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- W4287589495 abstract "In this paper we develop a detailed analysis of critical prewetting in the context of the two-dimensional Ising model. Namely, we consider a two-dimensional nearest-neighbor Ising model in a $2Ntimes N$ rectangular box with a boundary condition inducing the coexistence of the $+$ phase in the bulk and a layer of $-$ phase along the bottom wall. The presence of an external magnetic field of intensity $h=lambda/N$ (for some fixed $lambda>0$) makes the layer of $-$ phase unstable. For any $beta>beta_{rm c}$, we prove that, under a diffusing scaling by $N^{-2/3}$ horizontally and $N^{-1/3}$ vertically, the interface separating the layer of unstable phase from the bulk phase weakly converges to an explicit Ferrari-Spohn diffusion." @default.
- W4287589495 created "2022-07-25" @default.
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- W4287589495 date "2020-11-24" @default.
- W4287589495 modified "2023-10-16" @default.
- W4287589495 title "Critical prewetting in the 2d Ising model" @default.
- W4287589495 hasPublicationYear "2020" @default.
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