I'm afraid that I can't go along with the idea of entropy being a measure of order or information - it's too subjective; would you describe some of Jackson Pollack's artworks as increasing or decreasing entropy? If I were to spill a bag of rice on the floor it would normally be described as a reduction of entropy, but if I were to then gather up the rice and then deliberately arrange the grains on the floor in exactly the same pattern it would be regarded as an increase in entropy.

(Statistics isn't subjective and entropy applies to information).

Actually, that's precisely what's going on. When molecules of a hot gas mix with molecules of a cold gas, the overall entropy has increased; you've mixed things up..

Spilling rice is, essentially, increasing entropy because getting them back in the jar would involve energy being put in.

Separating the fast molecules from the slow molecules (go on - try) would be the equivalent of re-sorting out your grains. The

reconstructed pattern would have just as much information introduced (order) to it as if you lined them up into regular rows. Both actions would require energy to achieve, and wouldn't occur by chance (V. unlikely).

Look at a book on statistical thermodynamics; it's part of the explanation of these things.

p.s. I think you're getting defensive about the tidiness of you desk drawer.

Dunno whether thermodynamics can be applied to nuclear situations. I guess it would, only with different statistics.

If JP's painting turned out exactly as he had planned in his mind, then the entropy could be said to be minimal.