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Title: Self-organization of vortex-length distribution in quantum turbulence: An approach based on the Barabasi-Albert model

Journal Article · · Physical Review. B, Condensed Matter and Materials Physics
;  [1]
  1. Department of Physics, Osaka City University, Sumiyoshi-ku, Osaka 558-8585 (Japan)

The energy spectrum of decaying quantum turbulence at T=0 obeys Kolmogorov's law. In addition to this, recent studies revealed that the vortex-length distribution (VLD), meaning the size distribution of the vortices, in decaying Kolmogorov quantum turbulence also obeys a power law. This power-law VLD suggests that the decaying turbulence has scale-free structure in real space. Unfortunately, however, there has been no practical study that answers the following important question: why can quantum turbulence acquire a scale-free VLD? We propose here a model to study the origin of the power law of the VLD from a generic point of view. 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, which explains the scale-invariance structure of large networks. We show here that such a model can reproduce the power law of the VLD well.

OSTI ID:
20853334
Journal Information:
Physical Review. B, Condensed Matter and Materials Physics, Vol. 74, Issue 2; Other Information: DOI: 10.1103/PhysRevB.74.024526; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1098-0121
Country of Publication:
United States
Language:
English

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