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Comment: 17 pages, no figures. Review in special issue of the Journal of Non-Newtonian Fluid Mechanics dedicated to the 5th International Workshop on Nonequilibrium Thermodynamics. Cuernavaca, Mexico, 24-28 August 2009. Guest editors L.S. Garcia-Colin, M. Lopez de Haro and F. Vazquez
Comment: Invited review for Festschrift in honor of Prof. Leopoldo Garcia-Colin Scherer
The kinetic theory of dilute gases to first order in the gradients yields linear relations between forces and fluxes. The heat flux for the relativistic gas has been shown to be related not only to the temperature gradient but also to the density gradient in the representation where number density, temperature and hydrodynamic velocity are the independent state variables. In this work we show the calculation of the corresponding transport coefficients from the full Boltzmann equation and compare the magnitude of the relativistic correction.
Comment: 8 pages, one figure. To appear in the AIP conference proceedings of the IV Mexican Meeting on Mathematical and Experimental Physics, Mexico, D.F., 19th to 23th July
In this work we study the properties of a relativistic mixture of two non-reacting dilute species in thermal local equilibrium. Following the conventional ideas in kinetic theory, we use the concept of chaotic velocity. In particular, we address the nature of the density, or pressure gradient term that arises in the solution of the linearized Boltzmann equation in this context. Such effect, also present for the single component problem, has so far not been analyzed from the point of view of the Onsager resciprocity relations. In order to address this matter, we propose two alternatives for the Onsagerian matrix which comply with the corresponding reciprocity relations and also show that, as in the non-relativistic case, the chemical potential is not an adequate thermodynamic force. The implications of both representations are briefly...
Comment: Latex, no figures. English translation for work to be published in the proceedings of: Teorias, Modelos y Aplicaciones de Matematicas y Computacion, Memorias de la 1ra y 2da Semana de Computacion y Matematicas Aplicadas. Eds. Pedro Pablo Gonzalez Perez, Ismael Velazquez Ramirez y Luis Franco Perez (UAM-C, Mexico City)
In this work we study the properties of a relativistic mixture of two non-reacting species in thermal local equilibrium. We use the full Boltzmann equation (BE) to find the general balance equations. Following conventional ideas in kinetic theory, we use the concept of chaotic velocity. This is a novel approach to the problem. The resulting equations will be the starting point of the calculation exhibiting the correct thermodynamic forces and the corresponding fluxes; these results will be published elsewhere.
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