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DY: Fachverband Dynamik und Statistische Physik

DY 22: Focus Session: Recent Progresses in Criticality in the Presence of Boundaries and Defects I (joint session DY/TT)

DY 22.4: Talk

Wednesday, March 20, 2024, 10:30–10:45, A 151

Many-body correlations at wetting. Exact results — •Alessio Squarcini — Institute for Theoretical Physics, Innsbruck

The exact characterization of correlations in the presence of strongly fluctuating interfaces has always been considered a difficult problem in classical statistical mechanics. In this talk we present exact results for density correlations for an interface forming a droplet in two dimensions whose endpoints are pinned on a wall. Our framework, which hinges on recently developed field-theoretical techniques, applies to interfaces entropically repelled by a hard wall as well as to the regime of wetting transitions that we characterize also via the notion of interface structure factor in capillary wave theory. We will show that for entropically repelled interfaces the finite extent of the droplet yields finite-size corrections to correlation functions. These corrections are interpreted as adsorption of bubbles and self-interaction of the interface; their exact form is identified, interpreted in terms of Brownian excursions, and finally tested against high-precision Monte Carlo simulations in the absence of adjustable parameters. This analysis allows us to resolve a 40-years old discrepancy observed in early Monte Carlo studies. For the regime of wetting we present a recent conjectured expression for n-point correlation functions whose proof is a current work in progress.

A. Squarcini and A. Tinti, SciPost Phys. 15, 164 (2023). A. Squarcini and A. Tinti, Journal of High Energy Physics, 123 (2023). A. Squarcini and A. Tinti, J. Stat. Mech. (2023) 013206

Keywords: Boundary field theory; Near-critical systems; Interfaces and wetting; Exact results; Many-body correlation functions