Astronomy and Astrophysics – Astrophysics
Scientific paper
Oct 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985a%26a...151...79s&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 151, no. 1, Oct. 1985, p. 79-89. NSERC-supported research.
Astronomy and Astrophysics
Astrophysics
7
Elastic Scattering, Particle Diffusion, Photons, Plasma-Electromagnetic Interaction, Radiative Transfer, Space Plasmas, X Ray Sources, Boltzmann Transport Equation, Compton Effect, Hyperbolic Differential Equations, Optical Thickness, Plasma Diffusion, Relativistic Theory, Transient Response
Scientific paper
The elastic space-time diffusion of photons through a cloud of ionized plasma is considered. It is shown that the validity of conventional treatments of this problem breaks down if the optical depth of the plasma is modest. Hyperbolic diffusion equations have to replace the conventional parabolic equations in this case, and it is shown that, apart from regular diffusion, forward scattering becomes relevant. This introduces a new and second characteristic time scale, i.e. the so-called precursor time. For the case of highly transient photon sources these two time scales become directly visible in the form of double-peaked temporal diffusion profiles. The analysis of this paper is based on the relativistic Boltzmann equation for photons. A comparison with results from relativistic random walk theory is given. The significance of hyperbolic photon diffusion to astrophysics is briefly discussed at the end of this paper.
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