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I'm sorry but this is just wrong. The snowflake has lower entropy, and the closed system has higher entropy (by 2nd law), so not sure this shows anything. *Any* local reduction in entropy (e.g "creation of order") requires global increase or maintenance of entropy.
You're completely misreading the tweet though. The snowflake + surrounding air has higher entropy than snowflake + surrounding air system it comes from. That's the 2nd law. That's right in the tweet.
The tweet defines "water plus air" as the "system" and references the second law. You can't get clearer than that. Yes I could have said "snowflake plus surrounding air" a second time but that's over the character limit and unnecessary. Christ
I said it elsewhere, you can make the same point in many other ways, e.g. some guy sealed up in an untidy room who tidies it up. The entropy of the room increases but it looks increasingly more organized What's nice about crystal formation is that it doesn't involve intelligence
I misread your tweet that way as well, then deleted my tweet after I read it more carefully. It's worded slightly awkwardly.
I don't get your point then. 2nd law entails that the creation of any order in a closed system yields increase of entropy in that system, so what is surprising/counterintuitive about the fact that this is true of snowflake formation in particular?
The point is that our perception of order isn't the same as thermodynamic entropy. That's it. A disorderly looking thing can be low entropy and an orderly looking thing can be high entropy. I repeat myself here, it's all in the original tweet.
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