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Abstracts
O3.6
Quantum turbulence without energy cascade
Yuri A. Sergeev(1), Carlo F. Barenghi(2), Andrew W. Baggaley(2)
1) Newcastle University, Joint Quantum Centre (JQC) Durham-Newcastle and
School of Mechanical and Systems Engineering, Newcastle upon Tyne NE1 7RU,
United Kingdom
2) Newcastle University, Joint Quantum Centre (JQC) Durham-Newcastle and
School of Mathematics and Statistics, Newcastle upon Tyne NE1 7RU, United
Kingdom
Earlier the existence has been established of two regimes of quantum turbulence:
the quasiclassical regime associated, at hydrodynamic scales, with the Richardson
cascade and the Kolmogorov energy spectrum, and the ultraquantum (Vinen)
regime without the classical energy spectrum and cascade. This raises the question
whether Vinen turbulence is a new form of disorder, or there are mechanisms
which prevent the development of the classical cascade and the Kolmogorov
spectrum. We argue that the latter is the solution of this important puzzle.
O3.7
Statistical signature of vortex filaments: dog or tail?
Serggey Nemirovskii
Institute of Thermophysics, Lavrentyev ave, 1, 630090, Novosibirsk, Russia
The title of talk coincides with the title of the paragraph in famous book on
classical turbulence by U. Frisch. In this paragraph the author discussed the
role of statistical dynamics of vortex filaments in theory of turbulence and put
the above question. In other words, whether the main properties of turbulence
(cascade, scaling laws) are the sequence of the vortex line dynamics or the latter
have only marginal signature. The goal of my talk is to discuss which elements
of vortex dynamics would lead to main ingredients of theory of turbulence. We
discuss an exchange of energy between different scales, the possible origin of
Kolmogorov type spectra and the decay of quantum turbulence.
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