Vol. 3, No. 6, 2008

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Internal energy in dissipative relativistic fluids

Péter Ván

Vol. 3 (2008), No. 6, 1161–1169

Liu procedure is applied to special relativistic fluids. It is shown that a reasonable relativistic theory is an extended one, where the basic state space contains the momentum density. This property follows from the structure of the energy-momentum balance and the Second Law of thermodynamics. Moreover, we derive that the entropy depends on both the energy density and the momentum density in a specific way, indicating that the local rest frame energy density cannot be interpreted as the internal energy, and that the local rest frame momentum density should be considered, too. The corresponding constitutive relations for the stress and the energy flux are derived.

relativistic nonequilibrium thermodynamics, Liu procedure, relativistic internal energy
Received: 7 February 2008
Accepted: 25 March 2008
Published: 1 August 2008
Péter Ván
KFKI Research Institute for Particle and Nuclear Physics
Konkoly Thege Miklós út 29-33
H-1121 Budapest
Bergen Center for Computational Science
Thormøhlensgate 55
N-5008 Bergen