Quantum turbulence

Author:

Donnelly Russell J.,Swanson Charles E.

Abstract

We present a review of quantum turbulence, that is, the turbulent motion of quantized vortex lines in superfluid helium. Our discussion concentrates on the turbulence produced by steady, uniform heat flow in a pipe, but touches on other turbulent flows as well. We have attempted to motivate the study of quantum turbulence and discuss briefly its connection with classical turbulence. We include background on the two-fluid model and mutual friction theory, examples of modern experimental techniques, and a brief survey of the phenomenology. We discuss the important recent insights that vortex dynamics has provided to the understanding of quantum turbulence, from simple scaling arguments to detailed numerical simulations. We conclude with a discussion of open questions in this field.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference96 articles.

1. Swanson, C. E. , Barenghi, C. F. & Donnelly, R. J. 1983 Rotation of a tangle of quantized vortex lines in He II.Phys. Rev. Lett. 50,190–193.

2. Jones, C. A. & Roberts, P. H. 1982 Motions in a Bose condensate IV Axisymmetric solitary waves.J. Phys. A15,2599–2619.

3. Townsend, A. A. 1961 A continuum theory of the isothermal flow of liquid helium II.J. Fluid Mech. 10,113–132.

4. Liepmann, H. W. 1952 Deflection and diffusion of a light ray passing through a boundary layer.Douglas Rep. S. M. 14397.

5. Glaberson, W. I. , Johnson, W. W. & Ostermeier, R. M. 1974 Instability of a vortex array in helium II.Phys. Rev. Lett. 33,1197–1200.

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