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Entropic repulsion of an interface in an external field
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  • Published: 02 February 2004

Entropic repulsion of an interface in an external field

  • Y. Velenik1 

Probability Theory and Related Fields volume 129, pages 83–112 (2004)Cite this article

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Abstract.

We consider an interface above an attractive hard wall in the complete wetting regime, and submitted to the action of an external increasing, convex potential, and study its delocalization as the intensity of this potential vanishes. Our main motivation is the analysis of critical prewetting, which corresponds to the choice of a linear external potential. We also present partial results on critical prewetting in the two dimensional Ising model, as well as a few (weak) results on pathwise estimates for the pure wetting problem for effective interface models.

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Authors and Affiliations

  1. Laboratoire de Mathématiques, Raphaël Salem, UMR-CNRS 6085 Université de Rouen, 76821, Mont-Saint-Aignan, France

    Y. Velenik

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  1. Y. Velenik
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Correspondence to Y. Velenik.

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Mathematics Subject Classification (2000): 60K35, 82B41, 82B27

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Velenik, Y. Entropic repulsion of an interface in an external field. Probab. Theory Relat. Fields 129, 83–112 (2004). https://doi.org/10.1007/s00440-003-0328-5

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  • Received: 30 July 2003

  • Revised: 03 November 2003

  • Published: 02 February 2004

  • Issue Date: May 2004

  • DOI: https://doi.org/10.1007/s00440-003-0328-5

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Keywords

  • External Field
  • Ising Model
  • Main Motivation
  • Partial Result
  • Interface Model
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