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arXiv · 2106.10921

The Shannon-McMillan Theorem Proves Convergence to Equiprobability of Boltzmann's Microstates

Arnaldo Spalvieri
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Abstract

The paper shows that, for large number of particles and for distinguishable and non-interacting identical particles, convergence to equiprobability of the $W$ microstates of the famous Boltzmann-Planck entropy formula $S=k \log(W)$ is proved by the Shannon-McMillan theorem, a cornerstone of information theory. This result further strengthens the link between information theory and statistical mechanics.

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Arnaldo Spalvieri. 2021-06-21. The Shannon-McMillan Theorem Proves Convergence to Equiprobability of Boltzmann's Microstates. https://doi.org/10.3390/e23070899

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