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

Ganshin, Andrey N. and Efimov, Victor B. and Kolmakov, German V. and Mezhov-Deglin, Leonid P. and McClintock, Peter V. E. (2012) Nonlinear second sound waves in superfluid helium: instabilities, turbulence and rogue waves. International Journal of Bifurcation and Chaos, 22 (10). -. ISSN 0218-1274

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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.

Item Type:
Journal Article
Journal or Publication Title:
International Journal of Bifurcation and Chaos
Additional Information:
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
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2611
Subjects:
ID Code:
61489
Deposited By:
Deposited On:
02 Jan 2013 11:54
Refereed?:
Yes
Published?:
Published
Last Modified:
02 Jul 2020 00:58