Article

Generic stability of dissipative non-relativistic and relativistic fluids

Journal of Statistical Mechanics Theory and Experiment (impact factor: 1.73). 02/2009; DOI:10.1088/1742-5468/2009/02/P02054
Source: arXiv

ABSTRACT The linear stability of the homogeneous equilibrium of non-relativistic
fluids with mass flux and special relativistic fluids with the absolute value
of the energy vector as internal energy is investigated. It is proved that the
equilibrium is asymptotically stable in both cases due to purely thermodynamic
restrictions; the only requirements are the thermodynamic stability and the
nonnegativity of the transport coefficients.

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Keywords

absolute value
 
homogeneous equilibrium
 
linear stability
 
mass flux
 
special relativistic fluids
 
thermodynamic stability
 
transport coefficients