Method of moments for a relativistic single-component gas

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.

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Publication Details

Journal
Physical review. D/Physical review. D.
Published
2024-08-26
DOI
https://doi.org/10.1103/physrevd.110.036017
Citations
5
Primary Topic
Gas Dynamics and Kinetic Theory
Type
article
Field-Weighted Citation Impact
4.88

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article

Method of moments for a relativistic single-component gas

Gabriel S. Denicol, Caio V. P. de Brito
5 citations
Physical review. D/Physical review. D.
Gas Dynamics and Kinetic Theory
4.88
article

Method of moments for a relativistic single-component gas

Gabriel S. Denicol, Caio V. P. de Brito
article en
5 citations

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.

Physical review. D/Physical review. D.Vol. 110(3)
Goethe University Frankfurt (DE), Goethe-Institute United Kingdom (GB), Universidade Federal Fluminense (BR)
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro
Climate action
Openalex Percentile: Top 4%
Gas Dynamics and Kinetic Theory
4.88
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