Shear viscosity and Stokes-Einstein violation in supercooled light and heavy water

Abstract

We report shear viscosity of heavy water supercooled $33\mathrm{K}$ below its melting point, revealing a 15-fold increase compared to room temperature. We also confirm our previous data for the viscosity of supercooled light water, and reach a better accuracy. Our measurements, based on the spontaneous Brownian motion of $350\mathrm{nm}$ spheres, disagree at the lowest temperature with the only other available data, based on Poiseuille flow in a narrow capillary, which may have been biased by electro-osmotic effects. The viscosity ratio between the two isotopes reaches 2.2 at the lowest temperature. A companion Letter [F. Caupin, P. Ragueneau, and B. Issenmann, arXiv:2112.09010] discusses this giant dynamic isotopic effect. Here we provide a detailed description of the experiment and its analysis. We review the literature data about dynamic properties of water (viscosity, self-diffusion coefficient, and rotational correlation time), discuss their temperature dependence and compare their decoupling in the two isotopes.

21 pages, 21 figures, 14 tables + supplemental material with 8 pages and 2 tables. Modified Fig. 19, added Sections V.D, V.E, and SM.I

References in corpus (5)

• Differential Dynamic Microscopy: Probing wave vector dependent dynamics with a microscope
• Fractional Stokes-Einstein and Debye-Stokes-Einstein relations in a network forming liquid
• Equation of state for supercooled water at pressures up to 400 MPa
• Shrinking of Rapidly Evaporating Water Microdroplets Reveals their Extreme Supercooling
• Thermodynamics of Fluid Polyamorphism

Cited by in corpus (1)

• Isotope effect on the anomalies of water: a corresponding states analysis