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> In the case we are considering, it doesn’t, but it could with other materials.

Sorry, I said something subtle and easy to miss and also made a confusing typo, writing too fast.

"average distance a [nucleus-hitting neutron]"

As in, as more material is added, the percent of neutrons that successfully collide and don't just fly out increases. But, for the class of nucleus-hitting neutrons, the average distance prior to collision increases.

If the neutron loses energy as it travels, then as the average distance increases I suppose the probability of splitting the collidee nucleus decreases. So as the class increases in size, its rate of nucleus splitting may fall below the threshold, which bounds the useful size increase.

Perhaps this doesn't occur until the object has grown in size way past the point of basically guaranteed criticality, I haven't done the math, just curious since GP's statement sounded as if neutrons do not lose energy across any distance and the object could therefore could be increased to an arbitrary size while maintaining the same qualitative per-iteration behavior, and I find that surprising.



> If the neutron loses energy as it travels

Excluding collisions, it does not. As far as the neutron is considered, it's traveling through empty space, just as if it was in vacuum.

> I suppose the probability of splitting the collidee nucleus decreases.

In this regime, probability of splitting a nucleus goes up as energy decreases.




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