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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Nonlinear causality of general first-order relativistic viscous hydrodynamics

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Bemfica, Fabio S. [1] ; Disconzi, Marcelo M. [2] ; Noronha, Jorge [3, 4]
Total Authors: 3
[1] Univ Fed Rio Grande do Norte, Escola Ciencias & Tecnol, BR-59072970 Natal, RN - Brazil
[2] Vanderbilt Univ, Dept Math, Nashville, TN 37240 - USA
[3] Univ Illinois, Dept Phys, 1110 W Green St, Urbana, IL 61801 - USA
[4] Univ Sao Paulo, Inst Fis, Rua Matao 1371, BR-05508090 Sao Paulo, SP - Brazil
Total Affiliations: 4
Document type: Journal article
Source: Physical Review D; v. 100, n. 10 NOV 11 2019.
Web of Science Citations: 0

Effective theory arguments are used to derive the most general energy-momentum tensor of a relativistic viscous fluid with an arbitrary equation of state (in the absence of other conserved currents) that is first-order in the derivatives of the energy density and flow velocity and does not include extended variables such as in Mueller-Israel-Stewart-like theories. This energy-momentum tensor leads to a causal theory, provided one abandons the usual conventions for the out-of-equilibrium hydrodynamic variables put forward by Landau-Lifshitz and Eckart. In particular, causality requires nonzero out-of-equilibrium energy density corrections and heat flow. Conditions are found to ensure linear stability around equilibrium in flat space-time. We also prove local existence and uniqueness of solutions to the equations of motion. Our causality, existence, and uniqueness results hold in the full nonlinear regime, without symmetry assumptions, in four space-time dimensions, with or without coupling to Einstein's equations, and are mathematically rigorously established. Furthermore, a kinetic theory realization of this energy-momentum tensor is also provided. (AU)

FAPESP's process: 17/05685-2 - Hadronic physics in high energy nuclear collisions
Grantee:Jun Takahashi
Support type: Research Projects - Thematic Grants