Statistics
Scientific paper
Nov 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992a%26a...265..345j&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 265, no. 1, p. 345-354.
Statistics
10
Angular Distribution, Eddington Approximation, Fermions, Maximum Entropy Method, Neutrinos, Neutron Stars, Radiative Transfer, Supernovae, Fermi-Dirac Statistics, Pauli Exclusion Principle, Stellar Physics
Scientific paper
Having data from elaborate Monte Carlo simulations at hand we discuss properties of the Fermion angular distributions obtained for typical situations of (quasi-)stationary neutrino transport in type-II supernovae and protoneutron stars. We demonstrate that a two-parameter Fermi-Dirac ansatz, which is consistent with maximum entropy considerations, yields a reasonable approximation and allows to obey the Pauli principle. The corresponding flux-limiters and variable Eddington factors are suitable to reproduce basic characteristics of the detailed neutrino transport results. They show systematic and principal differences when compared with approaches developed and applied for photons. These differences are mainly due to explicit limits for the angular peaking, which follow from phase space blocking in the Fermion case.
Dgani Ruth
Janka H.-Th.
van den Horn Leo J.
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