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

被引：0

作者：

Spalvieri, Arnaldo ^{[1
]}

机构：

[1] Politecn Milan, Dipartimento Elettron Informaz & Bioingn, I-20133 Milan, Italy

来源：

ENTROPY | 2021年 / 23卷 / 07期

关键词：

Boltzmann-Planck entropy formula; Shannon-McMillan theorem; equiprobability of microstates;

D O I：

10.3390/e23070899

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper shows that, for a 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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