期刊
PHYSICAL REVIEW D
卷 97, 期 2, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.97.024013
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资金
- grant PIP
- grant PICT of SeCyT, UNC
- NSERC
- CIFAR
- Government of Canada through the Department of Innovation
- Science and Economic Development, Canada
- Province of Ontario through the Ministry of Research and Innovation
- CONICET, Argentina
We develop a complete description of the class of conformal relativistic dissipative fluids of divergence form, following the formalism described in [R. Geroch and L. Lindblom, Phys. Rev. D 41, 1855 (1990), S. Pennisi, Some considerations on a non linear approach to extended thermodynamics and in Proceedings of Symposium of Kinetic Theory and Extended Thermodynamics, Bologna, 1987.]. This type of theory is fully described in terms of evolution variables whose dynamics are governed by total divergence-type conservation laws. Specifically, we give a characterization of the whole family of conformal fluids in terms of a single master scalar function defined up to second-order corrections in dissipative effects, which we explicitly find in general form. This allows us to identify the equilibrium states of the theory and derive constitutive relations and a Fourier-like law for the corresponding first-order theory heat flux. Finally, we show that among this class of theories-and near equilibrium configurationsthere exist symmetric hyperbolic ones, implying that for them one can define well-posed initial value problems.
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