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i was just making a pb&j sandwich and i was thinking
what if when you mix them together it's like a random displacement of atoms
so with a bunch of random peanut butter atoms and jelly atoms the mixture is probably about 50/50
so if you mix them long enough you have every possible combination of peanut butter atoms and jelly atoms
but some combinations will inevitably lead to different results
like if you mix the peanut butter and jelly after a while they blend together evenly
but if you keep mixing will they always remain mixed evenly??
if you mix for infinite amount of time will they eventually ever go back to being separate
like when you shuffle a deck of cards the same way enough times they go back to being not shuffled
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>>8727759
"emulsification"
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It would eventually reach every possible state but it would take an absurdly long time. Like, it would take much longer than the lifespan of the universe from creation to heat death before you had the exact same configuration repeated
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x! = # of combinations, x = # of atoms
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>>8727858
ha, no. That would imply that all of the atoms are in a string.
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>>8727759
ask /ck/, they're good at this kind of stuff
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This board still sucks huh?
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If you treat it like gases mixing in a container you can approximate with statistical mechanics that it is extremely likely that it stays in a configuration very close to being evenly mixed
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>>8727759
There are no peanut butter atoms.
There are no peanut butter molecules.
There is not even a clear definition for what chemical percentage constitutes/defines peanut butter or grape jelly.
but even homogenized peanut butter and jelly as its defined commercially will separate.
Im sure homogenized peanut butter and jelly, would too.
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>>8727759
if i blend a strawberry in a blender for infinite time will it eventually become whole again
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There's a theorem from Riemann that basically says what your asking
Yes, after enough random "mixing" they'll eventually return to their original states
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