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Variational description of multifluid hydrodynamics: Coupling to gauge fields
Phys. Rev. D 71, 083006 – Published 11 April, 2005
DOI: https://doi.org/10.1103/PhysRevD.71.083006
Abstract
In this work we extend our previously developed formalism of Newtonian multifluid hydrodynamics to allow for coupling between the fluids and the electromagnetic and gravitational field. This is achieved within the convective variational principle by using a standard minimal coupling prescription. In addition to the conservation of total energy and momentum, we derive the conservation of canonical vorticity and helicity, which generalize the corresponding conserved quantities of uncharged fluids. We discuss the application of this formalism to electrically conducting systems, magnetohydrodynamics and superconductivity. The equations of electric conductors derived here are more general than those found in the standard description of such systems, in which the effect of entrainment is overlooked, despite the fact that it will generally be present in any conducting multiconstituent system.
Article Text
References (16)
- R. Prix, Phys. Rev. D 69, 043001 (2004).
- B. Carter and N. Chamel, Int. J. Mod. Phys. D 13, 291 (2004).
- B. Carter and N. Chamel, astro-ph/0312414.
- B. Carter and N. Chamel, astro-ph/0410660.
- M. Le Bellac and J.-M. Lévy-Leblond, Nuovo Cimento 14, 217 (1973).
- B. Carter and D. Langlois, Nucl. Phys. B 531, 478 (1998).
- B. Carter, in Vortices in Unconventional Superconductors and Superfluids, edited by R. P. Huebener, N. Schopohl, and G. Volovik (Springer Verlag, New York, 2002).
- S. Chandrasekhar, Plasma Physics (Phoenix Books, The University of Chicago Press, Chicago, 1960).
- J. P. Freidberg, Ideal Magnetohydrodynamics (Plenum Press, New York, 1987).
- T. G. Cowling, Magnetohydrodynamics , Monographs on Astronomical Subjects (Adam Hilger, England, 1976).
- J. D. Jackson, Classical Electrodynamics (John Wiley & Sons, Inc., New York, 1975).
- F. London and H. London, Proc. R. Soc. London A 149, 71 (1935).
- F. London, Superfluids: Macroscopic Theory of Superconductivity (Wiley, New York, 1950), Vol. I.
- D. R. Tilley and J. Tilley, Superfluidity and Superconductivity (IOP Publishing, Bristol, United Kingdom, 1990).
- M. Tinkham, Introduction to Superconductivity (McGraw-Hill, New York, 1996), 2nd ed.
- C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (W. H. Freeman and Company, New York, 1973).