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

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.

arXiv comment5 pages

References in corpus (1)

• On the (Boltzmann) Entropy of Nonequilibrium Systems