On the kinetic foundations of Kaluza's magnetohydrodynamics
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Alfredo Sandoval-Villalbazo
,
Alma R. Sagaceta-Mejía
Abstract
Recent work has shown the existence of a relativistic effect present in a single component non-equilibrium fluid, corresponding to a heat flux due to an electric field [J. Non-Equilib. Thermodyn. 38 (2013), 141–151]. The treatment in that work was limited to a four-dimensional Minkowski space-time in which the Boltzmann equation was treated in a special relativistic approach. The more complete framework of general relativity can be introduced to kinetic theory in order to describe transport processes associated to electromagnetic fields. In this context, the original Kaluza's formalism is a promising approach [Sitz. Ber. Preuss. Akad. Wiss. (1921), 966–972; Gen. Rel. Grav. 39 (2007), 1287–1296; Phys. Plasmas 7 (2000), 4823–4830]. The present work contains a kinetic theory basis for Kaluza's magnetohydrodynamics and gives a novel description for the establishment of thermodynamic forces beyond the special relativistic description.
Funding source: CONACyT
Award Identifier / Grant number: CB2011/167563
The authors wish to thank Dominique Brun-Battistini for her valuable comments leading to numerous improvements in the final version of this work.
© 2015 by De Gruyter
Articles in the same Issue
- Frontmatter
- Conservation-dissipation formalism of irreversible thermodynamics
- On stress relaxation timescales for dense binary particulate systems
- On the kinetic foundations of Kaluza's magnetohydrodynamics
- Thermal transport across a thin film composite due to laser short-pulse heating
- Quantum finite time availability for parametric oscillators
Articles in the same Issue
- Frontmatter
- Conservation-dissipation formalism of irreversible thermodynamics
- On stress relaxation timescales for dense binary particulate systems
- On the kinetic foundations of Kaluza's magnetohydrodynamics
- Thermal transport across a thin film composite due to laser short-pulse heating
- Quantum finite time availability for parametric oscillators
