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