Particle transport in the presence of parametric noise
- Univ. of New Mexico, Albuquerque, NM (United States). Chemical and Nuclear Engineering Dept.
Particle transport in rod and plane geometry random media is considered. The cross section is assumed to be a continuous random function of position, with fluctuations about the mean taken as Gaussian distributed. In rod geometry, an exact closure is constructed for semi-infinite media that yields exact equations for the ensemble-averaged scalar flux {phi} and current J. The same closure scheme yields a Fokker-Planck equation for the joint probability distribution function of {phi} and J, from which ensemble-averaged equations for higher order quantities are derived and solved exactly for an arbitrary correlation function. Finally, the penetration of a beam of charged particles in a highly forward scattering random medium is considered, and circumstances that yield a closed ensemble-averaged transport equation are determined.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 379807
- Journal Information:
- Nuclear Science and Engineering, Journal Name: Nuclear Science and Engineering Journal Issue: 1 Vol. 124; ISSN NSENAO; ISSN 0029-5639
- Country of Publication:
- United States
- Language:
- English
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