Version 1
: Received: 23 January 2024 / Approved: 7 February 2024 / Online: 7 February 2024 (08:12:48 CET)
How to cite:
Pennini, F.; Plastino, A. Direct Link Between Energy and Information via Fisher’s Measure. Preprints2024, 2024020425. https://doi.org/10.20944/preprints202402.0425.v1
Pennini, F.; Plastino, A. Direct Link Between Energy and Information via Fisher’s Measure. Preprints 2024, 2024020425. https://doi.org/10.20944/preprints202402.0425.v1
Pennini, F.; Plastino, A. Direct Link Between Energy and Information via Fisher’s Measure. Preprints2024, 2024020425. https://doi.org/10.20944/preprints202402.0425.v1
APA Style
Pennini, F., & Plastino, A. (2024). Direct Link Between Energy and Information via Fisher’s Measure. Preprints. https://doi.org/10.20944/preprints202402.0425.v1
Chicago/Turabian Style
Pennini, F. and Angelo Plastino. 2024 "Direct Link Between Energy and Information via Fisher’s Measure" Preprints. https://doi.org/10.20944/preprints202402.0425.v1
Abstract
Energy and information are fundamental concepts that play crucial roles in the foundations of science, each contributing to different aspects of our understanding of the natural world. Here we encounter that Fisher' measure is able to link them. We also investigate some interesting relations between Fisher's information, Poisson's distribution, and thermal quantifiers in a grand canonical ensemble. These connections permit one to visualize interesting novel artifacts in statistical mechanics. We clearly see them emerge in discussing the ideal gas. For example, we encounter that the Poisson distribution is intrinsically involved in the physics of the ideal gas, and we are able to give a Fisher-estimation of the difference in informational content between the grand canonical and canonical ensembles.
Keywords
Fisher information; Poisson distribution; energy variance
Subject
Physical Sciences, Mathematical Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
