We report preliminary results of investigations of the nonlinear second sound wave interaction in a high-quality resonator filled with superfluid 4He. The anomalously large nonlinear coefficient of second sound allows us to observe the formation of higher harmonics while pumping the resonator at a resonant frequency and, in this manner, to study wave energy transfer from the low-frequency domain to the high-frequency domain over a wide frequency range. The observed nonequilibrium stationary wave distribution of amplitudes A f for multiple harmonics over wave frequency f may be described as \(A_f = {\rm const} \times f^{-s}\), where s ≥ 1.5.
Similar content being viewed by others
References
Kolmogorov A.N. (1941). Doklady Akad. Nauk. S.S.S.R. 30: 299
Landau L.D., Lifshits E.M. (1987). Fluid Mechanics, 2nd ed., Pergamon Press, Oxford
Zakharov V.E., L’vov V.S., Fal’kovich G. (1992). Kolmogorov Spectra of Turbulence, Vol. 1. Springer-Verlag, Berlin
Henry E., Alstrom P., Levinsen M.T. (2000). Europhys. Lett. 52:27
Brazhnikov M.Y., Kolmakov G.V., Levchenko A.A., Mezhov-Deglin L.P. (2001). JETP Lett. 73(8): 398
Niemela J.J., Skrbek L., Sreenivasan K.R., Donnelly R.J. (2000). Nature 404(8): 837
Zocchi G., Tabeling P., Maurere J., Willaime H. (1994). Phys. Rev. E 50: 3693
Tsoi V.S. (2003). CEJP 1: 72
Musher S.L., Rubenchik A.M., Zakharov V.E. (1995). Phys. Rep. 252:178
S. Galtier, S. V. Nazarenko, A. C. Newell, and A. Poucket, Astroph. J. 564, L49, Part. 2 (2002).
Borisenko I.Yu., Efimov V.B., Mezhov-Deglin L.P. (1988). Low Temp. Phys. 14: 619
Brazhnikov M.Yu., Levchenko A.A., Mezhov-Deglin L.P. (2002). Instrum. Exp. Tech. 45: 758
Zakharov V.E., Filonenko N.N. (1967). J. Appl. Mech. Tech. Phys. 4: 506
Khalatnikov I.M. (1965). An Introduction to the Theory of Superfluidity. Benjamin, New York
Balkovsky E., Falkovch G., Kolokolov I., Lebedev V.V. (1997). Phys. Rev. Lett. 78: 1452
Rudenko O.V., Soluyan S.I. (1977). Theoretical Foundations of Nonlinear Acoustics. Plenum, New York
Levchenko A.A., Kolmakov G.V., Mezhov-Deglin L.P., Mikhailov M.G., Trusov A.B. (2000). J. Low Temp. Phys. 119(3–4): 343
Giltrow M., Boylett M.J., Lawson N.S., Hammiche A., Griffiths O.J., Wigmore J.K., Efimov V.B. (2003). Meas. Sci. Technol. 14: N69
Efimov V.B., Kolmakov G.V., Kuliev A.S., Mezhov-Deglin L.P. (1998). Low Temp. Phys. 24: 81
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Efimov, V.B., Ganshin, A.N., McClintock, P.V.E. et al. Experimental Study of the Nonlinear Second Sound Wave Interaction in Superfluid 4He. J Low Temp Phys 145, 155–164 (2006). https://doi.org/10.1007/s10909-006-9236-2
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10909-006-9236-2