Question

How to efficiently cool down simulated gas by time-dependent potential?

Answer 1

$hello$

your answer is - - - - -

the temperature of the wall can be whatever you chhose ( you know the resulting maxwell -boltzmann distribution) and the heat capacity would be infite as with all thermodynamics reservoir)...

the temperature of the wall has initially nothing to do with the temperature of your gas , but eventually the gas will be equilibrium...

$thanks$