Clausius versus Sackur-Tetrode entropies

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dc.contributor.authorOikonomou, Thomas
dc.contributor.authorBagci, G. Baris
dc.date.accessioned2019-10-27T21:52:14Z
dc.date.available2019-10-27T21:52:14Z
dc.date.issued2013
dc.departmentEge Üniversitesien_US
dc.description.abstractBased on the property of extensivity (mathematically, homogeneity of first degree), we derive in a mathematically consistent manner the explicit expressions of the chemical potential mu and the Clausius entropy S for the case of monoatomic ideal gases in open systems within phenomenological thermodynamics. Neither information theoretic nor quantum mechanical statistical concepts are invoked in this derivation. Considering a specific expression of the constant term of S, the derived entropy coincides with the Sackur-Tetrode entropy in the thermodynamic limit. We demonstrate, however, that the former limit is not contained in the classical thermodynamic relations, implying that the usual resolutions of Gibbs paradox do not succeed in bridging the gap between the thermodynamics and statistical mechanics. We finally consider the volume of the phase space as an entropic measure, albeit, without invoking the thermodynamic limit to investigate its relation to the thermodynamic equation of state and observables. (C) 2013 Elsevier Ltd. All rights reserved.en_US
dc.description.sponsorshipTHALES Project MACOMSYS; ESPA Program of the Ministry of Education of Hellasen_US
dc.description.sponsorshipWe thank Sumiyoshi Abe for fruitful discussions and Joshua T. Berryman for corrections in English. T.O. acknowledges partial support by the THALES Project MACOMSYS, funded by the ESPA Program of the Ministry of Education of Hellas.en_US
dc.identifier.doi10.1016/j.shpsb.2013.01.001
dc.identifier.endpage68en_US
dc.identifier.issn1355-2198
dc.identifier.issn1879-2502
dc.identifier.issn1355-2198en_US
dc.identifier.issn1879-2502en_US
dc.identifier.issue2en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage63en_US
dc.identifier.urihttps://doi.org/10.1016/j.shpsb.2013.01.001
dc.identifier.urihttps://hdl.handle.net/11454/47556
dc.identifier.volume44en_US
dc.identifier.wosWOS:000319493600001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Sci Ltden_US
dc.relation.ispartofStudies in History and Philosophy of Modern Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectClausius (thermodynamical)/statistical entropyen_US
dc.subjectGibbs paradoxen_US
dc.subjectExtensivityen_US
dc.subjectThermodynamic limiten_US
dc.titleClausius versus Sackur-Tetrode entropiesen_US
dc.typeArticleen_US

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