On the role of the adjoint Boltzmann equation in the calculation of energy deposition
Abstract
The adjoint Boltzmann equation is used to develop a formalism for calculating energy deposition in moderators. Examples of the technique are given which include a point source of fast neutrons in an infinite medium and a uniform source in a sphere of finite radius. Elastic scattering is used to describe the slowingdown process, and the heating rates are calculated for moderators with mass numbers of 1, 2, 3, 4, 5, 10, 16 and 50. The results are compared with some recent Monte Carlo calculations for compressed pellets of deuterium and tritium, and good agreement is found.
 Publication:

Journal of Physics D Applied Physics
 Pub Date:
 December 1977
 DOI:
 10.1088/00223727/10/17/006
 Bibcode:
 1977JPhD...10.2343W
 Keywords:

 Boltzmann Transport Equation;
 Energy Transfer;
 Fast Neutrons;
 High Energy Interactions;
 Moderators;
 Deuterium Plasma;
 Elastic Scattering;
 Kernel Functions;
 Particle Energy;
 Reactor Physics;
 Scattering Cross Sections;
 Tables (Data);
 Tritium;
 Nuclear and HighEnergy Physics