Transport Equation for Small Systems and Nonadditive Entropy

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URI: http://hdl.handle.net/10481/75490
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Author
Megías Fernández, Eugenio
Editorial
MDPI
Materia
Transport equation
 
Nonextensive statistics
 
Phase space
 
Date
2022-05-10
Referencia bibliográfica
Megías, E.; Lima, J.A.S.; Deppman, A. Transport Equation for Small Systems and Nonadditive Entropy. Mathematics 2022, 10, 1625. [https://doi.org/10.3390/math10101625]
Sponsorship
Project Instituto Nacional de Ciencia e Tecnologia-Fisica Nuclear Aplicada INCT-FNA 464898/2014-5; Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPQ) 304244/2018-0; Project INCT-FNA 464 898/20145; Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP) 2016/17612-7 MCIN/AEI PID2020114767GB-I00; FEDER/Junta de AndaluciaConsejeria de Economia y Conocimiento 2014-2020 Operational Program A-FQM178UGR18; Junta de Andalucia FQM-225; European Commission SOMM17/6105/UGR; Ramon y Cajal Program of the Spanish MCIN RYC-2016-20678; Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPQ) 310038/2019-7; Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior (CAPES) 88881.068485/2014; Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP) 11/51676-9
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.
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Atribución 3.0 España
Except where otherwise noted, this item's license is described as Atribución 3.0 España