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Experimental Study of the Nonlinear Second Sound Wave Interaction in Superfluid 4He

  • Universal Features in Turbulence: From Quantum to Cosmological Scales
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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.

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References

  1. Kolmogorov A.N. (1941). Doklady Akad. Nauk. S.S.S.R. 30: 299

    Google Scholar 

  2. Landau L.D., Lifshits E.M. (1987). Fluid Mechanics, 2nd ed., Pergamon Press, Oxford

    MATH  Google Scholar 

  3. Zakharov V.E., L’vov V.S., Fal’kovich G. (1992). Kolmogorov Spectra of Turbulence, Vol. 1. Springer-Verlag, Berlin

    Google Scholar 

  4. Henry E., Alstrom P., Levinsen M.T. (2000). Europhys. Lett. 52:27

    Article  ADS  Google Scholar 

  5. Brazhnikov M.Y., Kolmakov G.V., Levchenko A.A., Mezhov-Deglin L.P. (2001). JETP Lett. 73(8): 398

    Article  ADS  Google Scholar 

  6. Niemela J.J., Skrbek L., Sreenivasan K.R., Donnelly R.J. (2000). Nature 404(8): 837

    Article  ADS  Google Scholar 

  7. Zocchi G., Tabeling P., Maurere J., Willaime H. (1994). Phys. Rev. E 50: 3693

    Article  ADS  Google Scholar 

  8. Tsoi V.S. (2003). CEJP 1: 72

    Google Scholar 

  9. Musher S.L., Rubenchik A.M., Zakharov V.E. (1995). Phys. Rep. 252:178

    Article  ADS  Google Scholar 

  10. S. Galtier, S. V. Nazarenko, A. C. Newell, and A. Poucket, Astroph. J. 564, L49, Part. 2 (2002).

  11. Borisenko I.Yu., Efimov V.B., Mezhov-Deglin L.P. (1988). Low Temp. Phys. 14: 619

    Google Scholar 

  12. Brazhnikov M.Yu., Levchenko A.A., Mezhov-Deglin L.P. (2002). Instrum. Exp. Tech. 45: 758

    Article  Google Scholar 

  13. Zakharov V.E., Filonenko N.N. (1967). J. Appl. Mech. Tech. Phys. 4: 506

    Google Scholar 

  14. Khalatnikov I.M. (1965). An Introduction to the Theory of Superfluidity. Benjamin, New York

    Google Scholar 

  15. Balkovsky E., Falkovch G., Kolokolov I., Lebedev V.V. (1997). Phys. Rev. Lett. 78: 1452

    Article  ADS  Google Scholar 

  16. Rudenko O.V., Soluyan S.I. (1977). Theoretical Foundations of Nonlinear Acoustics. Plenum, New York

    MATH  Google Scholar 

  17. 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

    Article  Google Scholar 

  18. 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

    Article  Google Scholar 

  19. Efimov V.B., Kolmakov G.V., Kuliev A.S., Mezhov-Deglin L.P. (1998). Low Temp. Phys. 24: 81

    Article  ADS  Google Scholar 

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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

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  • DOI: https://doi.org/10.1007/s10909-006-9236-2

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