• Open Access

Dissipation anomaly in a turbulent quantum fluid

Luca Galantucci, Em Rickinson, Andrew W. Baggaley, Nick G. Parker, and Carlo F. Barenghi
Phys. Rev. Fluids 8, 034605 – Published 23 March 2023

Abstract

When the intensity of turbulence is increased (by increasing the Reynolds number, e.g., by reducing the viscosity of the fluid), the rate of the dissipation of kinetic energy decreases but does not tend asymptotically to zero: it levels off to a nonzero constant as smaller and smaller vortical flow structures are generated. This fundamental property, called the dissipation anomaly, is sometimes referred to as the zeroth law of turbulence. The question of what happens in the limit of vanishing viscosity (purely hypothetical in classical fluids) acquires a particular physical significance in the context of liquid helium, a quantum fluid which becomes effectively inviscid at low temperatures achievable in the laboratory. By performing numerical simulations and identifying the superfluid Reynolds number, here we show evidence for a superfluid analog to the classical dissipation anomaly. Our numerics indeed show that as the superfluid Reynolds number increases, smaller and smaller structures are generated on the quantized vortex lines on which the superfluid vorticity is confined, balancing the effect of weaker and weaker dissipation.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
2 More
  • Received 2 August 2020
  • Accepted 3 March 2023

DOI:https://doi.org/10.1103/PhysRevFluids.8.034605

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Fluid DynamicsCondensed Matter, Materials & Applied PhysicsNonlinear DynamicsGeneral Physics

Authors & Affiliations

Luca Galantucci1,2,*, Em Rickinson2, Andrew W. Baggaley2, Nick G. Parker2, and Carlo F. Barenghi2

  • 1Istituto per le Applicazioni del Calcolo M. Picone, IAC-CNR, Via dei Taurini 19, 00185 Roma, Italy
  • 2Joint Quantum Centre (JQC) Durham–Newcastle, School of Mathematics, Statistics and Physics, Newcastle University, Newcastle upon Tyne NE1 7RU, United Kingdom

  • *l.galantucci@iac.cnr.it

Article Text

Click to Expand

References

Click to Expand
Issue

Vol. 8, Iss. 3 — March 2023

Reuse & Permissions
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Fluids

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

×

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×