Phenomenology of quantum turbulence in superfluid helium
Quantum turbulence—the stochastic motion of quantum fluids such as ⁴He and ³He-B, which display pure superfluidity at zero temperature and two-fluid behavior at finite but low temperatures—has been a subject of intense experimental, theoretical, and numerical studies over the last half a century. Ye...
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| Published in | Proceedings of the National Academy of Sciences - PNAS Vol. 118; no. 16; pp. 1 - 10 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
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United States
National Academy of Sciences
20.04.2021
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| Abstract | Quantum turbulence—the stochastic motion of quantum fluids such as ⁴He and ³He-B, which display pure superfluidity at zero temperature and two-fluid behavior at finite but low temperatures—has been a subject of intense experimental, theoretical, and numerical studies over the last half a century. Yet, there does not exist a satisfactory phenomenological framework that captures the rich variety of experimental observations, physical properties, and characteristic features, at the same level of detail as incompressible turbulence in conventional viscous fluids. Here we present such a phenomenology that captures in simple terms many known features and regimes of quantum turbulence, in both the limit of zero temperature and the temperature range of two-fluid behavior. |
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| AbstractList | Quantum turbulence-the stochastic motion of quantum fluids such as
He and
He-B, which display pure superfluidity at zero temperature and two-fluid behavior at finite but low temperatures-has been a subject of intense experimental, theoretical, and numerical studies over the last half a century. Yet, there does not exist a satisfactory phenomenological framework that captures the rich variety of experimental observations, physical properties, and characteristic features, at the same level of detail as incompressible turbulence in conventional viscous fluids. Here we present such a phenomenology that captures in simple terms many known features and regimes of quantum turbulence, in both the limit of zero temperature and the temperature range of two-fluid behavior. Quantum turbulence—the stochastic motion of quantum fluids such as ⁴He and ³He-B, which display pure superfluidity at zero temperature and two-fluid behavior at finite but low temperatures—has been a subject of intense experimental, theoretical, and numerical studies over the last half a century. Yet, there does not exist a satisfactory phenomenological framework that captures the rich variety of experimental observations, physical properties, and characteristic features, at the same level of detail as incompressible turbulence in conventional viscous fluids. Here we present such a phenomenology that captures in simple terms many known features and regimes of quantum turbulence, in both the limit of zero temperature and the temperature range of two-fluid behavior. Quantum turbulence-the stochastic motion of quantum fluids such as 4He and 3He-B, which display pure superfluidity at zero temperature and two-fluid behavior at finite but low temperatures-has been a subject of intense experimental, theoretical, and numerical studies over the last half a century. Yet, there does not exist a satisfactory phenomenological framework that captures the rich variety of experimental observations, physical properties, and characteristic features, at the same level of detail as incompressible turbulence in conventional viscous fluids. Here we present such a phenomenology that captures in simple terms many known features and regimes of quantum turbulence, in both the limit of zero temperature and the temperature range of two-fluid behavior. Quantum turbulence—the stochastic motion of quantum fluids such as 4 He and 3 He-B, which display pure superfluidity at zero temperature and two-fluid behavior at finite but low temperatures—has been a subject of intense experimental, theoretical, and numerical studies over the last half a century. Yet, there does not exist a satisfactory phenomenological framework that captures the rich variety of experimental observations, physical properties, and characteristic features, at the same level of detail as incompressible turbulence in conventional viscous fluids. Here we present such a phenomenology that captures in simple terms many known features and regimes of quantum turbulence, in both the limit of zero temperature and the temperature range of two-fluid behavior. Quantum turbulence-the stochastic motion of quantum fluids such as 4He and 3He-B, which display pure superfluidity at zero temperature and two-fluid behavior at finite but low temperatures-has been a subject of intense experimental, theoretical, and numerical studies over the last half a century. Yet, there does not exist a satisfactory phenomenological framework that captures the rich variety of experimental observations, physical properties, and characteristic features, at the same level of detail as incompressible turbulence in conventional viscous fluids. Here we present such a phenomenology that captures in simple terms many known features and regimes of quantum turbulence, in both the limit of zero temperature and the temperature range of two-fluid behavior.Quantum turbulence-the stochastic motion of quantum fluids such as 4He and 3He-B, which display pure superfluidity at zero temperature and two-fluid behavior at finite but low temperatures-has been a subject of intense experimental, theoretical, and numerical studies over the last half a century. Yet, there does not exist a satisfactory phenomenological framework that captures the rich variety of experimental observations, physical properties, and characteristic features, at the same level of detail as incompressible turbulence in conventional viscous fluids. Here we present such a phenomenology that captures in simple terms many known features and regimes of quantum turbulence, in both the limit of zero temperature and the temperature range of two-fluid behavior. |
| Author | Sreenivasan, Katepalli R. Skrbek, Ladislav Schmoranzer, David Midlik, Šimon |
| Author_xml | – sequence: 1 givenname: Ladislav surname: Skrbek fullname: Skrbek, Ladislav – sequence: 2 givenname: David surname: Schmoranzer fullname: Schmoranzer, David – sequence: 3 givenname: Šimon surname: Midlik fullname: Midlik, Šimon – sequence: 4 givenname: Katepalli R. surname: Sreenivasan fullname: Sreenivasan, Katepalli R. |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/33790051$$D View this record in MEDLINE/PubMed |
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| Copyright | Copyright © 2021 the Author(s). Published by PNAS. Copyright National Academy of Sciences Apr 20, 2021 Copyright © 2021 the Author(s). Published by PNAS. 2021 |
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| Keywords | pure superfluid state two-fluid state Vinen and Kolmogorov turbulence quantum turbulence |
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| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 content type line 23 Author contributions: L.S. and D.S. designed research; D.S. and Š.M. performed research; D.S. and Š.M. analyzed data; and L.S. and K.R.S. wrote the paper. Edited by David A. Weitz, Harvard University, Cambridge, MA, and approved February 22, 2021 (received for review December 4, 2020) |
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| Snippet | Quantum turbulence—the stochastic motion of quantum fluids such as ⁴He and ³He-B, which display pure superfluidity at zero temperature and two-fluid behavior... Quantum turbulence—the stochastic motion of quantum fluids such as 4 He and 3 He-B, which display pure superfluidity at zero temperature and two-fluid behavior... Quantum turbulence-the stochastic motion of quantum fluids such as He and He-B, which display pure superfluidity at zero temperature and two-fluid behavior at... Quantum turbulence-the stochastic motion of quantum fluids such as 4He and 3He-B, which display pure superfluidity at zero temperature and two-fluid behavior... |
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| SubjectTerms | Computational fluid dynamics Fluid flow Helium Incompressible flow Liquid helium Low temperature PERSPECTIVE Phenomenology Physical properties Physical Sciences Quantum turbulence Superfluidity Temperature Turbulence Viscous fluids |
| Title | Phenomenology of quantum turbulence in superfluid helium |
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