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Electrostatic plasma turbulence Part 1. Turbulent plasma diffusion across a magnetic field

Published online by Cambridge University Press:  13 March 2009

H. C. Barr
Affiliation:
School of Mathematics and Computer Science, University College of North Wales, Bangor LL57 2UW, Gwynedd
T. J. M. Boyd
Affiliation:
School of Mathematics and Computer Science, University College of North Wales, Bangor LL57 2UW, Gwynedd

Abstract

The turbulent diffusion of plasma across a magnetic field is studied theoretically using a three-dimensional model which includes the full dynamics of the diffusing particles and which is valid for arbitrary magnetic field strengths. The theory is confined to perpendicular turbulence, i.e. where the build-up of the fluctuations lies primarily in the plane perpendicular to the magnetic field (although it is more generally applicable). A single expression for the diffusion is derived in terms of the fluctuation spectrum, particle energy, the dispersion characteristics of the excited modes and the magnetic field. Earlier results for equilibrium plasmas are confirmed. We demonstrate the continuous transition from anomalous (1/B) diffusion in regimes of low fluctuation levels (or strong magnetic fields) to classical (1/B2) diffusion in regimes where the fluctuation level destroys the coherence sustained by the magnetic field. In this latter regime, the particles behave as if unmagnetized except for a turbulent drift which appears in the presence of anisotropic spectra.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1976

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References

REFERENCES

Bohm, D. 1949 The Characteristics of Electrical Discharges in Magnetic Fields. McGraw-Hill.Google Scholar
Cook, I., & Taylor, J.B. 1973 J. Plasma Phys. 9, 131.CrossRefGoogle Scholar
Dawson, J. M., Okuda, H., & Carlile, R. N. 1971 Phys. Rev. Lett. 27, 491.Google Scholar
Dupree, T. H. 1966 Phys. Fluids, 9, 1773.Google Scholar
Misguich, J. H., & Balescu, R. 1975 J. Plasma Phys. 13, 385.CrossRefGoogle Scholar
Montgomery, D., Liu, C. S., & Vahala, G. 1972 Phys. Fluids, 15, 815.Google Scholar
Okuda, H., & Dawson, J. M. 1973 Phys. Fluids, 16, 408.CrossRefGoogle Scholar
Taylor, J. B., & McNamara, B. 1971 Phys. Fluids, 14, 1492.CrossRefGoogle Scholar
Weinstock, J. 1969 Phys. Fluids, 12, 1045.CrossRefGoogle Scholar
Weinstock, J. 1970 Phys. Fluids, 13, 2308.Google Scholar
Weinstock, J., & Williams, R. H. 1971 Phys. Fluids, 14, 1472.Google Scholar