H-theorem | Wikipedia audio article
Channel: wikipedia tts
Date: 2018-12-29

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/H-theorem


00:01:29 1 Etymology and pronunciation
00:02:48 2 Definition and meaning of Boltzmann's iH/i
00:05:12 3 Boltzmann's iH/i theorem
00:06:47 4 Impact
00:08:08 5 Criticism and exceptions
00:08:44 5.1 Loschmidt's paradox
00:10:40 5.2 Spin echo
00:12:15 5.3 Poincaré recurrence
00:14:42 5.4 Fluctuations of iH/i in small systems
00:15:46 6 Connection to information theory
00:16:51 7 Tolman's iH/i-theorem
00:17:26 7.1 Classical mechanical
00:24:08 7.2 Quantum mechanical
00:27:11 8 Gibbs' iH/i-theorem
00:30:32 9 See also
00:35:32 10 Notes



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SUMMARY
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In classical statistical mechanics, the  H-theorem, introduced by Ludwig Boltzmann in 1872, describes the tendency to decrease in the quantity H (defined below) in a nearly-ideal gas of molecules. As this quantity H was meant to represent the entropy of thermodynamics, the H-theorem was an early demonstration of the power of statistical mechanics as it claimed to derive the second law of thermodynamics—a statement about fundamentally irreversible processes—from reversible microscopic mechanics. It is thought to prove the second law of thermodynamics, albeit under the assumption of low-entropy initial conditions.The H-theorem is a natural consequence of the kinetic equation derived by Boltzmann that has come to be known as Boltzmann's equation. The H-theorem has led to considerable discussion about its actual implications, with major themes being:

What is entropy? In what sense does Boltzmann's quantity H correspond to the thermodynamic entropy?
Are the assumptions (especially the assumption of molecular chaos) behind Boltzmann's equation too strong? When are these assumptions violated?