Critical wetting in the (2+1)D Solid-On-Solid model

2024/06/17 by Joseph Chen, Reza Gheissari, Chen, Joseph +3
Materials Science · Physics and Astronomy · #60K35 #82B20 #82B27 #FOS: Mathematics #FOS: Physical sciences #Material Dynamics and Properties #Mathematical Physics (math-ph) #Probability (math.PR) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2406.12040

openalex publication_date 2024/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we study the low temperature (2+1)D SOS interface above a hard floor with critical pinning potential λ_w= log (\frac11-e^-4β). At λ<λ_w entropic repulsion causes the surface to delocalize and be rigid at height \frac14βlog n+O(1); at λ>λ_w it is localized at some O(1) height. We show that at λ=λ_w, there is delocalization, with rigidity now at height \lfloor \frac16βlog n+\frac13\rfloor, confirming a conjecture of Lacoin.

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