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Brief Review on the Connection between the Micro-Canonical Ensemble and the S_{q}-Canonical Probability Distribution

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## Abstract

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## 1. Introduction

## 2. Probability Distributions Optimizing the ${S}_{q}$ Non-Additive Entropies

## 3. The Micro-Canonical Path towards the ${S}_{q}$-Canonical Distribution

- We have two weakly interacting systems, A and B, jointly described by the micro-canonical ensemble.
- The energy level distribution of subsystem B is quasi-continuous, and the number of states of system B with energy less than or equal to E grows as a power ${E}^{\eta}$.

## 4. When q-Exponentials Lacked a Name: From Maxwell to the Mid 1990s

## 5. The Many Facets of the ${S}_{q}$-Statistics-Micro-Canonical Connection

## 6. Conclusions

## Author Contributions

## Funding

## Data Availability Statement

## Conflicts of Interest

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**MDPI and ACS Style**

Plastino, A.R.; Plastino, A. Brief Review on the Connection between the Micro-Canonical Ensemble and the *S _{q}*-Canonical Probability Distribution.

*Entropy*

**2023**,

*25*, 591. https://doi.org/10.3390/e25040591

**AMA Style**

Plastino AR, Plastino A. Brief Review on the Connection between the Micro-Canonical Ensemble and the *S _{q}*-Canonical Probability Distribution.

*Entropy*. 2023; 25(4):591. https://doi.org/10.3390/e25040591

**Chicago/Turabian Style**

Plastino, Angel R., and Angelo Plastino. 2023. "Brief Review on the Connection between the Micro-Canonical Ensemble and the *S _{q}*-Canonical Probability Distribution"

*Entropy*25, no. 4: 591. https://doi.org/10.3390/e25040591