Lattice Boltzmann study of the one-dimensional boost-invariant expansion with anisotropic initial conditions

Autor: Ambrus, Victor E., Guga-Rosian, Calin
Rok vydání: 2018
Předmět:
Zdroj: AIP Conf. Proc. 2071 (2019) 020014
Druh dokumentu: Working Paper
DOI: 10.1063/1.5090061
Popis: A numerical algorithm for the implementation of anisotropic distributions in the frame of the relativistic Boltzmann equation is presented. The implementation relies on the expansion of the Romatschke-Strickland distribution with respect to orthogonal polynomials, which is evolved using the lattice Boltzmann algorithm. The validation of our proposed scheme is performed in the context of the one-dimensional boost invariant expansion (Bjorken flow) at various values of the ratio $\eta / s$ of the shear viscosity to the entropy density. This study is limited to the case of massless particles obeying Maxwell-J\"uttner statistics.
Comment: 6 pages, 2 figures, submitted to the proceedings of the TIM-18 Physics Conference, 24-26 May 2017, Timisoara, Romania. Matches the accepted version
Databáze: arXiv