THE PHYSICS AND MATHEMATICAL ANALYSIS FOR THE TUT-T5 MONTE CARLO CODE
Open Access
- 1 January 1960
- report
- Published by Office of Scientific and Technical Information (OSTI)
Abstract
The TUT-T5 code for the IBM-704 estimates neutron capture probabilities in a one-energy, two-dimensional, rectangular cell model, using a Monte Carlo method. The problem and its solution are described in mathematical terms. The transport equation arising from the idealized physical model used in the code is derived and the problem is stated in terms of the solution of this equation. The validity of the Monte Carlo solution is established by proving that the random variables involved are unbiased for processes with convergent Neumann series. These random variables sum the distances travelled by randomly selected particle histories and use these sums to estimate flux integrals over the various regions. Capture probabilities are then obtained through multiplication by the appropriate capture cross sectione. The integrals which express the variances of these random variables appear too complicated to handle by analytic methods. (auth)Keywords
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