No. The thing you have to understand is that the air from sea level to the stratosphere, to a first approximation in stable conditions, has the same energy. There are local discontinuities where some air is slightly warmer than other air and so it goes up but by and large its a stable system.
That said when you have a boundary layer between two areas with different thermal properties you get wind between them. If you like to go sailing as I do you will recognize this as 'lake effect' wind where the sun sets and the water dumps heat more slowly than the land, so you get an offshore breeze. Or in the morning when land heats up faster than the water and you get an onshore breeze. That occurs because there is a net energy differential between the two masses. There is no energy differential between higher altitude air and lower altitude air absent other weather effects (like water condensing from vapor to liquid or liquid to ice)
>first approximation in stable conditions, has the same energy <
Nonsense, unless maybe you mean the same mass of air (are you including water vapour, particulates, hire are you accounting for differences in constituency [eg ozone levels]); even then it seems highly unlikely.
Or by stable conditions do you mean ones that don't exist in reality (and in which case how is that useful as a model for the real atmosphere?).
That said when you have a boundary layer between two areas with different thermal properties you get wind between them. If you like to go sailing as I do you will recognize this as 'lake effect' wind where the sun sets and the water dumps heat more slowly than the land, so you get an offshore breeze. Or in the morning when land heats up faster than the water and you get an onshore breeze. That occurs because there is a net energy differential between the two masses. There is no energy differential between higher altitude air and lower altitude air absent other weather effects (like water condensing from vapor to liquid or liquid to ice)