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    Shear and Bulk Viscosities of Water up to 1.6 GPa and Anomaly in the Structural Relaxation Time

    Jan Eichler1,*, Johannes Stefanski1,*, José Martin Roca2, Isabelle Daniel3, Bruno Issenmann1, Chantal Valeriani2, and Frédéric Caupin1,†

    • 1Institut Lumière Matière, Université Claude Bernard Lyon 1, CNRS, Institut Universitaire de France, F-69622, Villeurbanne, France
    • 2Departamento de estructura de la materia, física térmica y electrónica, Facultad de Ciencias Fisicas, Universidad Complutense de Madrid, 28040, Spain
    • 3Laboratoire de Géologie de Lyon Terre, Planètes et Environnement, Université Claude Bernard Lyon 1, CNRS, École Normale Supérieure de Lyon, Université Jean Monnet Saint-Étienne F-69622, Villeurbanne, France

    • *These authors contributed equally to this work.
    • †Contact author: frederic.caupin@univ-lyon1.fr

    Phys. Rev. Lett. 134, 134101 – Published 1 April, 2025

    DOI: https://doi.org/10.1103/PhysRevLett.134.134101

    Abstract

    Deep in Earth’s crust, pressure exceeds 1000 times the atmospheric pressure. Water still flows under these conditions, but experiences dramatic changes in structure and fluidity. Using combined dynamic and inelastic light scattering techniques, we simultaneously measure the shear and bulk viscosities of water as a function of pressure. The former increases faster than the latter, so that their ratio shows a twofold decrease from 0 to 1.6 GPa; we confirm this trend with simulations. We analyze our results in terms of the structural relaxation time τ. Contrary to other liquids, pressure initially accelerates relaxation in water. Our measurements reveal that τ reaches a minimum close to 1 ps around 0.5 GPa. We interpret τ as the equilibration time of hydrogen bonds and propose that the minimum in τ arises from a structural anomaly that allows fastest interconversion between local structures in water and generates a cascade of thermodynamic and dynamic anomalies.

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