Kolmogorov Spectrum of Quantum Turbulence

Details Kolmogorov Spectrum of Quantum Turbulence Kolmogorov Spectrum of Quantum Turbulence

2005-08-26

arxiv.org/abs/cond-mat/0508624v2

J. Phys. Soc. Jpn 74, 3248 (2005)

Physics

Condensed Matter

Other Condensed Matter

14pages, 24 figures and 1 table. Appeared in Journal of the Physical Society of Japan, Vol.74, No.12, p.3248-3258

Scientific paper

10.1143/JPSJ.74.3248

There is a growing interest in the relation between classical turbulence and quantum turbulence. Classical turbulence arises from complicated dynamics of eddies in a classical fluid. In contrast, quantum turbulence consists of a tangle of stable topological defects called quantized vortices, and thus quantum turbulence provides a simpler prototype of turbulence than classical turbulence. In this paper, we investigate the dynamics and statistics of quantized vortices in quantum turbulence by numerically solving a modified Gross-Pitaevskii equation. First, to make decaying turbulence, we introduce a dissipation term that works only at scales below the healing length. Second, to obtain steady turbulence through the balance between injection and decay, we add energy injection at large scales. The energy spectrum is quantitatively consistent with the Kolmogorov law in both decaying and steady turbulence. Consequently, this is the first study that confirms the inertial range of quantum turbulence.

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