Home > Research > Publications & Outputs > Nonlinear second sound waves in superfluid heli...

Associated organisational unit

Electronic data

  • bifurcation5PostPrint

    Rights statement: Postprint, OK on institutional website Electronic version of this article published as Nonlinear second sound waves in superfluid helium: instabilities, turbulence and rogue waves in International Journal of Bifurcation and Chaos, 22, 10, 2012, 125024210.1142/S0218127412502422 © copyright World Scientific Publishing Company http://www.worldscientific.com/doi/abs/10.1142/S0218127412502422

    Accepted author manuscript, 994 KB, PDF document

Links

Text available via DOI:

View graph of relations

Nonlinear second sound waves in superfluid helium: instabilities, turbulence and rogue waves

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Published

Standard

Nonlinear second sound waves in superfluid helium: instabilities, turbulence and rogue waves. / Ganshin, Andrey N.; Efimov, Victor B.; Kolmakov, German V. et al.
In: International Journal of Bifurcation and Chaos, Vol. 22, No. 10, 1250242, 10.2012, p. -.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Ganshin, AN, Efimov, VB, Kolmakov, GV, Mezhov-Deglin, LP & McClintock, PVE 2012, 'Nonlinear second sound waves in superfluid helium: instabilities, turbulence and rogue waves', International Journal of Bifurcation and Chaos, vol. 22, no. 10, 1250242, pp. -. https://doi.org/10.1142/S0218127412502422

APA

Ganshin, A. N., Efimov, V. B., Kolmakov, G. V., Mezhov-Deglin, L. P., & McClintock, P. V. E. (2012). Nonlinear second sound waves in superfluid helium: instabilities, turbulence and rogue waves. International Journal of Bifurcation and Chaos, 22(10), -. Article 1250242. https://doi.org/10.1142/S0218127412502422

Vancouver

Ganshin AN, Efimov VB, Kolmakov GV, Mezhov-Deglin LP, McClintock PVE. Nonlinear second sound waves in superfluid helium: instabilities, turbulence and rogue waves. International Journal of Bifurcation and Chaos. 2012 Oct;22(10):-. 1250242. doi: 10.1142/S0218127412502422

Author

Ganshin, Andrey N. ; Efimov, Victor B. ; Kolmakov, German V. et al. / Nonlinear second sound waves in superfluid helium: instabilities, turbulence and rogue waves. In: International Journal of Bifurcation and Chaos. 2012 ; Vol. 22, No. 10. pp. -.

Bibtex

@article{191262862ebf49d793f8cffff51bbb7f,
title = "Nonlinear second sound waves in superfluid helium: instabilities, turbulence and rogue waves",
abstract = "Recent work on nonlinear second sound wave propagation and acoustic turbulence in superfluid He-4 is reviewed. Observations of direct and inverse turbulent energy cascades are described. The direct cascade arises due to the strong nonlinear dependence of the second sound wave velocity on its amplitude. The flux of energy injected at the driving frequency is transformed via successively higher harmonics until it is eventually attenuated by viscous dissipation at the short-wavelength edge of the spectrum. The onset of the inverse cascade occurs above a critical driving energy density, and it is accompanied by giant waves that constitute an acoustic analogue of the rogue waves that occasionally appear on the surface of the ocean. The theory of the phenomena is outlined and shown to be in good agreement with the experiments.",
keywords = "Bifurcation, nonlinear waves , wave turbulence , second sound , superfluid helium ",
author = "Ganshin, {Andrey N.} and Efimov, {Victor B.} and Kolmakov, {German V.} and Mezhov-Deglin, {Leonid P.} and McClintock, {Peter V. E.}",
note = "Electronic version of this article published as Nonlinear second sound waves in superfluid helium: instabilities, turbulence and rogue waves in International Journal of Bifurcation and Chaos, 22, 10, 2012, 125024210.1142/S0218127412502422 {\textcopyright} copyright World Scientific Publishing Company http://www.worldscientific.com/doi/abs/10.1142/S0218127412502422",
year = "2012",
month = oct,
doi = "10.1142/S0218127412502422",
language = "English",
volume = "22",
pages = "--",
journal = "International Journal of Bifurcation and Chaos",
issn = "0218-1274",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "10",

}

RIS

TY - JOUR

T1 - Nonlinear second sound waves in superfluid helium: instabilities, turbulence and rogue waves

AU - Ganshin, Andrey N.

AU - Efimov, Victor B.

AU - Kolmakov, German V.

AU - Mezhov-Deglin, Leonid P.

AU - McClintock, Peter V. E.

N1 - Electronic version of this article published as Nonlinear second sound waves in superfluid helium: instabilities, turbulence and rogue waves in International Journal of Bifurcation and Chaos, 22, 10, 2012, 125024210.1142/S0218127412502422 © copyright World Scientific Publishing Company http://www.worldscientific.com/doi/abs/10.1142/S0218127412502422

PY - 2012/10

Y1 - 2012/10

N2 - Recent work on nonlinear second sound wave propagation and acoustic turbulence in superfluid He-4 is reviewed. Observations of direct and inverse turbulent energy cascades are described. The direct cascade arises due to the strong nonlinear dependence of the second sound wave velocity on its amplitude. The flux of energy injected at the driving frequency is transformed via successively higher harmonics until it is eventually attenuated by viscous dissipation at the short-wavelength edge of the spectrum. The onset of the inverse cascade occurs above a critical driving energy density, and it is accompanied by giant waves that constitute an acoustic analogue of the rogue waves that occasionally appear on the surface of the ocean. The theory of the phenomena is outlined and shown to be in good agreement with the experiments.

AB - Recent work on nonlinear second sound wave propagation and acoustic turbulence in superfluid He-4 is reviewed. Observations of direct and inverse turbulent energy cascades are described. The direct cascade arises due to the strong nonlinear dependence of the second sound wave velocity on its amplitude. The flux of energy injected at the driving frequency is transformed via successively higher harmonics until it is eventually attenuated by viscous dissipation at the short-wavelength edge of the spectrum. The onset of the inverse cascade occurs above a critical driving energy density, and it is accompanied by giant waves that constitute an acoustic analogue of the rogue waves that occasionally appear on the surface of the ocean. The theory of the phenomena is outlined and shown to be in good agreement with the experiments.

KW - Bifurcation

KW - nonlinear waves

KW - wave turbulence

KW - second sound

KW - superfluid helium

U2 - 10.1142/S0218127412502422

DO - 10.1142/S0218127412502422

M3 - Journal article

VL - 22

SP - -

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

SN - 0218-1274

IS - 10

M1 - 1250242

ER -