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  Variational description of multi-fluid hydrodynamics: Coupling to gauge fields

Prix, R. (2005). Variational description of multi-fluid hydrodynamics: Coupling to gauge fields. Physical Review D, 71(8): 083006.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4E31-B Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4E32-9
Genre: Journal Article

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0503217.pdf (Preprint), 298KB
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 Creators:
Prix, Reinhard1, Author              
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1Observational Relativity and Cosmology, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society, ou_24011              

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 Abstract: In this work we extend our previously developed formalism of Newtonian multi-fluid 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 multi-constituent system.

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Language(s): eng - English
 Dates: 2005-04
 Publication Status: Published in print
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 Identifiers: eDoc: 214020
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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 71 (8) Sequence Number: 083006 Start / End Page: - Identifier: -