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Inhomogeneous stationary states of two-dimensional magnetofluids

Published online by Cambridge University Press:  13 March 2009

Roland Calinon  and
Danilo Merlini
Roland Calinon
Affiliation:
Département de Physique, Ecole Polytechnique Fédérale de Lausanne, CH-1007 Lausanne, Switzerland
Danilo Merlini
Affiliation:
Department of Electrical Engineering, Northeastern University, Boston, MA, and Fakultät für Physik, Universität Bielefeld
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Abstract

We discuss ensemble inhomogeneous states of general two-dimensional magneto-fluids. A subclass of approximate statistical inhomogeneous states of the model equation is constructed using the principle of maximum entropy. The fields are shown to satisfy generalized nonlinear Poisson equations and some limiting cases are solved analytically. The method is then applied to a pseudo-three-dimensional model of an electromagnetic filamentation instability. The results illustrate the general role of the global constants of the motion on the nature of the statistical profiles for the fields describing the most probable states in magnetofluids.

Type
Research Article
Information
Journal of Plasma Physics , Volume 30 , Issue 1 , August 1983 , pp. 95 - 107
Copyright
Copyright © Cambridge University Press 1983

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References

REFERENCES

Albeverio, S. & Høegh-Krohn, R. 1979 Preprint.Google Scholar
Albeverio, S., Ribeiro De Faria, M. & Høegh-Krohn, R. 1979 J. Stat. Phys. 20, 585.CrossRefGoogle Scholar
Biskamp, D. & Horton, W. 1980 Phys. Lett. 75 A, 359.CrossRefGoogle Scholar
Calinon, R. & Merlini, D. 1979 J. Plasma Phys. 22, 385.CrossRefGoogle Scholar
Choquard, Ph. 1975 Research note Princeton-EPFL-Lausanne: On a class of charge ordered states in simple Coulomb system.Google Scholar
Fyfe, D. & Montgomery, D. 1978 Phys. Fluids, 21, 317.CrossRefGoogle Scholar
Hasegawa, A. & Mima, K. 1978 Phys. Fluids, 21, 87.CrossRefGoogle Scholar
Hildebrand, F. B. 1952 Methods of Applied Mathematics. Prentice Hall.Google Scholar
Lundgren, T. S. & Pointin, Y. B. 1977 J. Stat. Phys. 17, 323.CrossRefGoogle Scholar
Montgomery, D. & Fyfe, D. 1976 J. Plasma Phys. 16, 181.Google Scholar
Montgomery, D. & Liu, C. S. 1979 Phys. Fluids, 22, 866.CrossRefGoogle Scholar
Montgomery, D. & Joyce, G. 1974 Phys. Fluids, 17, 1139.CrossRefGoogle Scholar
Montgomery, D., Turner, L. & Vahala, G. 1979 J. Plasma Phys. 21, 239.CrossRefGoogle Scholar
Montgomery, D. & Vahala, G. 1979 J. Plasma Phys. 21, 71.CrossRefGoogle Scholar
Salmon, R. et al. 1976 J. Fluid Mech. 75, 691.CrossRefGoogle Scholar
Weibel, E. S. 1959 Phys. Rev. Lett. 2, 83.CrossRefGoogle Scholar
Williamson, J. H. 1977 J. Plasma Phys. 17, 85.CrossRefGoogle Scholar