Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2010-03-16
Nucl.Phys.A847:283-314,2010
Physics
Nuclear Physics
Nuclear Theory
18 pages, no figures; title changed, to appear in Nucl. Phys. A
Scientific paper
10.1016/j.nuclphysa.2010.08.002
We derive the second order hydrodynamic equations for the relativistic system of multi-components with multiple conserved currents by generalizing the Israel-Stewart theory and Grad's moment method. We find that, in addition to the conventional moment equations, extra moment equations associated with conserved currents should be introduced to consistently match the number of equations with that of unknowns and to satisfy the Onsager reciprocal relations. Consistent expansion of the entropy current leads to constitutive equations which involve the terms not appearing in the original Israel-Stewart theory even in the single component limit. We also find several terms which exhibit thermal diffusion such as Soret and Dufour effects. We finally compare our results with those of other existing formalisms.
Hirano Tetsufumi
Monnai Akihiko
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