THE DISCRETE ENERGY REPRESENTATION OF THE THERMALIZATION PROBLEM
Technical Report
·
OSTI ID:4748882
The validity of a discrete representation of the energy variable in view of the existence of a continuum of eigenvalues has been examined. For an infinite medium with 1/v absorption and a spatially constant source, time dependent and steady state spectra were generated both directly from the Boltzmann equation and from an eigenfunction expansion, using the Mass-1 and the Nelkin kernel. The steady state solution of the Boltzmann equation with the Mass- 1 kernel yielded the Wigner-Wilkins spectra, and eigenfunctions found for the time dependent equation form an orthonormal set that represents all functions over the discrete set of energies considered. (D.C.W.)
- Research Organization:
- Rensselaer Polytechnic Inst., Troy, N.Y.
- NSA Number:
- NSA-17-015221
- OSTI ID:
- 4748882
- Report Number(s):
- TID-18008
- Country of Publication:
- United States
- Language:
- English
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