tag:blogger.com,1999:blog-1938680703532237797.post6397206993161957097..comments2016-06-02T00:14:23.402-07:00Comments on Spherical Harmonics: Whose entropy is it anyway? (Part 1: Boltzmann, Shannon, and Gibbs )Chris Adamihttps://plus.google.com/109210086614267908715noreply@blogger.comBlogger3125tag:blogger.com,1999:blog-1938680703532237797.post-40684627229700063292014-06-09T12:08:34.151-07:002014-06-09T12:08:34.151-07:00Great article Chris - thanks for the very clear (a...Great article Chris - thanks for the very clear (and at times humorous) explanation of entropy. <br />P.S: I am often amazed by von Neumann's intelligence; the man was clearly a genius of unparalleled capacity.Sumit Tiwarihttp://www.blogger.com/profile/14479710075005405382noreply@blogger.comtag:blogger.com,1999:blog-1938680703532237797.post-80392402716953269442014-06-09T06:57:43.260-07:002014-06-09T06:57:43.260-07:00Hi Nigel, thanks for the comment. The second part ...Hi Nigel, thanks for the comment. The second part was mostly written when I posted the first part, but I do write a bit about equilibrium assumptions (but not detailed balance). That ergodicity is important is clear already from the "perfume bottle" experiment in Part 2, but I don't talk about it directly. Perhaps I'll talk more about Jaynes in a subsequent part. Chris Adamihttp://www.blogger.com/profile/02447043823985095127noreply@blogger.comtag:blogger.com,1999:blog-1938680703532237797.post-5501988555428831932014-06-07T16:13:28.611-07:002014-06-07T16:13:28.611-07:00Hi Chris, enjoyed this post as ever. I'm glad...Hi Chris, enjoyed this post as ever. I'm glad you're tacklng this topic because it is tricky and subtle and needs a clear explanation from someone! I hope you'll get to the part that always causes me difficulty: where does the assumption of thermal equilibrium come into the Shannon theorem, what corresponds to detailed balance, in that, and in the information theory derivation of Gibbs distribution (à la Jaynes), where is thermal equilibrium and ergodicity etc?Nigel Goldenfeldhttp://www.blogger.com/profile/00646050243915940539noreply@blogger.com