Abstract
A study by computer simulation is reported of the behavior of a quantized vortex line at a very low temperature when there is continuous excitation of Kelvin waves with a low wave number. The energy of Kelvin wave is dissipated only at very high wave numbers. It was shown in previous report (Vinen et al. 2003) that nonlinear coupling leads to a net flow of energy to higher wave numbers and to the development of a simple spectrum of Kelvin waves. These results are likely to be relevant to the decay of turbulence in superfluid 4He at very low temperatures. To identify the wave number dependence of this spectrum more precisely, we improve the excitation and dissipation method. In this method, the operations of both excitation and dissipation are done in the Fourier space as contrasted with the previous method, whose operations were performed in the real space. The present results are consistent with our previous results not only on the wave number dependence but also on the absolute value. This means the spectrum that we have got is robust one.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Davis, S.L, Hendry, P.C. & McClintock, P.V.E. 2000 Decay of quantized vorticity in superfluid 4He at mK temperatures. Physica B 280, 43.
Donnelly, R.J. 1991 Quantized Vortices in Helium II (Cambridge University Press).
Hall, H. E. 1958 An Experimental and Theoretical Study of Torsional Oscillations in Uniformly Rotating Liquid Helium II. , Proc. R. Soc. London, Ser. A 245, 546.
Hasimoto, H. 1972 A soliton on a vortex filament. J. Fluid Mech. 51 477.
Kozik, E. V. & Svistunov, B. 2004 Kelvin-Wave Cascade and Decay of superfluid Turbulence. Phys. Rev. Lett. 92, 035301, and Scale Separation Scheme for Simulating Superfluid Turbulence: Kelvin-Wave Cascade. cond-mat/0408241.
Samuels, D.C., & Donnelly, R.J. 1990 Sideband Instability and Recurrence of Kelvin Waves on Vortex Cores. Phys. Rev. Lett. 64, 1385.
Schwarz, K. W. 1985 Three-dimensional vortex dynamics in superfluid 4He: Line-line and line-boundary interactions Phys. Rev. B 61, 1410.
Tsubota, M., Araki, T. & Nemirovskii, S.K. 2000 Dynamics of vortex tangle without mutual friction in superfluid 4He. Phys. Rev. B 62, 11751.
Vinen, W.F. 2001 Classical Character of Turbulence in a Quantum Liquid. Phys. Rev. B 61,1410.
Vinen, W.F., Tsubota, M. & Mitani, A. 2003 Kelvin-Wave Cascade on a Vortex in Superfluid 4He at a Very Low Temperature. Phys. Rev. Lett. 91, 135301.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer
About this paper
Cite this paper
Mitani, A., Tsubota, M., Vinen, W.F. (2006). DECAY OF QUANTUM TURBULENCE BY KELVINWAVE CASCADE. In: KIDA, S. (eds) IUTAM Symposium on Elementary Vortices and Coherent Structures: Significance in Turbulence Dynamics. Fluid Mechanics and Its Applications, vol 79. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4181-0_39
Download citation
DOI: https://doi.org/10.1007/1-4020-4181-0_39
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-4180-8
Online ISBN: 978-1-4020-4181-5
eBook Packages: EngineeringEngineering (R0)