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michael_nielsen's profile
michael_nielsen
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michael_nielsen

@michael_nielsen

Searching for the numinous. Co-purveyor of https://quantum.country/ 

San Francisco, CA
michaelnielsen.org
Joined July 2008

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    michael_nielsen‏ @michael_nielsen Feb 16
    • Report Tweet

    I tried to write out an explanation of how the heating due to greenhouse gases works, and realized there's a big hole in my understanding. Can someone who understand the detailed physics help or point me to a really clear and thorough explanation?

    7:45 PM - 16 Feb 2019
    • 76 Likes
    • Zain Munir Patel Raj Balakrishnan Dan Fredman governor yashthakkar Srikar Mutnuri Evan Sandhoefner Usman Ghani
    15 replies 0 retweets 76 likes
      1. New conversation
      2. michael_nielsen‏ @michael_nielsen Feb 16
        • Report Tweet

        A very simple model (neglecting many effects, but should still work) is as follows: solar radiation comes in. Some is reflected off clouds, while some passes through the atmosphere. Some reflects immediately back from the Earth, and passes back through the atmosphere.

        1 reply 0 retweets 3 likes
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      3. michael_nielsen‏ @michael_nielsen Feb 16
        • Report Tweet

        But the Earth also absorbs some of the radiation, heating the Earth. At equilibrium that energy is later re-radiated. Crucially, that's at infrared frequencies, where greenhouse gases make the atmosphere somewhat opaque

        2 replies 0 retweets 2 likes
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      4. michael_nielsen‏ @michael_nielsen Feb 16
        • Report Tweet

        Intuitively, the GHGs makes the atmosphere a little like a one-way "blanket", allowing some energy through (at optical and UV frequencies), but making it harder for the infrared radiation to get back out again.

        1 reply 0 retweets 5 likes
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      5. michael_nielsen‏ @michael_nielsen Feb 16
        • Report Tweet

        The net effect is for the Earth to have to heat up a little extra, thus producing a little more infrared so that at equilibrium the total amount of energy escaping is the same as the total amount of energy incident.

        1 reply 0 retweets 3 likes
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      6. michael_nielsen‏ @michael_nielsen Feb 16
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        What I don't understand: the IR that's being blocked by the GHGs is energy which has already been absorbed by the Earth. So this shouldn't change the Earth's overall absorbivity, and I don't see how it could change the Earth's temperature.

        3 replies 0 retweets 3 likes
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      7. michael_nielsen‏ @michael_nielsen Feb 16
        • Report Tweet

        Twitter may not be the best medium for this(??) But if someone who understands this well can point me to a good explanation, I'd appreciate it. Thanks!

        6 replies 0 retweets 3 likes
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      8. michael_nielsen‏ @michael_nielsen Feb 16
        • Report Tweet

        @AndrewDohertyQu @dabacon @worrydream @patrickc Do you know?

        2 replies 0 retweets 1 like
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      9. michael_nielsen‏ @michael_nielsen Feb 16
        • Report Tweet

        I omitted the technical details, but it's this: the temperature should be set by: incoming energy flux = epsilon sigma T^4, where epsilon is the emissivity, sigma is the Stefan-Boltzmann constant, and T is the temperature.

        4 replies 0 retweets 0 likes
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      10. michael_nielsen‏ @michael_nielsen Feb 16
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        Since anything absorbed by the GHGs has already been absorbed by the Earth, the absorptivity (and thus the emissivity) shouldn't be changed by the GHGs, and so I don't see how T can be changed by the GHGs.

        5 replies 0 retweets 0 likes
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      11. michael_nielsen‏ @michael_nielsen Feb 16
        • Report Tweet

        I should have said earlier in the thread, but the key thing I'm worried about: why is epsilon in the Stefan-Boltzmann relation changed, since net absorptivity apparently isn't? Or is S-B the wrong way to be thinking?

        4 replies 0 retweets 0 likes
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      12. michael_nielsen‏ @michael_nielsen Feb 16
        • Report Tweet

        michael_nielsen Retweeted michael_nielsen

        Update: I believe @PESimeon has isolated the source of my confusion. A summary (more or less) can be found here:https://twitter.com/michael_nielsen/status/1096990267259809793 …

        michael_nielsen added,

        michael_nielsen @michael_nielsen
        Replying to @michael_nielsen @PESimeon
        In more detail, the temperature of the Earth+atmosphere system isn't changed by GHGs (since the absorptivity and thus emissivity isn't changed, and ignoring the role of water vapour in setting emissivity). But the ground temperature may well be.
        1 reply 1 retweet 15 likes
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      13. michael_nielsen‏ @michael_nielsen Feb 16
        • Report Tweet

        Thankyou for all the comments and the links. It's very much appreciated, and has clarified matters greatly for me, especially (though certainly not just) in the part of the thread linked in the last tweet.

        2 replies 0 retweets 7 likes
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      14. End of conversation

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