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A covariant Fokker-Planck equation for a simple gas from relativistic kinetic theory. (English) Zbl 1402.76162

Dagdug, Leonardo (ed.) et al., IV Mexican meeting on mathematical and experimental physics: Relativistic fluids and biological physics, El Colegio Nacional, Mexico City, Mexico, July 19–23, 2010. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0867-8/hbk). AIP Conference Proceedings 1312, 73-79 (2010).
Summary: A manifestly covariant Fokker-Planck differential equation is derived for the case of a relativistic simple gas by taking a small momentum transfer approximation within the collision integral of the relativistic Boltzmann equation. We closely follow previous work [the first author and G. M. Kremer, Phys. Rev. E (3) 76, No. 2, 021201, 7 p. (2007; Zbl 1190.82038)], with the main difference that we keep manifest covariance at every stage of the analysis. In addition, we use the covariant Jüttner distribution function to find a relativistic generalization of Einstein’s fluctuation-dissipation relation.
For the entire collection see [Zbl 1213.76006].

MSC:

76Y05 Quantum hydrodynamics and relativistic hydrodynamics
76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)

Citations:

Zbl 1190.82038
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