Astron. Astrophys. Suppl. Ser.
Volume 129, Number 2, April II 1998
|Page(s)||343 - 351|
|Published online||15 April 1998|
Legendre expansion of the kernel: Influence of high order terms
Departament d'Astronomia i Astrofísica, Universitat de Valencia 46100 Burjassot (Valencia), Spain
2 Astronomy program, Department of Physics and Astronomy, SUNY at Stony Brook, Stony Brook, New York 11794, U.S.A.
Corresponding author: Send offprint request to: J.A. Pons, Jose.A.Pons@uv.es
Accepted: 2 October 1997
We calculate the Legendre expansion of the rate of the process up to 3rd order extending previous results of other authors which only consider the th and 1st order terms. Using different closure relations for the moment equations of the radiative transfer equation we discuss the physical implications of taking into account quadratic and cubic terms on the energy deposition outside the neutrinosphere in a simplified model. The main conclusion is that 2nd order is necessary in the semi-transparent region and gives good results if an appropriate closure relation is used.
Key words: radiation mechanisms: thermal / radiative transfer / stars: neutron / supernovae: general / nuclear reactions
© European Southern Observatory (ESO), 1998