Bibliographical reference needed

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The discussion centers on the connection between Boltzmann's H theorem and Poincaré's theorem, highlighting Boltzmann's dissatisfaction with Poincaré's results. Participants seek serious academic references to explore this relationship further, particularly at a level comparable to Arnold's mechanics text. Relevant resources include a chapter on Boltzmann's H theorem and a paper discussing its limitations and the development of statistical mechanics. The inquiry emphasizes the need for scholarly dialogue on these complex topics. Engaging with these references could provide deeper insights into the historical and theoretical implications of their work.
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I'm interested in a serious discussion (at the level of Arnold's mechanics text) about the alleged connection between Boltzmann's H theorem and Poincaré's theorem (rumor has it Boltzmann was pretty upset with Poincaré's result).

Could anybody help me ?
Thank you!
 
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See chapter 6: Boltzmann’s H-Theorem

http://www-proxy.che.ksu.edu/~bgkyle/

and "Boltzmann's H-theorem, its limitations, and the birth of (fully) statistical mechanics"

http://arxiv.org/abs/0809.1304
 
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