A modified theoretical Σ − D relation for supernova remnants: II. The case of variable temperature within the supernova remnant

Abstract

In this preliminary report a modification of the theoretical Σ − D relation for supernova remnants (SNRs) in the adiabatic expansion phase is presented in another way. As in Paper I, this modification is based on the convolution procedure. The relation first derived by Shklovsky is convoluted with the Σ − D relation derived in this report for thermal bremsstrahlung radiation. Also, we adopt McKee & Ostriker’s model for the interaction between SNRs and the interstellar medium. Kesteven’s modified theoretical relation gives the best agreement with the updated "master" empirical Σ − D relation derived by Urošević.

Keywords

• ISM: supernova remnants
• radiation mechanisms: thermal
• radiocontinuum: ISM