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arXiv · 1609.06238

Compressible Fluids with Maxwell-type equations, the minimal coupling with electromagnetic field and the Stefan-Boltzmann law

Albert C. R. Mendes·Flavio I. Takakura·Everton M. C. Abreu·Jorge Ananias Neto
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Abstract

In this work we have obtained a higher-derivative Lagrangian for a charged fluid coupled with the electromagnetic fluid and the Dirac's constraints analysis was discussed. A set of first-class constraints fixed by noncovariant gauge condition was obtained. The path integral formalism was used to obtain the partition function for the corresponding higher-derivative Hamiltonian and the Faddeev-Popov ansatz was used to construct an effective Lagrangian. Through the partition function, a Stefan-Boltzmann type law was obtained.

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Albert C. R. Mendes, Flavio I. Takakura, Everton M. C. Abreu, Jorge Ananias Neto. 2016-07-11. Compressible Fluids with Maxwell-type equations, the minimal coupling with electromagnetic field and the Stefan-Boltzmann law. https://doi.org/10.1016/j.aop.2017.02.017

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