Physics – Condensed Matter – Statistical Mechanics
Scientific paper
Dec 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987apj...323..211f&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 323, Dec. 1, 1987, p. 211-226.
Physics
Condensed Matter
Statistical Mechanics
14
Anisotropic Media, Plasma Radiation, Radiative Transfer, Stellar Atmospheres, Stellar Models, Thermodynamic Equilibrium, Distribution Functions, Hydrodynamic Equations, Photons, Statistical Distributions, Statistical Mechanics
Scientific paper
A formalism is presented which employs the principles of statistical mechanics to approximate the state of a radiation field that is out of equilibrium with the material medium through which it passes. Central to the theory is the statistically constrained angular distribution of the photons and the statistically independent energy distribution. The author is addressing the problem of finding a statistical distribution for the photons. He argues that the physics underlying the derived specific intensity of the radiation field is valid for gray transport, and he discusses possibilities of adapting the theory to nongray transport. The author shows that the functional form of the distribution function leads to a natural closure of the hierarchy of radiative moment equations at the third angular order. A few examples of currently interesting applications in high-energy astrophysics are briefly discussed. The consequences of this theory for some basic thermodynamic relations, and a similar treatment for neutrino transport, are also discussed.
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