Supernova shocks and neutrino diffusion

Computer Science

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Neutrinos, Particle Diffusion, Shock Wave Propagation, Supernovae, Electron Capture, Kinetic Energy, Particle Energy, Propagation Velocity, Virial Theorem

Scientific paper

The general features of an outgoing type II supernova shock, resulting from a spherically symmetric explosion, are discussed. The energy of the shock is calculated by comparing the sum of the internal and kinetic energies in the matter at two different times not too far apart, when the shock reaches the neutrino sphere. Neutrino diffusion on infall and neutrino production by plasma are computed, and the diffusion equation for the neutrinos behind the shock is solved. Electron capture in the shock is analyzed, showing that only a small fraction of the electrons are captured when they enter the shock. The momentum and energy of the outflowing neutrinos and the nuclear dissociation process in the shock are analyzed. Finally, the virial theorem is used to calculate the shock velocity and the radius beyond which matter may reach escape velocities.

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