Is the Voronoi Entropy a True Entropy? Comments on "Entropy, Shannon's Measure of Information and Boltzmann's H-Theorem", Entropy 2017, 19, 48

Edward Bormashenko; Mark Frenkel; Irina Legchenkova

doi:10.3390/e21030251

Is the Voronoi Entropy a True Entropy? Comments on "Entropy, Shannon's Measure of Information and Boltzmann's H-Theorem", Entropy 2017, 19, 48

Entropy (Basel). 2019 Mar 6;21(3):251. doi: 10.3390/e21030251.

Authors

Edward Bormashenko¹, Mark Frenkel¹, Irina Legchenkova¹

Affiliation

¹ Engineering Faculty, Chemical Engineering, Biotechnology and Materials Department, Ariel University, P.O.B. 3, 407000 Ariel, Israel.

Abstract

The goal of this comment note is to express our considerations about the recent paper by A. Ben Naim (Entropy 2017, 19, 48). We strongly support the distinguishing between the Shannon measure of information and the thermodynamic entropy, suggested in the paper. We demonstrate that the Voronoi entropy should also be clearly distinguished from the entropy of a two-dimensional gas. Actually, the Voronoi entropy being an intensive value is the averaged Shannon measure of ordering for a given pattern.

Keywords: Shannon measure of information; Voronoi entropy; intensive value; pattern; thermodynamic entropy.