Neutrino emission from a hot, dense, plane-parallel atmosphere in hydrostatic equilibrium. II - Numerical methods and interaction functions
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Abstract
Detailed neutrino and antineutrino emission and absorption coefficients for beta-decay interactions are assembled, along with coefficients for neutrino and antineutrino scattering from protons, neutrons, electrons and positrons, absorption and emission coefficients for neutrino-antineutrino pair emission, and absorption by electron-positron pairs and plasmons. These formulas are presented in a form suitable for use in the neutrino and antineutrino transport equations. A numerical method to solve the problem of a plane-parallel, semiinfinite, static neutrino atmosphere 'heated from below' is described in detail. Explicit relations are given for the entropy of a gas of free electrons, protons, neutrons, positrons, photons, neutrinos, and antineutrinos, and it is shown how these relations can be used to calculate the convective stability criterion discussed elsewhere.
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