English

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

General Relativity and Quantum Cosmology 2009-07-31 v2 High Energy Physics - Phenomenology

Abstract

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.

Keywords

Cite

@article{arxiv.0802.3838,
  title  = {On the nature of the so-called generic instabilities in dissipative relativistic hydrodynamics},
  author = {A. L. Garcia-Perciante and L. S. Garcia-Colin and A. Sandoval-Villalbazo},
  journal= {arXiv preprint arXiv:0802.3838},
  year   = {2009}
}

Comments

13 pages, no figures. Accepted for publication in GRG