Validity of the Diffusion Approximation in Relativistic Fluids

Details Validity of the Diffusion Approximation in Relativistic Fluids Validity of the Diffusion Approximation in Relativistic Fluids

Jan 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981apj...243..271g&link_type=abstract

Astrophysical Journal, Vol.243, P. 271, 1981

Astronomy and Astrophysics

Astrophysics

2

Scientific paper

The moment equations for one-dimensional motion and radiative transfer in a special relativistic fluid are developed in Lagrangian form in a manner similar to Lindquist. Characteristic analysis shows this set of equations to be hyperbolic, with characteristic slopes consistent with special relativity. In contrast, the time-dependent diffusion approximation is shown to yield mixed real and imaginary characteristics. This casts severe doubt on the applicability of diffusion theory to time-dependent, relativistic situations. The moment equations would appear to be the proper relativistic generalization of the classical diffusion approximation to radiative transfer.

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