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A variational principle in relativistic magnetofluid dynamics

Published online by Cambridge University Press:  13 March 2009

I. Merches
I. Merches
Affiliation:
Faculty of Physics, Alexandru Ioan Cuza University, Iasi, Romania
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Abstract

The definition of the generalized antipotential four-vector makes it possible to give a relativistically covariant variational formulation in the dynamics of ideal charged fluids. A special relativistically covariant form of Maxwell's equation is given. The antipotential four-vector does not explicitly appear in the Lagrangian density. The derivation of the equation of motion of a single charged particle is given, to illustrate the theory.

Type
Research Article
Information
Journal of Plasma Physics , Volume 21 , Issue 3 , June 1979 , pp. 511 - 517
Copyright
Copyright © Cambridge University Press 1979

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References

REFERENCES

Calkin, M. G. 1963 Can. J. Phys. 41, 2241.Google Scholar
Chau-Chin-Wei, 1959 Phys. Rev. 113, 6.Google Scholar
Dougherty, J. P. 1970 J. Plasma Phys. 4, 761.CrossRefGoogle Scholar
Dougherty, J. P. 1974 J. Plasma Phys. 11, 331.CrossRefGoogle Scholar
Dragos, L. 1975 Magnetofluid Dyamics. Editura Academiei Române & Abacus Press.Google Scholar
Landau, L. D.& Lifshttz, E. M. 1962 The Classical Theory of Fields (2nd ed). Pergamon.Google Scholar
Merches, I. 1969 Phys. Fluids, 12, 2225.CrossRefGoogle Scholar
Merches, I. 1976 J. Plasma Phys. 15, 49.CrossRefGoogle Scholar
Penfield, P.& Haus, H. A. 1966 Phys. Fluids, 9, 1195.CrossRefGoogle Scholar