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Diffusion coefficient and Kolmogorov entropy of magnetic field lines

Published online by Cambridge University Press:  13 March 2009

Gaetano Zimbardo ,
Pierluigi Veltri  and
Francesco Malara
Gaetano Zimbardo
Affiliation:
Dipartimento di Fisica, Università della Calabria, 87100 Cosenza, Italy
Pierluigi Veltri
Affiliation:
Dipartimento di Fisica, Università della Calabria, 87100 Cosenza, Italy
Francesco Malara
Affiliation:
Dipartimento di Fisica, Università della Calabria, 87100 Cosenza, Italy
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Abstract

A diffusion equation for magnetic field lines of force in a turbulent magnetic field, which describes both the random walk of a single field line and how two nearby lines separate from each other, has been obtained using standard statistical techniques. Starting from such an equation, a closed set of equations for the moments may be obtained, in general, with suitable assumptions. From such a set of equations the Kolmogorov entropy may be explicitly calculated. The results have been applied to the most interesting examples of magnetic field geometries.

Type
Research Article
Information
Journal of Plasma Physics , Volume 32 , Issue 1 , August 1984 , pp. 141 - 158
Copyright
Copyright © Cambridge University Press 1984

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References

REFERENCES

Brissaud, A. & Frisch, U. 1974 J. Math. Phys. 15, 524.CrossRefGoogle Scholar
Boozer, A. H. 1982 Phys. Fluids, 25, 520.CrossRefGoogle Scholar
Bourret, R. 1962 Nuovo Cimento, 26, 1.CrossRefGoogle Scholar
Chiuderi, C., Giachetti, R. & Van Hoven, G. 1977 Solar Phys. 54, 107.CrossRefGoogle Scholar
Filolenko, M. N., Sagdeev, R. Z. & Zaslavsky, G. M. 1967 Nucl. Fusion, 7, 253.CrossRefGoogle Scholar
Jokipii, J. R. & Parker, E. N. 1969 a Ap. J. 155, 777.CrossRefGoogle Scholar
Jokipii, J. R. & Parker, E. N. 1969 b Ap. J. 155, 799.CrossRefGoogle Scholar
Jokipii, J. R. 1973 Ap. J. 183, 1029.CrossRefGoogle Scholar
Laval, G. 1981 Conference sur la turbulence e la stochasticité dans les plasmas, Cargese, p. 18.Google Scholar
Rechester, A. B. & Rosenbluth, M. N. 1978 Phys. Rev. Lett. 40, 38.CrossRefGoogle Scholar
Rechester, A. B., Rosenbluth, M. N. & White, R. B. 1979 Phys. Rev. Lett. 42, 1247.CrossRefGoogle Scholar
Rosenbluth, M. N., Sagdeev, R. Z., Taylor, G. B. & Zaslavsky, G. M. 1966 Nucl. Fusion, 6, 297.CrossRefGoogle Scholar
Zaslavsky, G. M. & Chirikov, B. V. 1972 Soviet Phys. Uspekhi, 14, 540.Google Scholar