|
1
|
Cordeiro I, Speranza E, Ingles K, Bemfica FS, Noronha J. Causality Bounds on Dissipative General-Relativistic Magnetohydrodynamics. PHYSICAL REVIEW LETTERS 2024; 133:091401. [PMID: 39270164 DOI: 10.1103/physrevlett.133.091401] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/30/2024] [Revised: 05/29/2024] [Accepted: 07/23/2024] [Indexed: 09/15/2024]
Abstract
We derive necessary and sufficient conditions under which a large class of relativistic generalizations of Braginskii's magnetohydrodynamics with shear, bulk, and heat diffusion effects is causal and strongly hyperbolic in the fully nonlinear regime in curved spacetime. We find that causality severely constrains the size of nonideal effects and the onset of kinetic instabilities. Our results are crucial for assessing the regime of validity of fluid dynamical simulations of plasmas near supermassive black holes.
Collapse
|
|
2
|
Rocha GS, Wagner D, Denicol GS, Noronha J, Rischke DH. Theories of Relativistic Dissipative Fluid Dynamics. ENTROPY (BASEL, SWITZERLAND) 2024; 26:189. [PMID: 38539701 PMCID: PMC10969289 DOI: 10.3390/e26030189] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/28/2023] [Revised: 02/14/2024] [Accepted: 02/16/2024] [Indexed: 11/11/2024]
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.
Collapse
Affiliation(s)
- Gabriel S. Rocha
- Department of Physics and Astronomy, Vanderbilt University, 1221 Stevenson Center Lane, Nashville, TN 37212, USA;
- Instituto de Física, Universidade Federal Fluminense, 24210-346 Niterói, RJ, Brazil;
- Institute for Theoretical Physics, Goethe University, Max-von-Laue-Str. 1, D-60438 Frankfurt am Main, Germany;
| | - David Wagner
- Institute for Theoretical Physics, Goethe University, Max-von-Laue-Str. 1, D-60438 Frankfurt am Main, Germany;
- Department of Physics, West University of Timișoara, Bd. Vasile Pârvan 4, 300223 Timisoara, Romania
| | - Gabriel S. Denicol
- Instituto de Física, Universidade Federal Fluminense, 24210-346 Niterói, RJ, Brazil;
| | - Jorge Noronha
- Illinois Center for Advanced Studies of the Universe, Department of Physics, University of Illinois Urbana-Champaign, Urbana, IL 61801, USA;
| | - Dirk H. Rischke
- Institute for Theoretical Physics, Goethe University, Max-von-Laue-Str. 1, D-60438 Frankfurt am Main, Germany;
- Helmholtz Research Academy Hesse for FAIR, Campus Riedberg, Max-von-Laue-Str. 12, D-60438 Frankfurt am Main, Germany
| |
Collapse
|
|
3
|
|
|
4
|
Rocha GS, Denicol GS, Noronha J. Perturbative approaches in relativistic kinetic theory and the emergence of first-order hydrodynamics. Int J Clin Exp Med 2022. [DOI: 10.1103/physrevd.106.036010] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
|