You are essentially right. The point is that 'average kinetic energy of particles' is just a special case that happens to correspond to the Jaynes-style definition, for some types of systems. But the Jaynes-style definition is the 'true' definition that is valid for all systems.
But if you happen to know more about it, it is still the case that almost all interesting properties follow from the coarse-grained velocity distribution (the gas will still melt icecubes and so on)
Again, as I mentioned in my previous replies, the gas will melt ice cubes, but is only in thermal equilibrium with 0 K ice cubes.
Again, as I mentioned in my previous replies, the gas will melt ice cubes, but is only in thermal equilibrium with 0 K ice cubes.
This claim seems dubious to me.
Like, the "original, naive" definition of thermal equilibrium is that two systems are out of equilibrium if, when put them in contact with each other, heat will flow from one to the other. If you have a 0K icecube one one hand and a gas and piece of RAM encoding that state of the gas on the other, then they certainly do not seem to be in equilibrium in this sense: when you remove the ...
If it's worth saying, but not worth its own post (even in Discussion), then it goes here.
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