Stationary neutrino radiation transport by maximum entropy closure

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The authors obtain the angular distributions that maximize the entropy functional for Maxwell-Boltzmann (classical), Bose-Einstein, and Fermi-Dirac radiation. In the low and high occupancy limits, the maximum entropy closure is bounded by previously known variable Eddington factors that depend only on the flux. For intermediate occupancy, the maximum entropy closure depends on both the occupation density and the flux. The Fermi-Dirac maximum entropy variable Eddington factor shows a scale invariance, which leads to a simple, exact analytic closure for fermions. This two-dimensional variable Eddington factor gives results that agree well with exact (Monte Carlo) neutrino transport calculations out of a ... continued below

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18 p.

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Bludman, S. A. & Cernohorsky, J. November 1994.

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  • Bludman, S. A. Univ. of California, Berkeley, CA (United States). Center for Particle Astrophysics
  • Cernohorsky, J. Lawrence Berkeley Lab., CA (United States)

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Description

The authors obtain the angular distributions that maximize the entropy functional for Maxwell-Boltzmann (classical), Bose-Einstein, and Fermi-Dirac radiation. In the low and high occupancy limits, the maximum entropy closure is bounded by previously known variable Eddington factors that depend only on the flux. For intermediate occupancy, the maximum entropy closure depends on both the occupation density and the flux. The Fermi-Dirac maximum entropy variable Eddington factor shows a scale invariance, which leads to a simple, exact analytic closure for fermions. This two-dimensional variable Eddington factor gives results that agree well with exact (Monte Carlo) neutrino transport calculations out of a collapse residue during early phases of hydrostatic neutron star formation.

Physical Description

18 p.

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INIS; OSTI as DE95006579

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  • Physics of supernovae, Philadelphia, PA (United States), 6-8 Apr 1994

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  • Other: DE95006579
  • Report No.: LBL--36135
  • Report No.: UPR--0631T;CONF-9404245--1
  • Grant Number: AC03-76SF00098
  • Office of Scientific & Technical Information Report Number: 32494
  • Archival Resource Key: ark:/67531/metadc677176

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Office of Scientific & Technical Information Technical Reports

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  • November 1994

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  • July 25, 2015, 2:20 a.m.

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  • Feb. 23, 2016, 12:24 p.m.

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Bludman, S. A. & Cernohorsky, J. Stationary neutrino radiation transport by maximum entropy closure, article, November 1994; California. (digital.library.unt.edu/ark:/67531/metadc677176/: accessed November 17, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.