Kelvin-wave cascades in turbulent superfluid He⁴ at very low temperatures

William Vinen, M Tsubota, A Mitani

Research output: Contribution to journalArticle


There has been much interest recently in the mechanism by which superfluid (quantum) turbulence can decay in liquid He-4 at very low temperatures, where mutual friction has a negligible effect. As in classical turbulence, energy must probably flow from larger to smaller length scales, and it has been suggested that on the smallest scales the relevant motion is a Kelvin wave on a quantized vortex with wave number greater than the inverse vortex spacing. By considering the behaviour of a simple model it is shown by computer simulations how energy can flow to shorter length scales (higher wave numbers) in a system of Kelvin waves, and how this process can lead to a remarkably simple Kelvin-wave energy spectrum. A discussion is included of the relevance of this model to the decay of superfluid grid turbulence at a very low temperature.
Original languageEnglish
Pages (from-to)457-462
Number of pages6
JournalJournal of Low Temperature Physics
Publication statusPublished - 1 Jan 2004


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