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Penn Engineers Discover a New Class of Materials That Passively Harvest Water from Air
(blog.seas.upenn.edu)
This is a most excellent place for technology news and articles.
I don't at all understand why the second law of thermodynamics is being invoked. Nonetheless, capillary condensation is already a well-studied phenomenon. As the scientific article itself notes, the innovation here over traditional capillary condensation would be the ability to easily remove the water once it's condensed.
Re: Entropy:
The entropy of a little water mixed with air is higher. As with anything that mixes a little.
Condensation is exothermic, though, so the material will heat up slightly