Theories of Relativistic Dissipative Fluid Dynamics

Gabriel S Rocha; David Wagner; Gabriel S Denicol; Jorge Noronha; Dirk H Rischke

doi:10.3390/e26030189

Theories of Relativistic Dissipative Fluid Dynamics

Entropy (Basel). 2024 Feb 22;26(3):189. doi: 10.3390/e26030189.

Authors

Gabriel S Rocha^{1

2

3}, David Wagner^{3

4}, Gabriel S Denicol², Jorge Noronha⁵, Dirk H Rischke^{3

6}

Affiliations

¹ Department of Physics and Astronomy, Vanderbilt University, 1221 Stevenson Center Lane, Nashville, TN 37212, USA.
² Instituto de Física, Universidade Federal Fluminense, 24210-346 Niterói, RJ, Brazil.
³ Institute for Theoretical Physics, Goethe University, Max-von-Laue-Str. 1, D-60438 Frankfurt am Main, Germany.
⁴ Department of Physics, West University of Timișoara, Bd. Vasile Pârvan 4, 300223 Timisoara, Romania.
⁵ Illinois Center for Advanced Studies of the Universe, Department of Physics, University of Illinois Urbana-Champaign, Urbana, IL 61801, USA.
⁶ Helmholtz Research Academy Hesse for FAIR, Campus Riedberg, Max-von-Laue-Str. 12, D-60438 Frankfurt am Main, Germany.

Abstract

Relativistic dissipative fluid dynamics finds widespread applications in high-energy nuclear physics and astrophysics. However, formulating a causal and stable theory of relativistic dissipative fluid dynamics is far from trivial; efforts to accomplish this reach back more than 50 years. In this review, we give an overview of the field and attempt a comparative assessment of (at least most of) the theories for relativistic dissipative fluid dynamics proposed until today and used in applications.

Keywords: fluid dynamics; kinetic theory; relativistic.

Publication types

Review

Grants and funding

J.N. is partially supported by the U.S. Department of Energy, Office of Science, Office for Nuclear Physics under Award DE-SC0023861. This research was partly supported by the National Science Foundation under Grant No. NSF PHY-1748958. G.S.R. is supported in part by the U.S. Department of Energy, Office of Science under Award Number DE-SC-0024347, by Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) Finance code 001, award No. 88881.650299/2021-01 and by Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), grant No. 142548/2019-7. D.W. acknowledges support by the Ministry of Research, Innovation and Digitization, CNCS - UEFISCDI, project number PN-III-P1-1.1-TE-2021-1707, within PNCDI III. D.W. and D.H.R. are supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through the CRC-TR 211 “Strong-interaction matter under extreme conditions”—project number 315477589–TRR 211, and by the State of Hesse within the Research Cluster ELEMENTS (Project ID 500/10.006).