On the nature of the so-called generic instabilities in dissipative relativistic hydrodynamics |
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| Authors: | A L Garcia-Perciante L S Garcia-Colin and Alfredo Sandoval-Villalbazo |
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| Institution: | (1) Depto. de Matematicas Aplicadas y Sistemas, Universidad Autonoma Metropolitana-Cuajimalpa, Artificios 40, 01120 Mexico D.F., Mexico;(2) Depto. de Fisica, Universidad Autonoma Metropolitana-Iztapalapa, Av. Purisima y Michoacan S/N, 09340 Mexico D.F., Mexico;(3) El Colegio Nacional, Luis Gonzalez Obregon 23, Centro Historico, 06020 Mexico D.F., Mexico;(4) Depto. de Fisica y Matematicas, Universidad Iberoamericana, Prolongacion Paseo de la Reforma 880, 01210 Mexico D.F., Mexico |
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| Abstract: | It is shown that the so-called generic instabilities that appear in the framework of relativistic linear irreversible thermodynamics
(LIT), 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 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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| Keywords: | Dissipative relativistic fluid Fluctuations Fluid dynamics Generic instabilities |
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