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dc.contributor.authorDeppman, Airton
dc.contributor.authorFrederico, Tobias
dc.contributor.authorMegías, Eugenio
dc.contributor.authorMenezes, Debora P.
dc.identifier.citationDeppman, A. [et al.]. Fractal Structure and Non-Extensive Statistics. Entropy 2018, 20, 633; doi:10.3390/e20090633.es_ES
dc.description.abstractThe role played by non-extensive thermodynamics in physical systems has been under intense debate for the last decades. With many applications in several areas, the Tsallis statistics have been discussed in detail in many works and triggered an interesting discussion on the most deep meaning of entropy and its role in complex systems. Some possible mechanisms that could give rise to non-extensive statistics have been formulated over the last several years, in particular a fractal structure in thermodynamic functions was recently proposed as a possible origin for non-extensive statistics in physical systems. In the present work, we investigate the properties of such fractal thermodynamical system and propose a diagrammatic method for calculations of relevant quantities related to such a system. It is shown that a system with the fractal structure described here presents temperature fluctuation following an Euler Gamma Function, in accordance with previous works that provided evidence of the connections between those fluctuations and Tsallis statistics. Finally, the scale invariance of the fractal thermodynamical system is discussed in terms of the Callan–Symanzik equation.es_ES
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico: 464898/2014-5, Spanish MINEICO: FPA2015-64041-C2-1-P, SpanishMINEICO: FIS2017-85053-C2-1-P, Junta de Andalucía: Grant FQM-225, and Consolider Ingenio 2010 Programme CPAN: CSD2007-00042.es_ES
dc.rightsAtribución 3.0 España*
dc.subjectFractal structurees_ES
dc.subjectNon-extensive statisticses_ES
dc.subjectTsallis statisticses_ES
dc.subjectScale invariancees_ES
dc.titleFractal Structure and Non-Extensive Statisticses_ES

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Atribución 3.0 España
Except where otherwise noted, this item's license is described as Atribución 3.0 España