Interesting, thanks! Two quick questions about energy and space:
Typo? Eb > kb.ln2 == Eb > kb.T.ln2
« Shrinking the brain by a factor of 10 at the same power output would result in a 3x temp increase to around 1180K »: shouldn’t we take into account that the less volume the lower total in wire lenght, hence less power output?
shouldn’t we take into account that the less volume the lower total in wire lenght, hence less power output?
Well that’s why I qualified with “at the same power output”. Computation appears to use roughly about as much power as interconnect, so reducing size wouldn’t decrease power output much. But even if that wasn’t true—if say compute had zero contribution—that would just result in a ~1.78x temp increase instead of a ~3.16x increase, for 10x radius reduction. (Because power density scales with r−2 whereas wire volume/power scales with r )
Interesting, thanks! Two quick questions about energy and space:
Typo? Eb > kb.ln2 == Eb > kb.T.ln2
« Shrinking the brain by a factor of 10 at the same power output would result in a 3x temp increase to around 1180K »: shouldn’t we take into account that the less volume the lower total in wire lenght, hence less power output?
Thanks.
Well that’s why I qualified with “at the same power output”. Computation appears to use roughly about as much power as interconnect, so reducing size wouldn’t decrease power output much. But even if that wasn’t true—if say compute had zero contribution—that would just result in a ~1.78x temp increase instead of a ~3.16x increase, for 10x radius reduction. (Because power density scales with r−2 whereas wire volume/power scales with r )
Good point, thanks.