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  • Open Access

Quantum Vortices Leave a Macroscopic Signature in the Thermal Background

Luca Galantucci1,2,*, Giorgio Krstulovic3,†, and Carlo F. Barenghi2,‡

  • *Contact author: luca.galantucci@cnr.it
  • †Contact author: giorgio.krstulovic@oca.eu
  • ‡Contact author: carlo.barenghi@newcastle.ac.uk
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Phys. Rev. Lett. 136, 016001 – Published 2 January, 2026

DOI: https://doi.org/10.1103/xnyc-321m

Abstract

Recent work has highlighted the remarkable properties of quantum turbulence in superfluid helium II, consisting of a disordered tangle of quantized vortex lines which interact with each other and reconnect when they collide. According to Landau’s two-fluid theory, these vortex lines move in a surrounding of thermal excitations called the normal fluid. Until now, the normal fluid has often been considered a passive background which simply provides the vortex lines with a mechanism for dissipating their kinetic energy into heat. Using a model which fully takes into account the two-way interaction between the vortex lines and the normal fluid, here we show numerically that each vortex line creates a macroscopic wake in the normal fluid that can be larger than the average distance between vortex lines; this is surprising, given the microscopic size of the superfluid vortex cores which induce these wakes. We show that in heat transfer experiments, the flow of the normal fluid can therefore be described as the superposition of an imposed uniform flow and wakes generated by the vortex lines, leading to nonclassical statistics of the normal fluid velocity. We also argue that this first evidence of independent fluid structures in the thermal excitations postulated by Landau may be at the root of recent, unaccounted for, experimental findings.

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References (41)

  1. W. F. Vinen, Proc. R. Soc. A 242, 493 (1957).
  2. S. Babuin, M. Stammeier, E. Varga, M. Rotter, and L. Skrbek, Phys. Rev. B 86, 134515 (2012).
  3. E. J. Yarmchuk, M. J. V. Gordon, and R. E. Packard, Phys. Rev. Lett. 43, 214 (1979).
  4. O. Avenel and E. Varoquaux, Phys. Rev. Lett. 55, 2704 (1985).
  5. J. T. Mäkinen, S. Autti, P. J. Heikkinnen, J. J. Hosio, R. Hänninen, V. S. L’vov, P. M. Walmsley, V. V. Zavjalov, and V. B. Eltsov, Nat. Phys. 19, 898 (2023).
  6. C. Peretti, J. Vessaire, É. Durozoy, and M. Gibert, Sci. Adv. 9, eadh2899 (2023).
  7. E. Fonda, D. Meichle, B. Ouellette, S. Hormoz, and D. Lathrop, Proc. Natl. Acad. Sci. U.S.A. 111, 4707 (2014).
  8. L. Skrbek, D. Schmoranzer, S. Midlik, and K. R. Sreenivasan, Proc. Natl. Acad. Sci. U.S.A. 118, e2018406118 (2021).
  9. C. F. Barenghi, H. A. J. Middleton-Spencer, L. Galantucci, and N. G. Parker, AVS Quantum Sci. 5, 025601 (2023).
  10. H. Hall and W. Vinen, Proc. R. Soc. A 238, 204 (1956).
  11. H. Hall and W. Vinen, Proc. R. Soc. A 238, 215 (1956).
  12. T. Zhang and S. W. Van Sciver, Nat. Phys 1, 36 (2005).
  13. G. P. Bewley, D. P. Lathrop, and K. P. Sreenivasan, Nature (London) 441, 588 (2006).
  14. M. La Mantia, D. Duda, M. Rotter, and L. Skrbek, J. Fluid Mech., 717, R9 (2013).
  15. Y. Tang, W. Guo, H. Kobayashi, S. Yui, M. Tsubota, and T. Kanai, Nat. Commun. 14, 2941 (2023).
  16. W. Kubo and Y. Tsuji, J. Low Temp. Phys. 196, 170 (2019).
  17. T. Xu and S. V. Van Sciver, Phys. Fluids 19, 071703 (2007).
  18. L. Galantucci, M. Sciacca, and C. F. Barenghi, Phys. Rev. B 92, 174530 (2015).
  19. S. Yui, M. Tsubota, and H. Kobayashi, Phys. Rev. Lett. 120, 155301 (2018).
  20. D. J. Melotte and C. F. Barenghi, Phys. Rev. Lett. 80, 4181 (1998).
  21. W. Guo, S. B. Cahn, J. A. Nikkel, W. F. Vinen, and D. N. McKinsey, Phys. Rev. Lett. 105, 045301 (2010).
  22. D. Kivotides, C. F. Barenghi, and D. C. Samuels, Science 290, 777 (2000).
  23. L. Galantucci, A. Baggaley, C. Barenghi, and G. Krstulovic, Eur. Phys. J. Plus 135, 547 (2020).
  24. K. W. Schwarz, Phys. Rev. B 38, 2398 (1988).
  25. D. Kivotides, Phys. Rev. Fluids 3, 104701 (2018).
  26. L. Galantucci, G. Krstulovic, and C. F. Barenghi, Phys. Rev. Fluids 8, 014702 (2023).
  27. S. Inui and M. Tsubota, Phys. Rev. B 104, 214503 (2021).
  28. B. Mastracci, S. Bao, W. Guo, and W. F. Vinen, Phys. Rev. Fluids 4, 083305 (2019).
  29. B. Mastracci and W. Guo, Phys. Rev. Fluids 3, 063304 (2018).
  30. N. Mordant, E. Leveque, and J. Pinton, New J. Phys. 6, 116 (2004).
  31. K. W. Schwarz, Phys. Rev. B 18, 245 (1978).
  32. C. Barenghi and D. Samuels, J. Low Temp. Phys. 136, 281 (2004).
  33. See Supplemental Material at http://link.aps.org/supplemental/10.1103/xnyc-321m for methods and details regarding the analytical Oseen solution.
  34. H. Lamb, Hydrodynamics (Cambridge University Press, Cambridge, 1932).
  35. P. Švančara, D. Duda, P. Hrubcová, M. Rotter, L. Skrbek, M. La Mantia, E. Durozoy, P. Diribarne, B. Rousset, M. Bourgoin et al., J. Fluid Mech. 911, A8 (2021).
  36. S. Yui, Y. Tang, W. Guo, H. Kobayashi, and M. Tsubota, Phys. Rev. Lett. 129, 025301 (2022).
  37. D. D. Awschalom, F. P. Milliken, and K. W. Schwarz, Phys. Rev. Lett. 53, 1372 (1984).
  38. L. Kondaurova, V. L’vov, A. Pomyalov, and I. Procaccia, Phys. Rev. B 89, 014502 (2014).
  39. S. K. Nemirovskii, Phys. Rep. 524, 85 (2013).
  40. S. Nemirovskii, Phys. Fluids 36, 117156 (2024).
  41. L. Galantucci, G. Krstulovic, C. F. Barenghi (2025), 10.5281/zenodo.17457098.

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Phys. Rev. Lett. 136, 016001– Published 2 January, 2026
  • Received 19 January 2025
  • Revised 2 October 2025
  • Accepted 22 October 2025
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