Direct-simulation neutrino transport - Aspects of equilibration

Mathematics – Probability

Scientific paper

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Gravitational Collapse, Monte Carlo Method, Neutrinos, Particle Motion, Supernovae, Thermodynamic Equilibrium, Chemical Equilibrium, Electron Capture, Electron Scattering, Energy Transfer, Mathematical Models, Probability Distribution Functions

Scientific paper

An application of Monte Carlo techniques to the problem of neutrino transport in energy space is presented. A Monte Carlo treatment of the neutrino distribution function is outlined, an idealized infinite-medium model is adopted, and the general nature of neutrino-electron scattering is indicated. A simple neutrino-confinement model is introduced, and the sensitivity of the Monte Carlo code to variations in numerical parameters is tested. Results are obtained which suggest that: (1) neutrino-electron scattering may play a negligible role in neutrino equilibration; (2) neutrino-matter equilibration is likely for densities of at least about 1 trillion g/cu cm; and (3) it may not be possible to maintain even a nonequilibrium steady-state neutrino distribution over dynamical time scales for densities less than about 100 billion g/cu cm. Uncertainties and implications of the results which may affect the treatment of neutrino transport in stellar cores are considered.

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