2013/11/21 by Oleg N. Moroz, O. Moroz
Mathematics · Physics and Astronomy · #Cosmology and Gravitation Theories #Gas Dynamics and Kinetic Theory #High-Energy Particle Collisions Research #physics.flu-dyn
paper · pdf · doi:10.1016/j.compfluid.2013.11.014
published as Comput. Fluids 90, 9 (2014) · 32 pages; the version accepted to Computers & Fluids. arXiv admin note: substantial text overlap with arXiv:1301.6670, arXiv:1112.0277
openalex publication_date 2013/11/21 · arxiv created 2014/02/10 · arxiv updated 2014/02/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Using Mathematica package, we derive analytical closed-form expressions for the shear and the bulk viscosity coefficients in multicomponent relativistic gases with constant cross sections, being the relativistic generalization for the hard spheres model. Some of them are cumbersome and require symbolic manipulations in an algebraic package. The constant cross sections are of the elastic processes, while the inelastic (or number-changing) processes (collisions or decays) are considered only partly. As examples, we find explicit expressions of the correct single-component first-order shear viscosity coefficient and some explicit analytical results for the binary mixture. These formulas have numerous applications in approximate nonequilibrium descriptions of gases of particles or quasiparticles with averaged (temperature dependent) cross sections. In addition to this, we present formulas for collision rates and some other related formulas. This paper is a shortened version of a previous one.