Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/7680
Title: The third law of thermodynamics and the fractional entropies
Authors: Bağcı, Gökhan Barış
Keywords: Fractal entropies
Third law of thermodynamics
Ising model
Issue Date: 2016
Publisher: Elsevier Science Bv
Abstract: We consider the fractal calculus based Ubriaco and Machado entropies and investigate whether they conform to the third law of thermodynamics. The Ubriaco entropy satisfies the third law of thermodynamics in the interval 0 < q <= 1 exactly where it is also thermodynamically stable. The Machado entropy, on the other hand, yields diverging inverse temperature in the region 0 < q <= 1, albeit with non vanishing negative entropy values. Therefore, despite the divergent inverse temperature behavior, the Machado entropy fails the third law of thermodynamics. We also show that the aforementioned results are also supported by the one-dimensional Ising model with no external field. (C) 2016 Elsevier B.V. All rights reserved.
URI: https://doi.org/10.1016/j.physleta.2016.06.010
https://hdl.handle.net/20.500.11851/7680
ISSN: 0375-9601
1873-2429
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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