I have some questions about the ideal gas in different ensembles. Often boxes with moving balls are used to explain an ensemble. Now I am confused what the difference would be in the corresponding figures for the microcanonical, canonical and pressure ensembles. I think the main reason for my confusion is "the equivalence" of temperature and kinetic energy, that is also the only energy.

  1. Do all balls in microcanonical ensemble have equal velocities (and in canonical only the average is equal)?
  2. How is it possible that the temperature is not constant in microcanonical ensemble (and energy not constant in canonical)?
  3. How can energy be transfered in canonical ensemble respecting that no particles can leave the different boxes?
  4. How would the gas look like in pressure ensemble?

Thanks a lot in advance!


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