Sorry, I don't understand your search. ×
Back to Search Start Over

Aspects of Quantum Statistical Mechanics: Fractional and Tsallis Approaches

Authors :
Ervin Kaminski Lenzi
Luiz Roberto Evangelista
Luciano Rodrigues da Silva
Source :
Mathematics, Vol 11, Iss 12, p 2777 (2023)
Publication Year :
2023
Publisher :
MDPI AG, 2023.

Abstract

We investigated two different approaches, which can be used to extend the standard quantum statistical mechanics. One is based on fractional calculus, and the other considers the extension of the concept of entropy, i.e., the Tsallis statistics. We reviewed and discussed some of the main properties of these approaches and used the thermal Green function formalism to perform the developments, simultaneously allowing us to analyze each case’s dynamics and thermodynamics aspects. In particular, the results allow us to understand how the extensions change the behavior of some quantities, particularly fluctuations related to the system.

Details

Language :
English
ISSN :
22277390
Volume :
11
Issue :
12
Database :
Directory of Open Access Journals
Journal :
Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.064e84caab1b4daab62694d12130c0eb
Document Type :
article
Full Text :
https://doi.org/10.3390/math11122777