Information-Theoretic Typicality and Asymptotic Equipartition Property of Boltzmann’s Accessible Microstates| Chapter 2 | New Frontiers in Physical Science Research Vol. 7

 The paper shows that, for a lot of particles and for discernible and noninteracting identical particles, union to equiprobability of the W microstates of the famous Boltzmann-Planck deterioration formula S = k record(W) is proved, in the thermodynamical limit, by the asymptotic equipartition possessions, a cornerstone of statistical theory about information processing. Specifically, the paper shows that the W accessible microstates about the Boltzmann-Planck entropy formula are the details of the information theoretical typical set. Typicality of approachable microstates, which has been then invoked earlier as a consequence of the feeble law of large number, is debated here for the first show up the information-theoretical perspective. This result further strengthens the link between statistical theory about information processing and statistical mechanics.

Author(s) Details:

Arnaldo Spalvieri,
Dipartimento di Elettronica, Informazione e Bioingegneria (DEIB), Politecnico di Milano, Piazza L. Da Vinci, 32, 20133, Milano, Italy.

Please see the link here: https://stm.bookpi.org/NFPSR-V7/article/view/9411