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Measurement of the Equation of State of Superfluid Helium-4 at Negative Pressure

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Abstract

We report a measurement of the equation of state of superfluid \(^4\)He (\(T\sim 1\) K) at negative pressure. A stimulated Brillouin gain spectrometer, used together with an optical interferometer, allows us to probe simultaneously both the compressibility and the density of acoustically driven metastable states of the liquid. In the pressure range \(0>P>-1\) bar, the measured equation of state is in agreement with available theories.

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Notes

  1. To picture the concept of negative pressure one may think at a real fluid in a container. When the fluid particles push against the walls of the container, the pressure of the fluid is positive, when they pull against it, it is negative.

  2. The resolution is defined as the spatial period for which the contrast of a transmission sinusoidal pattern observed through the imaging system is half its maximum.

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Acknowledgements

We thank F. Perrin and O. Andrieu for cryogenics support and T. Tardieu, S. Dubois, C. Rio and A. Gohlke for logistic support. This work has been funded by the french Ministère de l’Enseignement Supérieur et de la Recherche.

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Authors and Affiliations

  1. Laboratoire Kastler Brossel, ENS-PSL Université, Sorbonne Université, CNRS, Collège de France, 24 rue Lhomond, 75005, Paris, France

    Lionel Djadaojee, Cédric Parisi & Jules Grucker

  2. Laboratoire Cogitamus, Paris, France

    Camille Noûs

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  1. Lionel Djadaojee
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  2. Cédric Parisi
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Correspondence to Jules Grucker.

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Djadaojee, L., Parisi, C., Noûs, C. et al. Measurement of the Equation of State of Superfluid Helium-4 at Negative Pressure. J Low Temp Phys 210, 427–440 (2023). https://doi.org/10.1007/s10909-022-02936-0

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