English

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

Other Condensed Matter 2017-04-26 v1 Fluid Dynamics

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.

Keywords

Cite

@article{arxiv.1609.06238,
  title  = {Compressible Fluids with Maxwell-type equations, the minimal coupling with electromagnetic field and the Stefan-Boltzmann law},
  author = {Albert C. R. Mendes and Flavio I. Takakura and Everton M. C. Abreu and Jorge Ananias Neto},
  journal= {arXiv preprint arXiv:1609.06238},
  year   = {2017}
}

Comments

arXiv admin note: text overlap with arXiv:0912.2063 by other authors