Chacón-Acosta, Guillermo; Dagdug, Leonardo; Morales-Técotl, Hugo A. 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]. Cited in 1 Document 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.) Keywords:momentum transfer approximation; collision integral; Jüttner distribution function; fluctuation-dissipation relation Citations:Zbl 1190.82038 PDFBibTeX XMLCite \textit{G. Chacón-Acosta} et al., AIP Conf. Proc. 1312, 73--79 (2010; Zbl 1402.76162)