On the nature of the so-called generic instabilities in dissipative relativistic hydrodynamics

Details On the nature of the so-called generic instabilities in dissipative relativistic hydrodynamics On the nature of the so-called generic instabilities in dissipative relativistic hydrodynamics

2008-02-26

arxiv.org/abs/0802.3838v2

General Relativity and Gravitation 41:1645-1654 (2009)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, no figures. Accepted for publication in GRG

Scientific paper

10.1007/s10714-008-0735-0

It is shown that the so-called generic instabilities that appear in the framework of relativistic linear irreversible thermodynamics, describing the fluctuations of a simple fluid close to equilibrium, arise due to the coupling of heat with hydrodynamic acceleration which appears in Eckart's formalism of relativistic irreversible thermodynamics. Further, we emphasize that such behavior should be interpreted as a contradiction to the postulates of linear irreversible thermodynamics (LIT), namely a violation of Onsager's hypothesis on the regression of fluctuations, and not as fluid instabilities. Such contradictions can be avoided within a relativistic linear framework if a Meixner-like approach to the phenomenological equations is employed.

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