Maximum entropy distribution and closure for Bose-Einstein and Fermi-Dirac radiation transport

Details Maximum entropy distribution and closure for Bose-Einstein and Fermi-Dirac radiation transport Maximum entropy distribution and closure for Bose-Einstein and Fermi-Dirac radiation transport

Sep 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...433..250c&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 433, no. 1, p. 250-255

Statistics

12

Eddington Approximation, Fermi-Dirac Statistics, Maximum Entropy Method, Neutron Stars, Quantum Statistics, Radiation Transport, Star Formation, Stellar Radiation, Closure Law, Formalism, Maxwell-Boltzmann Density Function, Neutrinos, Transport Properties

Scientific paper

We derive and study the variable Eddington factors following without approximation from the maximum entropy distribution. A unified formalism is developed for classical Maxwell-Boltzmann, Bose-Einstein, and Fermi-Dirac radiation. In the classical and high occupancy limits the maximum entropy closure is bounded by previously known variable Eddington factors that depend only on the flux: the Levermore-Pomraning closure for Bose radiation at high occupation density and Minerbo's flux-limiter for the Boltzmann limit of either quantum statistics. For immediate occupancy, the maximum entropy closure depends on both the occupation density and the flux. The Fermi-Dirac maximum entropy variable Eddington factor exhibits scale invariance, which leads to a simple analytic closure for fermion radiation. This Fermi-Dirac variable Eddington factor agrees well with Monte Carlo neutrino transport closures during early stages of neutron star formation.

Affiliated with

Also associated with

No associations

Rating

Maximum entropy distribution and closure for Bose-Einstein and Fermi-Dirac radiation transport does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Maximum entropy distribution and closure for Bose-Einstein and Fermi-Dirac radiation transport, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Maximum entropy distribution and closure for Bose-Einstein and Fermi-Dirac radiation transport will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1788692