تقرير
Consistency of the structure of Legendre transform in thermodynamics with the Kolmogorov-Nagumo average
| العنوان: | Consistency of the structure of Legendre transform in thermodynamics with the Kolmogorov-Nagumo average |
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| المؤلفون: | Scarfone, A. M., Matsuzoe, H., Wada, T. |
| المصدر: | Phys. Lett. A 380, 2022-3028 (2016) |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics Condensed Matter Mathematical Physics |
| مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics, Mathematical Physics |
| الوصف: | We show the robustness of the structure of Legendre transform in thermodynamics against the replacement of the standard linear average with the Kolmogorov-Nagumo nonlinear average to evaluate the expectation values of the macroscopic physical observables. The consequence of this statement is twofold: 1) the relationships between the expectation values and the corresponding Lagrange multipliers still hold in the present formalism; 2) the universality of the Gibbs equation as well as other thermodynamic relations are unaffected by the structure of the average used in the theory. Comment: 15 pages, no figures, Elsart article style |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.physleta.2016.07.012 |
| الوصول الحر: | http://arxiv.org/abs/2206.04414Test |
| رقم الانضمام: | edsarx.2206.04414 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.physleta.2016.07.012 |
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