Third-order relativistic dissipative fluid dynamics from the method of moments

2023/02/17 by Caio V. P. de Brito, Gabriel S. Denicol, de Brito, Caio V. P. +1 · 2 citations
Engineering · Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Nuclear Theory (nucl-th) #Solar and Space Plasma Dynamics

paper · pdf · doi:10.48550/arxiv.2302.09097

openalex publication_date 2023/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive a linearly causal and stable third-order relativistic fluid-dynamical theory from the Boltzmann equation using the method of moments. For this purpose, we demonstrate that such theory must include novel degrees of freedom, corresponding to irreducible tensors of rank 3 and 4. The equations of motion derived in this work are compared with numerical solutions of the Boltzmann equation, considering an ultrarelativistic, classical gas in the highly symmetric Bjorken flow scenario. These solutions are shown to be in good agreement for a wide range of values of shear viscosity and initial temperatures.

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