Report on scipost_202302_00024v1
Year: 2023
Type: peer-review
Abstract: The characterization of density correlations in the presence of strongly fluctuating interfaces has always been considered a difficult problem in statistical mechanics.Here we study -by using recently developed exact field-theoretical techniques -density correlations for an interface with endpoints on a wall forming a droplet in 2D.Our framework applies to interfaces entropically repelled by a hard wall as well as to wetting transitions.In the former case bubbles adsorbed on the interface are taken into account by the theory which yields a systematic treatment of finite-size corrections to one-and twopoint functions and show how these are related to Brownian excursions.Our analytical predictions are confirmed by Monte Carlo simulations without free parameters.We also determine one-and two-point functions at wetting by using integrable boundary field theory.We show that correlations are long ranged for entropic repulsion and at wetting.For both regimes we investigate correlations in momentum space by generalizing the notion of interface structure factor to semi-confined systems.Distinctive signatures of the two regimes manifest in the structure factor through a term that we identify on top of the capillary-wave one.7 Conclusions 18 A One-point functions at wetting 20 B Two-point functions at wetting 24 C Interfacial fluctuations and structure factor 26 References 27
Authors: Alessio Squarcini, Antonio Tinti
Institutions: Universität Innsbruck, Sapienza University of Rome
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
OpenAlex ID: W4387702128