Entropic repulsion of an interface in an external field

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.

References in corpus (2)

• Ornstein-Zernike Theory for the finite range Ising models above T_c
• Universality of Critical Behaviour in a Class of Recurrent Random Walks

Cited by in corpus (9)

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• Dyson Ferrari--Spohn diffusions and ordered walks under area tilts
• Critical prewetting in the 2d Ising model
• On level line fluctuations of SOS surfaces above a wall
• Wetting of gradient fields: pathwise estimates
• Entropic repulsion and scaling limit for a finite number of non-intersecting subcritical FK interfaces