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Transport Equation for Small Systems and Nonadditive Entropy

dc.contributor.authorMegías Fernández, Eugenio 
dc.date.accessioned2022-06-15T06:42:44Z
dc.date.available2022-06-15T06:42:44Z
dc.date.issued2022-05-10
dc.identifier.citationMegías, 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]es_ES
dc.identifier.urihttp://hdl.handle.net/10481/75490
dc.descriptionA.D. is supported by the Project Instituto Nacional de Ciencia e Tecnologia-Fisica Nuclear Aplicada INCT-FNA) Proc. No. 464898/2014-5, by the Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq-Brazil), Grant 304244/2018-0, by Project INCT-FNA Proc. No. 464 898/20145, and by FAPESP, Brazil, Grant 2016/17612-7. The work of E.M. is supported by the project PID2020114767GB-I00 financed by MCIN/AEI/10.13039/501100011033, by the FEDER/Junta de AndaluciaConsejeria de Economia y Conocimiento 2014-2020 Operational Program under Grant A-FQM178UGR18, by Junta de Andalucia under Grant FQM-225, and by the Consejeria de Conocimiento, Investigacion y Universidad of the Junta de Andalucia and European Regional Development Fund (ERDF) under Grant SOMM17/6105/UGR. The research of E.M. is also supported by the Ramon y Cajal Program of the Spanish MCIN under Grant RYC-2016-20678. J.A.S.L. is partially supported by CNPq (310038/2019-7), CAPES (88881.068485/2014), and FAPESP (LLAMA Project No. 11/51676-9).es_ES
dc.description.abstractThe 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.es_ES
dc.description.sponsorshipProject Instituto Nacional de Ciencia e Tecnologia-Fisica Nuclear Aplicada INCT-FNA 464898/2014-5es_ES
dc.description.sponsorshipConselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPQ) 304244/2018-0es_ES
dc.description.sponsorshipProject INCT-FNA 464 898/20145es_ES
dc.description.sponsorshipFundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP) 2016/17612-7 MCIN/AEI PID2020114767GB-I00es_ES
dc.description.sponsorshipFEDER/Junta de AndaluciaConsejeria de Economia y Conocimiento 2014-2020 Operational Program A-FQM178UGR18es_ES
dc.description.sponsorshipJunta de Andalucia FQM-225es_ES
dc.description.sponsorshipEuropean Commission SOMM17/6105/UGRes_ES
dc.description.sponsorshipRamon y Cajal Program of the Spanish MCIN RYC-2016-20678es_ES
dc.description.sponsorshipConselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPQ) 310038/2019-7es_ES
dc.description.sponsorshipCoordenacao de Aperfeicoamento de Pessoal de Nivel Superior (CAPES) 88881.068485/2014es_ES
dc.description.sponsorshipFundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP) 11/51676-9es_ES
dc.language.isoenges_ES
dc.publisherMDPIes_ES
dc.rightsAtribución 3.0 España*
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subjectTransport equationes_ES
dc.subjectNonextensive statisticses_ES
dc.subjectPhase spacees_ES
dc.titleTransport Equation for Small Systems and Nonadditive Entropyes_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses_ES
dc.identifier.doi10.3390/math10101625
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersiones_ES


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