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Turbulent diffusion in two-dimensional, strongly magnetized plasmas

Published online by Cambridge University Press:  13 March 2009

H. L. Pécseli  and
T. Mikkelsen
H. L. Pécseli
Affiliation:
Association EURATOM, Risø National Laboratory, Physics Department, Risø, P.O. Box 49, DK-4000 Roskilde, Denmark
T. Mikkelsen
Affiliation:
Association EURATOM, Risø National Laboratory, Physics Department, Risø, P.O. Box 49, DK-4000 Roskilde, Denmark
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Abstract

Particle diffusion is investigated in a strictly two-dimensional collisionless guiding-centre model for a strongly magnetized plasma. An analytical expression is presented for the entire time variation of the mean square test-particle displacement in the limit of low-frequency, strongly turbulent, electric field fluctuations. The analysis relies on an explicit integral expression for the Lagrangian autocorrelation function in terms of the Eulerian wavenumber spectrum and a time-varying weight function. Bohm diffusion is discussed by means of a simple model spectrum. The analysis applies for turbulent transport associated with electrostatic convective cells, magnetostatic cells and drift wave turbulence with the assumption of local homogeneity and isotropy in two dimensions.

Type
Research Article
Information
Journal of Plasma Physics , Volume 34 , Issue 1 , August 1985 , pp. 77 - 94
Copyright
Copyright © Cambridge University Press 1985

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References

REFERENCES

Barr, H. C. & Boyd, T. J. M. 1976 J. Plasma Phys. 15, 279.Google Scholar
Batchelor, G. K. 1959 The Theory of Homogeneous Turbulence. Cambridge University Press.Google Scholar
Carslaw, H. S. & Jaeger, J. C. 1959 Conduction of Heat in Solids. Oxford University Press.Google Scholar
Chandrasekhar, S. 1943 Rev. Mod. Phys. 15, 1.Google Scholar
Chu, C., Chu, M.-S. & Ohkawa, T. 1978 Phys. Rev. Lett. 41, 653.CrossRefGoogle Scholar
Fjørtoft, R. 1953 Tellus, 5, 225.CrossRefGoogle Scholar
Harries, W. L. 1970 Phys. Fluids, 13, 1751.Google Scholar
Hay, J. S. & Pasquill, F. 1960 Adv. Geophys. 6, 345.CrossRefGoogle Scholar
Kofoed-Hansen, O. & Wandel, C. F. 1967 Risø Report No. 50.Google Scholar
Lin, A. T., Dawson, J. M. & Okuda, H. 1978 Phys. Rev. Lett. 41, 753.CrossRefGoogle Scholar
Lumley, J. L. & Panofsky, H. A. 1964 The Structure of Atmospheric Turbulence. Interscience.Google Scholar
Mikkelsen, T. 1982 Risø-R-475.Google Scholar
Mikkelsen, T., Larsen, S. E. & Pécseli, H. L. 1982 Risø-M-2327.Google Scholar
Mikkelsen, T. & Pécseli, H. L. 1978 Phys. Rev. Lett. 41, 951.CrossRefGoogle Scholar
Mikkelsen, T. & Pécseli, H. L. 1980 Phys. Lett. 77 A, 159.Google Scholar
Misguich, J., Balescu, R., Pécseli, H. L., Mikkelsen, T., Larsen, S. E. & Qiu, Xiaoming 1985 EUR-CEA-FC-1252.Google Scholar
Montgomery, D. 1975 Plasma Physics, Physique des Plasmas, p. 425. Gordon and Breach.Google Scholar
Navratil, G. A. & Post, R. S. 1979 Comm. Plasma Phys. 5, 29.Google Scholar
Okuda, H., Chu, C. & Dawson, J. M. 1975 Phys. Fluids, 18, 243.CrossRefGoogle Scholar
Okuda, H. & Dawson, J. M. 1973 Phys. Fluids, 16, 408.CrossRefGoogle Scholar
Pécseli, H. L. 1982 Physica Scripta, T/2, 147.Google Scholar
Pécseli, H. L. 1984 Invited papers of the XII Symposium on Physics of Ionized Gases Šibenik, Yugoslavia.Google Scholar
Pécseli, H. L., Mikkelsen, T. & Larsen, S. E. 1983 Plasma Phys. 25, 1173.Google Scholar
Pécseli, H. L., Rasmussen, J. J., Sugai, H. & Thomsen, K. 1984 a Plasma Phys. Contr. Fusion, 26, 1021.CrossRefGoogle Scholar
Pécseli, H. L., Rasmussen, J. J. & Thomsen, K. 1984 b Phys. Rev. Lett., 52, 2148.CrossRefGoogle Scholar
Rice, S. O. 1944 Bell System Tech. Journal, 23, 282 and 1945, Bell System Tech. Journal, 24, 46. Reprinted in Selected Papers on Noise and Stochastic Processes (ed. N. Wax), 1954. Dover.Google Scholar
Salu, Y. & Montgomery, D. 1977 Phys. Fluids, 20, 1.Google Scholar
Seyler, C. E., Salu, Y., Montgomery, D. & Knorr, G. 1975 Phys. Fluids, 18, 803.CrossRefGoogle Scholar
Shkarofsky, I. P. 1969 Proceedings of the Symposium on Turbulence of Fluids and Plasmas, p. 289. Polytechnic Press, New York.Google Scholar
Shukla, P. K., Yu, M. Y., Rahman, H. U. & Spatschek, K. H. 1984 Phys. Rep. 105, 227.Google Scholar
Sugai, H., Jovanović, D. S., Pécseli, H. L., Rasmussen, J. J. & Thomsen, K. 1984 Phys. Rev. Lett. 53, 2559.CrossRefGoogle Scholar
Sugai, H., Pécseli, H. L., Rasmussen, J. J. & Thomsen, K. 1983 Phys. Fluids, 26, 1388.Google Scholar
Taylor, G. I. 1921 Proc. London Math. Soc. A 20, 196.Google Scholar
Taylor, J. B. & McNamara, B. 1971 Phys. Fluids, 14, 1492.Google Scholar
Tchen, C. M. 1969 Proceedings of the Symposium on Turbulence in Fluids and Plasmas, p. 55. Polytechnic Press, New York.Google Scholar
Tennekes, H. & Lumley, J. L. 1972 A First Course in Turbulence. MIT Press.Google Scholar
Vahala, G. 1974 J. Plasma Phys. 11, 159.Google Scholar
Wandel, C. F. & Kofoed-Hansen, O. 1962 J. Geophys. Res. 67, 3089.Google Scholar