Lattice Boltzmann study of the one-dimensional boost-invariant expansion with anisotropic initial conditions
arXiv:1807.10143 · doi:10.1063/1.5090061
Abstract
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 of the shear viscosity to the entropy density. This study is limited to the case of massless particles obeying Maxwell-Jüttner statistics.
arXiv comment6 pages, 2 figures, submitted to the proceedings of the TIM-18 Physics Conference, 24-26 May 2017, Timisoara, Romania. Matches the accepted version
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