تقرير
A note on the connection between non-additive entropy and $h$-derivative
| العنوان: | A note on the connection between non-additive entropy and $h$-derivative |
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| المؤلفون: | Kang, Jin-Wen, Shen, Ke-Ming, Zhang, Ben-Wei |
| المصدر: | Entropy 2023, 25(6), 918 |
| سنة النشر: | 2019 |
| المجموعة: | Condensed Matter Nuclear Theory |
| مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics, Nuclear Theory |
| الوصف: | In order to study as a whole a wide part of entropy measures, we introduce a two-parameter non-extensive entropic form with respect to the $h$-derivative, which generalizes the conventional Newton--Leibniz calculus. This new entropy, $S_{h,h'}$, is proved to describe the non-extensive systems and recover several types of well-known non-extensive entropic expressions, such as the Tsallis entropy, the Abe entropy, the Shafee entropy, the Kaniadakis entropy and even the classical Boltzmann--Gibbs one. As a generalized entropy, its corresponding properties are also analyzed. Comment: 9 pages, 1 figure, accepted for publication in Entropy (MDPI) |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.3390/e25060918 |
| URL الوصول: | http://arxiv.org/abs/1905.07706 |
| رقم الأكسشن: | edsarx.1905.07706 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.3390/e25060918 |
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