Wednesday, May 30, 2012

1205.5843 (Kyosuke Tsumura et al.)

New forms of non-relativistic and relativistic hydrodynamic equations as
derived by the renormalization-group method - possible functional ansatz in
the moment method consistent with Chapman-Enskog theory -

Kyosuke Tsumura, Teiji Kunihiro
After a brief account of the derivation of the first-order relativistic hydrodynamic equation as a construction of the invariant manifold of relativistic Boltzmann equation, we give a sketch of derivation of the second-order hydrodynamic equation (extended thermodynamics) both in the nonrelativistic and relativistic cases. We show that the resultant equation suggests a novel ansatz for the functional form to be used in Grad moment method, which turns out to give the same expressions for the transport coefficients as those given in the Chapman-Enskog theory as well as the novel expressions for the relaxation times and lenghts allowing natural physical interpretaion.
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