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Second-order Relativistic Hydrodynamic Equations for Viscous Systems; how does the dissipation affect the internal energy? | | Kyosuke Tsumura
; Teiji Kunihiro
; | | Date: |
30 May 2009 | | Abstract: | We derive the second-order dissipative relativistic hydrodynamic equations in
a generic frame with a continuous parameter from the relativistic Boltzmann
equation. We present explicitly the relaxation terms in the energy and particle
frames. Our results show that the viscosities are frame-independent but the
relaxation times are generically frame-dependent. We confirm that the
dissipative part of the energy-momentum tensor in the particle frame satisfies
$delta T^mu_mu = 0$ obtained for the first-order equation before, in
contrast to the Eckart choice $u_mu delta T^{mu
u} u_
u = 0$ adopted as a
matching condition in the literature. We emphasize that the new constraint
$delta T^mu_mu = 0$ can be compatible with the phenomenological derivation
of hydrodynamics based on the second law of thermodynamics. | | Source: | arXiv, 0906.0079 | | Services: | Forum | Review | PDF | Favorites | |
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