What is Entropy?
2024/09/13 by John C. Baez, Baez, John C. · 7 voices
#cond-mat.stat-mech #math-ph
paper · pdf · doi:10.48550/arxiv.2409.09232
Abstract
This short book is an elementary course on entropy, leading up to a calculation of the entropy of hydrogen gas at standard temperature and pressure. Topics covered include information, Shannon entropy and Gibbs entropy, the principle of maximum entropy, the Boltzmann distribution, temperature and coolness, the relation between entropy, expected energy and temperature, the equipartition theorem, the partition function, the relation between expected energy, free energy and entropy, the entropy of a classical harmonic oscillator, the entropy of a classical particle in a box, and the entropy of a classical ideal gas.
Discussions
- Everything you always wanted to ask about entropy but didn't know whom by John Baez. arxiv.org/abs/2409.09232 [bsky, 54 points, 2 comments]
- What Is Entropy? [hn, 33 points, 5 comments]
- Mathematical physicist John Baez wrote a tweetorial on entropy, which he just published as a PDF. Think of it as Everything you wanted to know about entropy but were afraid to ask. The first 25 pages [bsky, 20 points, 0 comments]
- What Is Entropy? – John Baez [hn, 3 points, 1 comments]
- arxiv.org/abs/2409.09232 [bsky, 1 points, 0 comments]
- G2 function arxiv.org/abs/2409.09232 [bsky, 0 points, 0 comments]
- @ johncarlosbaez twitterte zu # Entropy und hat seine Gedanken jetzt als Paper bei # Arxiv veröffentlicht. Der Titel ist genial und der Inhalt mindestens sehr interessant. https:// arxiv.org/pdf/2409. [mastodon, 0 points, 0 comments]
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