Statistics – Computation
Scientific paper
Mar 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992a%26a...256..452j&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 256, no. 2, p. 452-458.
Statistics
Computation
22
Monte Carlo Method, Neutrinos, Neutron Stars, Nuclear Astrophysics, Supernovae, Transport Properties, Astronomical Models, Computational Astrophysics, Diffusion, Opacity, Stellar Evolution
Scientific paper
Monte Carlo methods are applied to the transport of neutrinos in supernovae and protoneutron stars to check the applicability of currently used flux-limited diffusion techniques. Significant and principle differences are found. Motivated by these findings improvements of flux-limited diffusion are worked out which allow for a better and more consistent approximation of neutrino transfer. The introduction of a correction function, which carries information about the geometry of the considered problem and acts like an opacity term, allows consistency to be achieved between the radiation energy and momentum equations. It controls and governs the evolution of the radiation field towards free streaming when the matter opacity becomes small. Furthermore, better agreement with solutions of the Boltzmann equation requires the use of a new flux-limiter which is deduced from the Monte Carlo results for neutrino transport in a variety of typical situations.
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