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Wetting of gradient fields: pathwise estimates
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  • Published: 08 January 2008

Wetting of gradient fields: pathwise estimates

  • Yvan Velenik1 

Probability Theory and Related Fields volume 143, pages 379–399 (2009)Cite this article

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Abstract

We consider the wetting transition in the framework of an effective interface model of gradient type, in dimension 2 and higher. We prove pathwise estimates showing that the interface is localized in the whole thermodynamically defined partial wetting regime considered in earlier works. Moreover, we study how the interface delocalizes as the wetting transition is approached. Our main tool is reflection positivity in the form of the chessboard estimate.

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Authors and Affiliations

  1. Section de Mathématiques, Université de Genève, 2-4, rue du Lièvre, Case postale 64, 1211, Geneva 4, Switzerland

    Yvan Velenik

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  1. Yvan Velenik
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Correspondence to Yvan Velenik.

Additional information

Supported in part by Fonds National Suisse.

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Cite this article

Velenik, Y. Wetting of gradient fields: pathwise estimates. Probab. Theory Relat. Fields 143, 379–399 (2009). https://doi.org/10.1007/s00440-007-0130-x

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  • Received: 30 January 2007

  • Revised: 17 December 2007

  • Published: 08 January 2008

  • Issue Date: March 2009

  • DOI: https://doi.org/10.1007/s00440-007-0130-x

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Keywords

  • Interface
  • Wetting
  • Prewetting
  • Reflection positivity

Mathematics Subject Classification (2000)

  • 60K35
  • 82B41
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