Self-Organization of Vortex Length Distribution in Quantum Turbulence: An Approach from the Barabasi-Albert Model

Abstract

The energy spectrum of quantum turbulence obeys Kolmogorov's law. The vortex length distribution (VLD), meaning the size distribution of the vortices, in Kolmogorov quantum turbulence also obeys a power law. We propose here an innovative idea to study the origin of the power law of the VLD. The nature of quantized vortices allows one to describe the decay of quantum turbulence with a simple model that is similar to the Barabasi-Albert model of large networks. We show here that such a model can reproduce the power law of the VLD well.

arXiv comment4 pages including 5 figures

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Cited by in corpus (5)

• Quantum hydrodynamics
• Quantum Turbulence in a Trapped Bose-Einstein Condensate
• Quantum turbulence: From superfluid helium to atomic Bose-Einstein condensates
• Reconnections of quantized vortex rings in superfluid ${}^4$He at very low temperatures
• Statistical laws and self-similarity of vortex rings emitted from a localized vortex tangle in superfluid ${}^4$He