So the extra energy absorbed by GHGs has all gone to increasing atmospheric height which has converted that initial kinetic energy to potential energy where it will remain until the atmosphere contracts again. (newclimatemodel.com)
That is governed by the Gas Laws and the energy needed in order to maintain atmospheric height also requires a surface temperature enhancement. (newclimatemodel.com)
On the other hand we have the mechanical process of lifting the atmospheric gas molecules off the ground and thereafter maintaining atmospheric height. (newclimatemodel.com)