Active Young-Dupré Equation: How Self-organized Currents Stabilize Partial Wetting

[2405.20651] Active Young-Dupré Equation: How Self-organized Currents Stabilize Partial Wetting Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Condensed Matter > Soft Condensed Matter arXiv:2405.20651 (cond-mat) [Submitted on 31 May 2024] Title: Active Young-Dupré Equation: How Self-organized Currents Stabilize Partial Wetting Authors: Yongfeng Zhao , Ruben Zakine , Adrian Daerr , Yariv Kafri , Julien Tailleur , Frédéric van Wijland View a PDF of the paper titled Active Young-Dupr\'e Equation: How Self-organized Currents Stabilize Partial Wetting, by Yongfeng Zhao and 5 other authors View PDF HTML (experimental) Abstract: The Young-Dupré equation is a cornerstone of the equilibrium theory of capillary and wetting phenomena. In the biological world, interfacial phenomena are ubiquitous, from the spreading of bacterial colonies to tissue growth and flocking of birds, but the description of such active systems escapes the realm of equilibrium physics. Here we show how a microscopic, mechanical definition of surface tension allows us to build an Active Young-Dupré equation able to account for the partial wetting observed in simulations of active particles interacting via pairwise forces. Remarkably, the equation shows that the corresponding steady interfaces do not result from a simple balance between the surface tensions at play but instead emerge from a complex feedback mechanism. The interfaces are indeed stabilized by a drag force due to the emergence of steady currents, which are themselves a by-product of the symmetry breaking induced by the interfaces. These currents also lead to new physics by selecting the sizes and shapes of adsorbed droplets, breaking the equilibrium scale-free nature of the problem. Finally, we demonstrate a spectacular consequence of the negative value of the liquid-gas surface tensions in systems undergoing motility-induced phase separation: partially-immersed objects are expelled from the liquid phase, in stark contrast with what is observed in passive systems. All in all, our results lay the foundations for a theory of wetting in active systems. Comments: 31 pages, 6 figures Subjects: Soft Condensed Matter (cond-mat.soft) ; Statistical Mechanics (cond-mat.stat-mech) Cite as: arXiv:2405.20651 [cond-mat.soft] (or arXiv:2405.20651v1 [cond-mat.soft] for this version) https://doi.org/10.48550/arXiv.2405.20651 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Nat. Phys. (2026) Related DOI : https://doi.org/10.1038/s41567-026-03208-4 Focus to learn more DOI(s) linking to related resources Submission history From: Yongfeng Zhao [ view email ] [v1] Fri, 31 May 2024 07:36:04 UTC (5,474 KB) Full-text links: Access Paper: View a PDF of the paper titled Active Young-Dupr\'e Equation: How Self-organized Currents Stabilize Partial Wetting, by Yongfeng Zhao and 5 other authors View PDF HTML (experimental) TeX Source view license Current browse context: cond-mat.soft < prev | next > new | recent | 2024-05 Change to browse by: cond-mat cond-mat.stat-mech References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... 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