Analytical and Monte Carlo results for the surface-brightness diameter relationship in supernova remnants
arXiv:1201.5223 · doi:10.1088/0004-637X/746/1/56
Abstract
The surface brightness diameter relationship for supernovae remnants (SNRs) is explained by adopting a model of direct conversion of the flux of kinetic energy into synchrotron luminosity. Two laws of motion are adopted, a power law model for the radius-time relationship, and a model which uses the thin layer approximation. The fluctuations on the log-log surface diameter relationship are modeled by a Monte Carlo simulation. In this model a new probability density function for the density as function of the galactic height is introduced.
24 pages 8 figures