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Dissipation anomaly in a turbulent quantum fluid

Lookup NU author(s): Dr Luca Galantucci, Mx Em Rickinson, Dr Andrew BaggaleyORCiD, Professor Nick ParkerORCiD, Professor Carlo Barenghi



This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).


© 2023 authors. Published by the American Physical Society. 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.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.

Publication metadata

Author(s): Galantucci L, Rickinson E, Baggaley AW, Parker NG, Barenghi CF

Publication type: Article

Publication status: Published

Journal: Physical Review Fluids

Year: 2023

Volume: 8

Issue: 3

Print publication date: 01/03/2023

Online publication date: 23/03/2023

Acceptance date: 03/03/2023

Date deposited: 17/04/2023

ISSN (electronic): 2469-990X

Publisher: American Physical Society


DOI: 10.1103/PhysRevFluids.8.034605


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