[im3w1l]

I think this is not what I meant. Let me restate your point as I understand it with a more well known example.

Melt a piece of ice and it will turn into water. Cool it and it will turn back into ice. The bigger idea here is that, while it's highly improbable that heat is applied to ice, we can choose to apply heat to ice. (...)

When you are heating the ice, energy and entropy from the environment is stored in the ice. When you are freezing it, energy and entropy from the water is transferred away to the environment.

This is a different thing from what I was talking about.