V. S. L'vov, S. A. Nazarenko, “Spectrum of Kelvin-wave turbulence in superfluids”, Pis'ma v Zh. Èksper. Teoret. Fiz., 91:8 (2010), 464–470; JETP Letters, 91:8 (2010), 428

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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2010, Volume 91, Issue 8, Pages 464–470 (Mi jetpl704)

This article is cited in 78 scientific papers (total in 78 papers)

CONDENSED MATTER

Spectrum of Kelvin-wave turbulence in superfluids

V. S. L'vov^ab, S. A. Nazarenko^a

^a Mathematics Institute, Warwick University, CV4 7AL, Coventry, UK
^b Department of Chemical Physics, The Weizmann Institute of Science, 76100 Rehovot, Israel

Full-text PDF (1051 kB) Citations (78)

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Abstract: We derive a type of kinetic equation for Kelvin waves on quantized vortex filaments with random large-scale curvature, that describes step-by-step (local) energy cascade over scales caused by 4-wave interactions. Resulting new energy spectrum

E_{L N} (k) \propto k^{- 5 / 3}

$E_{\rm LN}(k)\propto k^{-5/3}$ must replace in future theory (e.g. in finding the quantum turbulence decay rate) the previously used spectrum

E_{K S} (k) \propto k^{- 7 / 5}

$E_{\rm KS}(k)\propto k^{-7/5}$ , which was recently shown to be inconsistent due to nonlocality of the 6-wave energy cascade.

Received: 09.03.2010

English version:
Journal of Experimental and Theoretical Physics Letters, 2010, Volume 91, Issue 8, Pages 428–434
DOI: https://doi.org/10.1134/S002136401008014X

Bibliographic databases:

Document Type: Article

Language: English

Citation: V. S. L'vov, S. A. Nazarenko, “Spectrum of Kelvin-wave turbulence in superfluids”, Pis'ma v Zh. Èksper. Teoret. Fiz., 91:8 (2010), 464–470; JETP Letters, 91:8 (2010), 428–434

Citation in format AMSBIB

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\issue 8

\pages 464--470

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\jour JETP Letters

\yr 2010

\vol 91

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Linking options:

https://www.mathnet.ru/eng/jetpl704

https://www.mathnet.ru/eng/jetpl/v91/i8/p464

This publication is cited in the following 78 articles:

Makoto Tsubota, J Low Temp Phys, 212:5-6 (2023), 342
G. Meletti, S. Abide, S. Viazzo, U. Harlander, Phil. Trans. R. Soc. A., 381:2246 (2023)
C. F. Barenghi, H. A. J. Middleton-Spencer, L. Galantucci, N. G. Parker, AVS Quantum Science, 5:2 (2023)
Kenichi Kasamatsu, Maki Okada, Hiromitsu Takeuchi, Phys. Rev. A, 107:1 (2023)
Luca Galantucci, Em Rickinson, Andrew W. Baggaley, Nick G. Parker, Carlo F. Barenghi, Phys. Rev. Fluids, 8:3 (2023)
M. Onorato, Y.V. Lvov, G. Dematteis, S. Chibbaro, Physics Reports, 1040 (2023), 1
David Jou, Michele Sciacca, Acta Appl Math, 184:1 (2023)
Akhilesh Kumar Verma, Sanjay Shukla, Vishwanath Shukla, Abhik Basu, Rahul Pandit, Phys. Rev. E, 108:4 (2023)
J. T. Mäkinen, S. Autti, P. J. Heikkinen, J. J. Hosio, R. Hänninen, V. S. L'vov, P. M. Walmsley, V. V. Zavjalov, V. B. Eltsov, Nat. Phys., 19:6 (2023), 898
Tanogami T., Phys. Rev. E, 105:2 (2022), 027102
Julian Amette Estrada, Marc E. Brachet, Pablo D. Mininni, Phys. Rev. A, 105:6 (2022)
Julian Amette Estrada, Marc E. Brachet, Pablo D. Mininni, AVS Quantum Science, 4:4 (2022)
Kwon W.J., Del Pace G., Xhani K., Galantucci L., Muzi Falconi A., Inguscio M., Scazza F., Roati G., Nature, 600:7887 (2021), 64+
Ricard G. Falcon E., EPL, 135:6 (2021), 64001
Tanogami T., Phys. Rev. E, 103:2 (2021), 023106
Autti S. Heikkinen P.J. Laine S.M. Makinen J.T. Thuneberg V E. Zavjalov V.V. Eltsov V.B., Phys. Rev. Res., 3:3 (2021), L032002
Skrbek L. Schmoranzer D. Midlik S. Sreenivasan K.R., Proc. Natl. Acad. Sci. U. S. A., 118:16 (2021), e2018406118
JETP Letters, 111:7 (2020), 389–391
JETP Letters, 111:10 (2020), 598–599
JETP Letters, 111:10 (2020), 600–601

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Related articles in Google Scholar: Russian articles, English articles

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