Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-20T03:23:52.405Z Has data issue: false hasContentIssue false

Spectral laws for energy and enstrophy cascades in electrostatic turbulence

Published online by Cambridge University Press:  13 March 2009

Bhimsen K. Shivamoggi
Affiliation:
Department of Mathematics, University of Central Florida, Orlando, Florida 32816, U.S.A.

Abstract

In this paper we develop spectral laws for the small- and large-wavenumber regimes of the energy and enstrophy cascades in electrostatic turbulence and discuss how these spectra differ, owing to compressibility effects, from those for two-dimensional hydrodynamic turbulence. We also show that the compressibility effects on the scaling laws can be described as intermittency corrections formulated according to the log-normal model of Obukhov and Kolmogorov.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1989

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Fischer, B. & Kramer, M. 1989 Plasma Phys. Contr. Fusion 31, 453.CrossRefGoogle Scholar
Fyfe, D. & Montgomery, D. 1979 Phys. Fluids, 22, 246.CrossRefGoogle Scholar
Hasegawa, A., Maclennan, C. G. & Kodama, Y. 1979 Phys. Fluids, 22, 2122.CrossRefGoogle Scholar
Hasegawa, A. & Mima, K. 1978 Phys. Fluids, 21, 87.CrossRefGoogle Scholar
Kolmogorov, A. N. 1962 J. Fluid Mech. 13, 82.CrossRefGoogle Scholar
Mandelbrot, B. 1976 Turbulence and Navier-Stokes Equations (ed. Temam, R.). Lecture Notes in Mathematics, vol. 565, p. 121. Springer.CrossRefGoogle Scholar
Mazzucato, E. 1976 Phys. Rev. Lett. 36, 792.CrossRefGoogle Scholar
Nozaki, K. 1981 Phys. Rev. Lett. 46, 184.CrossRefGoogle Scholar
Nozaki, K., Taniuti, T. & Watanabe, K. 1979 J. Phys. Soc. Jpn, 46, 983.CrossRefGoogle Scholar
Obukhov, A.M. 1962 J. Fluid Mech. 13, 77.CrossRefGoogle Scholar
Slusher, R. E. & Surko, C. M. 1976 Phys. Rev. Lett. 37, 1747.Google Scholar