Renormalized equations for transport in random media with parametric noise
- Univ. of New Mexico, Albuquerque, NM (United States)
Particle transport in rod 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. An exact closure is constructed for semi-infinite media that yields exact equations for the ensemble averaged angular flux components (or 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. For a purely scattering semi-infinite medium, the Fokker-Planck equation is solved to get the interesting result that the flux and current are non-random quantities. It is argued that this observation is independent of the stochastic model for cross section fluctuations in the problem considered here.
- OSTI ID:
- 459185
- Report Number(s):
- CONF-950420--
- Country of Publication:
- United States
- Language:
- English
Similar Records
The joint probability distribution function for transport in a random medium
On the progagation of a charged particle beam in a random medium. I: Gaussian statistics