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
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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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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 -