PLG ""I am not sure a corium turns off by itself once it becomes active after a criticality,"
there are a couple turnoff mechanisms.
One is "Doppler Broadening", when the corium gets very hot it is more likely to absorb neutrons in a non-fission neutron capture. That's called "Doppler" and tends to limit a runaway. Google "Triga reactor" and watch the youtubes.
Another is 'boil out' , water's ability to moderate is a function of its temperature because the molecules are closer together when it's cold. When they spread apart into steam the neutrons don't get slowed down so well and are more likely to get absorbed in a non-fission capture in fuel or in reactor structural steel.. Anything increases nonfission capture fraction is a shutdown mechanism.
Another is 'displacement' , a euphemism... a steam explosion will disassemble things spreading the fissile material out, increasing "neutron leakage". 'Leakage' is the probability a neutron leaves the neighborhood without hitting a fissile nucleus. Anything that increases leakage is a shutdown mechanism.
Here is a dirt simple primer on reactor physics (that's been posted before, old hands kindly forgive repeat for interested newcomer.) Really it is a not complex subject.
http://www.if.uidaho.edu/~gunner/ME443-543/LectureNotes/ReactorPhysics.pdf
I took a course forty something years ago and this was a great re-introduction. Since you have access to nuke engineers i'd suggest you print it out - you can absorb it easily in one evening if your friends will help you out with vocabulary.
and here's a paper on corium reactivity that's got way too much math for me. it's some fellow's PHD thesis. I found it direct via Google so its not like i snooped the guys' emails. It is several places around 'net now. You'll find his calculations used in the Nureg 5653.
http://list.ans.org/pipermail/ncsd-fukushima/attachments/20110318/f20efbc8/thesis-0001.pdf
Your engineer friends may understand it, mostly i don't. It supports the self regulating nature of water moderated fission though.
Now i think it was zapperzero used a phrase some posts back re corium ::: ".. still stuck to the walls..."
uhhh, zz , was that just toying with words? do you know something i dont? Seen any analysis of what was on that 1Sv piece of concrete rubble?
SteveE has it ::: ""Frustrating as it is, I think I am just going to have to live with the fact that the answers we seek on a whole range of fronts are simply not available with the data we have, and apart from getting the chance to maybe find out the state of containment and cores one day, there is no indication that better quality data will ever become available to us. ""
one knows there were aircraft samples of plumes and better photos around the buildings.
TPTB know.
As a mere civilian i have to wait for the NOVA show.
old jim