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Transport Equation for Small Systems and Nonadditive Entropy

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Author(s):
Megias, Eugenio ; Lima, Jose A. S. ; Deppman, Airton
Total Authors: 3
Document type: Journal article
Source: MATHEMATICS; v. 10, n. 10, p. 9-pg., 2022-05-01.
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. (AU)

FAPESP's process: 11/51676-9 - LLAMA: a mm/submm radiotelescope in the Andes, in collaboration with Argentina
Grantee:Jacques Raymond Daniel Lépine
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 16/17612-7 - Dynamics of many-body systems IV
Grantee:Arnaldo Gammal
Support Opportunities: Research Projects - Thematic Grants