Towards a long-range theory of capillarity

2024/04/10 by Enrico Valdinoci, Valdinoci, Enrico
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #FOS: Mathematics #Stochastic processes and statistical mechanics #nanoparticles nucleation surface interactions

paper · pdf · doi:10.48550/arxiv.2404.06705

openalex publication_date 2024/04/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We recall the classical theory of capillarity, describing the shape of a liquid droplet in a container, and present a recent approach which aims at accounting for long-range particle interactions. This nonlocal setting recovers the classical notion of surface tension in the limit. We provide some regularity results and the determination of the contact angle, supplied with various asymptotics.

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