 87(1), pages 107-113, May.
    • Handle: RePEc:eee:spapps:v:87:y:2000:i:1:p:107-113
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    References listed on IDEAS

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    1. van Leeuwen, J.M.J. & Hilhorst, H.J., 1981. "Pinning of a rough interface by an external potential," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 107(2), pages 319-329.
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    Cited by:

    1. Külske, Christof & Orlandi, Enza, 2008. "Continuous interfaces with disorder: Even strong pinning is too weak in two dimensions," Stochastic Processes and their Applications, Elsevier, vol. 118(11), pages 1973-1981, November.
    2. Isozaki, Yasuki & Yoshida, Nobuo, 2001. "Weakly pinned random walk on the wall: pathwise descriptions of the phase transition," Stochastic Processes and their Applications, Elsevier, vol. 96(2), pages 261-284, December.
    3. Deuschel, Jean-Dominique & Nishikawa, Takao, 2007. "The dynamic of entropic repulsion," Stochastic Processes and their Applications, Elsevier, vol. 117(5), pages 575-595, May.
    4. Coquille, L. & Miłoś, P., 2013. "A note on the discrete Gaussian free field with disordered pinning on Zd, d≥2," Stochastic Processes and their Applications, Elsevier, vol. 123(9), pages 3542-3559.

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