TY - JOUR

T1 - Collapsing vortex filaments and the spectrum of quantum turbulence

AU - Andryushchenko, V. A.

AU - Nemirovskii, S. K.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - The method of correlation functions and the method of quantum vortex configurations are used to calculate the energy spectrum of a three-dimensional velocity field that is induced by collapsing (immediately before reconnection) vortex filaments. The formulation of this problem is motivated by the idea of modeling classical turbulence by a set of chaotic quantized vortex filaments. Among the various arguments that support the idea of quasi-classical behavior for quantum turbulence, the most persuasive is probably the resulting Kolmogorov energy spectrum resembling E(k) / k-5=3 that was obtained in a number of numerical studies. Another goal is associated with an important and intensely studied theme that relates to the role of hydrodynamic collapse in the formation of turbulence spectra. Calculations have demonstrated that vortex filaments create a velocity field at the moment of contact, which has a singularity. This configuration of vortex filaments generates the spectrum E(k), which bears the resemblance to the Kolmogorov law. A possible cause for this observation is discussed, as well as the likely reasons behind any deviations. The obtained results are discussed from the perspective of both classical and quantum turbulence. Published by AIP.

AB - The method of correlation functions and the method of quantum vortex configurations are used to calculate the energy spectrum of a three-dimensional velocity field that is induced by collapsing (immediately before reconnection) vortex filaments. The formulation of this problem is motivated by the idea of modeling classical turbulence by a set of chaotic quantized vortex filaments. Among the various arguments that support the idea of quasi-classical behavior for quantum turbulence, the most persuasive is probably the resulting Kolmogorov energy spectrum resembling E(k) / k-5=3 that was obtained in a number of numerical studies. Another goal is associated with an important and intensely studied theme that relates to the role of hydrodynamic collapse in the formation of turbulence spectra. Calculations have demonstrated that vortex filaments create a velocity field at the moment of contact, which has a singularity. This configuration of vortex filaments generates the spectrum E(k), which bears the resemblance to the Kolmogorov law. A possible cause for this observation is discussed, as well as the likely reasons behind any deviations. The obtained results are discussed from the perspective of both classical and quantum turbulence. Published by AIP.

KW - SUPERFLUID TURBULENCE

KW - RECONNECTION

KW - DYNAMICS

UR - http://www.scopus.com/inward/record.url?scp=85012283661&partnerID=8YFLogxK

U2 - 10.1063/1.4975669

DO - 10.1063/1.4975669

M3 - Article

AN - SCOPUS:85012283661

VL - 43

SP - 125

EP - 132

JO - Low Temperature Physics

JF - Low Temperature Physics

SN - 1063-777X

IS - 1

ER -