Transport Equation for Small Systems and Nonadditive Entropy

Eugenio Megías, Jose A. S. Lima and Airton Deppman
Additional contact information
Eugenio Megías: Departamento de Física Atómica, Molecular y Nuclear and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Avenida de Fuente Nueva s/n, 18071 Granada, Spain
Jose A. S. Lima: Instituto de Astronomia e Geofísica da Universidade de São Paulo, Rua do Matão 1371, Butantã, São Paulo 05580-090, SP, Brazil
Airton Deppman: Instituto de Física, Universidade de São Paulo, Rua do Matão 1371, Butantã, São Paulo 05580-090, SP, Brazil

Mathematics, 2022, vol. 10, issue 10, 1-9

Abstract: The nonadditive entropy introduced by Tsallis in 1988 has been used in different fields and generalizes the Boltzmann entropy, extending the possibilities of the application of the statistical methods developed in the context of Mechanics. Here, we investigate one of the last points of the theory that is still under discussion: the source term of the nonextensive transport equation. Based on a simple system, we show that the nonadditivity is a direct consequence of the phase space topology and derive the source term that leads to the nonextensive transport equation.

Keywords: transport equation; nonextensive statistics; phase space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/10/1625/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/10/1625/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:10:p:1625-:d:812368

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().