<rdf:RDF xmlns:rdf="http://www.openarchives.org/OAI/2.0/rdf/" xmlns:ow="http://www.ontoweb.org/ontology/1#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:ds="http://dspace.org/ds/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/rdf/ http://www.openarchives.org/OAI/2.0/rdf.xsd">
   <ow:Publication rdf:about="oai:digibug.ugr.es:10481/75490">
      <dc:title>Transport Equation for Small Systems and Nonadditive Entropy</dc:title>
      <dc:creator>Megías Fernández, Eugenio</dc:creator>
      <dc:subject>Transport equation</dc:subject>
      <dc:subject>Nonextensive statistics</dc:subject>
      <dc:subject>Phase space</dc:subject>
      <dc:description>A.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).</dc:description>
      <dc:description>The nonadditive entropy introduced by Tsallis in 1988 has been used in different fields&#xd;
and generalizes the Boltzmann entropy, extending the possibilities of the application of the statistical&#xd;
methods developed in the context of Mechanics. Here, we investigate one of the last points of the&#xd;
theory that is still under discussion: the source term of the nonextensive transport equation. Based on&#xd;
a simple system, we show that the nonadditivity is a direct consequence of the phase space topology&#xd;
and derive the source term that leads to the nonextensive transport equation.</dc:description>
      <dc:date>2022-06-15T06:42:44Z</dc:date>
      <dc:date>2022-06-15T06:42:44Z</dc:date>
      <dc:date>2022-05-10</dc:date>
      <dc:type>journal article</dc:type>
      <dc:identifier>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]</dc:identifier>
      <dc:identifier>http://hdl.handle.net/10481/75490</dc:identifier>
      <dc:identifier>10.3390/math10101625</dc:identifier>
      <dc:language>eng</dc:language>
      <dc:rights>http://creativecommons.org/licenses/by/3.0/es/</dc:rights>
      <dc:rights>open access</dc:rights>
      <dc:rights>Atribución 3.0 España</dc:rights>
      <dc:publisher>MDPI</dc:publisher>
   </ow:Publication>
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