By that I mean are there any natural phenomena that use a low entropy energy source to move heat against a temperature gradient. I know that there are a lot of things that can be interpreted as heat engines, like hurricanes, but I wanted to know if the opposite also happens in nature.
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Warm-blooded creatures (mammals and some birds) move heat around their bodies fairly effectively.
Deep-water heat sources set up convection currents that counter the "natural" gradient.