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

Harvey R. Brown, Wayne Myrvold
2008 arXiv   pre-print
A comparison is made of the traditional Loschmidt (reversibility) and Zermelo (recurrence) objections to Boltzmann's H-theorem, and its simplified variant in the Ehrenfests' 1912 wind-tree model. The little-cited 1896 (pre-recurrence) objection of Zermelo (similar to an 1889 argument due to Poincare) is also analysed. Significant differences between the objections are highlighted, and several old and modern misconceptions concerning both them and the H-theorem are clarified. We give particular
more » ... mphasis to the radical nature of Poincare's and Zermelo's attack, and the importance of the shift in Boltzmann's thinking in response to the objections as a whole.
arXiv:0809.1304v1 fatcat:i7v53nd42zeqvehmn4hhx2y3ie