Monte Carlo Transport Calculations On An Ultracomputer

Cover Monte Carlo Transport Calculations On An Ultracomputer
Monte Carlo Transport Calculations On An Ultracomputer
Y Q Zhong
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Three alternatives were used for the distribution of the random time mentioned above: The exponential distribution, i. E.
p(t) = e"*^, t > (i) or the geometrical distribution, i. E.
p(t=n) = p^-^ p^, (n = 1, 2, ... (ii) where p^ + Pg = 1, p^, is the capture probability and Pg is the survival probability in one collision, or a composite of (i) and (ii), viz. , n t = y t. , (ill) with each t^ distributed as e"*", and n following the law given in (ii). Usually, this case is closest to reality.
Tab
...le 7-A gives the estimated efficiency for the above three distributions and for the preassigned equal number of summands with -10- varlous numbers of PE's (denoted as N) and coca! histories M = 128 or 1024. As a Monte Carlo calculation, 20 experiments were performed for each situation, and the average (the ratio of the total sums, not the mean value of the ratio) is taken as the estimate. Tnere is no significant difference among the efficiencies corresponding to the three different distributions.

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