1978Physical Review LettersRequires access

Spectrum Cascade by Mode Coupling in Drift-Wave Turbulence

Akira Hasegawa, Yuji Kodama

Open publisher page 54 citations

Abstract

The spectrum cascade by mode coupling in drift-wave turbulence occurs to larger and smaller values of $|\stackrel{\ensuremath{\rightarrow}}{\mathrm{k}}|$ rather than toward lower frequencies. This leads to the dual cascade process; energy cascades to smaller $k$ while enstrophy (square of the vorticity) cascades to larger $k$, analogous to two-dimensional hydrodynamic turbulence. However, the speed of energy condensation to $k=0$ is much slower than in the hydrodynamic case.

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What this paper is about

The spectrum cascade by mode coupling in drift-wave turbulence occurs to larger and smaller values of $|\stackrel{\ensuremath{\rightarrow}}{\mathrm{k}}|$ rather than toward lower frequencies. This leads to the dual cascade process; energy cascades to smaller $k$ while enstrophy (square of the vorticity) cascades to larger $k$, analogous to two-dimensional hydrodynamic turbulence. However, the speed of energy condensation to $k=0$ is much slower than in the hydrodynamic case.

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Available abstract

The spectrum cascade by mode coupling in drift-wave turbulence occurs to larger and smaller values of $|\stackrel{\ensuremath{\rightarrow}}{\mathrm{k}}|$ rather than toward lower frequencies. This leads to the dual cascade process; energy cascades to smaller $k$ while enstrophy (square of the vorticity) cascades to larger $k$, analogous to two-dimensional hydrodynamic turbulence. However, the speed of energy condensation to $k=0$ is much slower than in the hydrodynamic case.

Key concepts: Cascade, Enstrophy, Physics, Turbulence, Wave turbulence, Energy cascade, Coupling (piping), Spectrum (functional analysis)

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