Comment on Chaos

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sus@programming.dev ⁨3⁩ ⁨days⁩ ago

Think of a box with 4 particles a, b, c and d. If every particle is on the left side of the box, then there is only 1 way to divide them up. [(a, b, c, d), ()]

If there are 2 particles on the left side of the box and 2 particles on the right side of the box, then there are 6 ways to divide them up:

[(a, b), (c, d)] [(a, c), (b, d)] [(a, d), (b, c)] [(b, c), (a, d)] [(b, d), (a, c)] [(c, d), (a, b)]

In total you’ve got 16 possible arrangements, the 2-2 state has the “highest” entropy because you’re more likely to end up with the one that takes up 6/16 arrangements.

Maybe it’s called order because there are more ways to strew your clothes across the floor than ways to stack them up neatly in rows and there’s nothing deeper to it than that.

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