2013/02/28 by Amaresh Jaiswal · 2 citations
Mathematics · Physics and Astronomy · #Cosmology and Gravitation Theories #Gas Dynamics and Kinetic Theory #High-Energy Particle Collisions Research #hep-ph #hep-th #nucl-th #physics.flu-dyn
paper · pdf · doi:10.1103/physrevc.87.051901
published as Phys.Rev.C87:051901,2013 · 5 pages, 1 figure, supplemental material in the source, version to appear in PRC (Rapid Comm)
openalex publication_date 2013/05/01 · arxiv created 2013/05/14 · arxiv updated 2013/05/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Starting from the Boltzmann equation with the relaxation time approximation for the collision term and using a Chapman-Enskog-like expansion for the distribution function close to equilibrium, we derive hydrodynamic evolution equations for the dissipative quantities directly from their definition. Although the form of the equations is identical to those obtained in traditional Israel-Stewart approaches employing Grad's 14-moment approximation and the second moment of the Boltzmann equation, the coefficients obtained are different. In the case of a one-dimensional scaling expansion, we demonstrate that our results are in better agreement with a numerical solution of the Boltzmann equation as compared to Israel-Stewart results. We also show that including approximate higher-order corrections in viscous evolution significantly improves this agreement, thus justifying the relaxation time approximation for the collision term.