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OP was suggesting a way to artificially control the temperature, so they would artificially add energy to raise temperature.


Nah, the goal isn't to add or subtract energy, just change the entropy. If you have a process that on average doesn't change energy, but makes the distribution of speeds more or less narrow, then that is temperature control. I thought adding a fixed amount of momentum in a random direction (where higher temperature = more momentum) would be a way to control temperature. However, that actually increases energy on average, so you would need some way to lose energy to the environment as @ijustlovemath pointed out.




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