Analytical structure of the binary collision integral and the ultrarelativistic limit of transport coefficients of an ideal gas

Autor:	Wagner, David, Ambrus, Victor E., Molnar, Etele
Rok vydání:	2023
Předmět:	Physics - Fluid Dynamics High Energy Physics - Phenomenology Nuclear Theory
Zdroj:	Phys. Rev. D 109 (2024) 056018
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevD.109.056018
Popis:	In this paper we discuss the analytical properties of the binary collision integral for a gas of ultrarelativistic particles interacting via a constant cross-section. Starting from a near-equilibrium expansion over a complete basis of irreducible tensors in momentum space we compute the linearized collision matrices analytically. Using these results we then numerically compute all transport-coefficients of relativistic fluid dynamics with various power-counting schemes that are second-order in Knudsen and/or inverse Reynolds numbers. Furthermore, we also exactly compute the leading-order contribution with respect to the particle mass to the coefficient of bulk viscosity, the relaxation time, and other second-order transport coefficients of the bulk viscous pressure. Comment: Published version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.09335 Zobrazit plný text záznamu View this record from Arxiv