I'm imagining something like a fishtank of oil (on Arrakis, that's probably cheaper than water) as a chaotic system to generate the inputs. The fishtank is set up so it isn't insulated from the vibrations of the centrifuge. Install some limiters so it doesn't run out of control, and there's the prototype.
(Now, since I don't have a Mentat, I'll have to switch it on and see what goes wrong.)
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(Now, since I don't have a Mentat, I'll have to switch it on and see what goes wrong.)