Method of moments for a relativistic single-component gas

2024/01/18 by Caio V. P. de Brito, Gabriel S. Denicol, de Brito, Caio V. P. +1 · 1 citation
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #High-Energy Particle Collisions Research #Nuclear Theory (nucl-th) #Quantum, superfluid, helium dynamics

paper · pdf · doi:10.48550/arxiv.2401.10098

openalex publication_date 2024/01/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We derive the equations of motion for all the irreducible moments of the single-particle distribution function. We find that these moment equations of motion are highly coupled, with the dynamics of lower-rank moments always being coupled to those of a higher-rank, leading to an endless tower of equations. Considering a massless gas in Bjorken flow, we investigate how this hierarchy of differential equations can be properly truncated and solved.

Cited by

• Hydrodynamic models of reheating

Related

• Divergence and resummation of the moment expansion for an ultrarelativistic gas in Bjorken flow
• Third-order relativistic dissipative fluid dynamics from the method of moments
• Relativistic Kinetic Theory of Polyatomic Gases: Classical Limit of a New Hierarchy of Moments and Qualitative Analysis
• On the Approach Towards Equilibrium Through Momentum-Dependent Relaxation:Insights from Evolution of the Moments in Kinetic Theory
• Which moments are appropriate to describe gases with internal structure in Rational Extended Thermodynamics?