Analytical and Monte Carlo results for the surface-brightness-diameter relationship in supernova remnants

Abstract

The surface-brightness-diameter relationship for supernova remnants 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 that uses the thin layer approximation. The fluctuations in 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 a function of the galactic height is introduced. © 2012. The American Astronomical Society. All rights reserved..