Dynamical scaling law in the development of drift wave turbulence

Journal Article · Thu May 01 04:00:00 EDT 1997 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.55.5575· OSTI ID:503666

Watanabe, T; Fujisaka, H ^[1]; Iwayama, T ^[2]

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1. Department of Physics, Kyushu University 33, Fukuoka 812-81 (Japan)
2. Department of Control Engineering and Science, Faculty of Computer Science and Systems Engineering, Kyushu Institute of Technology, Iizuka 820 (Japan)

The Charney-Hasegawa-Mima equation, with random forcing at the narrow band wave-number region, which is set to be slightly larger than the characteristic wave number {lambda}, evaluating the inverse ion Larmor radius in plasma, is numerically studied. It is shown that the Fourier spectrum of the potential vorticity fluctuation in the development of turbulence with an initial condition of quiescent state obeys a dynamic scaling law for k{lt}{lambda}. The dimensional analysis with the assumption that the energy transfer rate {epsilon} in the inverse cascade is constant with time leads to the scaling form S(k,t) ={lambda}{sup 1/2}{epsilon}{sup 5/4}t{sup 7/4}F{bold (}k/{bar k}(t){bold )}[{bar k}(t){approximately}{lambda}{sup 3/4}{epsilon}{sup {minus}1/8}t{sup {minus}3/8}] with a scaling function F(x), which turns out to be in good agreement with numerical experiments. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 503666
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 5 Vol. 55; ISSN 1063-651X; ISSN PLEEE8
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
DRIFT INSTABILITY
ENERGY TRANSFER
LARMOR RADIUS
PLASMA
PLASMA WAVES
SCALING LAWS
SPECTRAL DENSITY
TURBULENCE