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https://hdl.handle.net/20.500.11851/6791
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cantürk, Bilal | - |
dc.contributor.author | Oikonomou, Thomas | - |
dc.contributor.author | Bağcı, Gökhan Barış | - |
dc.date.accessioned | 2021-09-11T15:43:35Z | - |
dc.date.available | 2021-09-11T15:43:35Z | - |
dc.date.issued | 2017 | en_US |
dc.identifier.issn | 0003-4916 | - |
dc.identifier.issn | 1096-035X | - |
dc.identifier.uri | https://doi.org/10.1016/j.aop.2016.12.013 | - |
dc.identifier.uri | https://hdl.handle.net/20.500.11851/6791 | - |
dc.description.abstract | Curado et al. (2016) have recently studied the axiomatic structure and the universality of a three-parameter trace-form entropy inspired by the group-theoretical structure. In this work, we study the group-theoretical entropy S-a,S-b,S-r in the context of the third law of thermodynamics where the parameters {a, b, r} are all independent. We show that this three-parameter entropy expression can simultaneously satisfy the third law of thermodynamics and the three Khinchin axioms, namely continuity, concavity and expansibility only when the parameter b is set to zero. In other words, it is thermodynamically valid only as a two-parameter generalization S-a,S-r. Moreover, the restriction set by the third law i.e., the condition b = 0, is important in the sense that the so obtained two-parameter group-theoretical entropy becomes extensive only when this condition is met. We also illustrate the interval of validity of the third law using the one-dimensional Ising model with no external field. Finally, we show that the S-a,S-r is in the same universality class as that of the Kaniadakis entropy for 0 < r < 1 while it has a distinct universality class in the interval 1 < r < 0. (C) 2016 Elsevier Inc. All rights reserved. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Academic Press Inc Elsevier Science | en_US |
dc.relation.ispartof | Annals of Physics | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Generalized entropies | en_US |
dc.subject | Group theory | en_US |
dc.subject | Third law of thermodynamics | en_US |
dc.subject | Khinchin axioms | en_US |
dc.subject | Extensivity | en_US |
dc.title | Group theory, entropy and the third law of thermodynamics | en_US |
dc.type | Article | en_US |
dc.department | Faculties, Faculty of Engineering, Department of Material Science and Nanotechnology Engineering | en_US |
dc.department | Fakülteler, Mühendislik Fakültesi, Malzeme Bilimi ve Nanoteknoloji Mühendisliği Bölümü | tr_TR |
dc.identifier.volume | 377 | en_US |
dc.identifier.startpage | 62 | en_US |
dc.identifier.endpage | 70 | en_US |
dc.authorid | 0000-0002-7280-5639 | - |
dc.authorid | 0000-0003-4719-3906 | - |
dc.identifier.wos | WOS:000394197800006 | en_US |
dc.identifier.scopus | 2-s2.0-85009290696 | en_US |
dc.institutionauthor | Bağcı, Gökhan Barış | - |
dc.identifier.doi | 10.1016/j.aop.2016.12.013 | - |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.scopusquality | Q1 | - |
item.cerifentitytype | Publications | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
item.languageiso639-1 | en | - |
item.openairetype | Article | - |
Appears in Collections: | Malzeme Bilimi ve Nanoteknoloji Mühendisliği Bölümü / Department of Material Science & Nanotechnology Engineering Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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