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Open AccessArticle

Generalized Maxwell Relations in Thermodynamics with Metric Derivatives

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Instituto Multidisciplinar–Departamento de Tecnologias e Linguagens, Universidade Federal Rural do Rio de Janeiro, UFRRJ-IM/DTL, Governador Roberto Silveira n/n, Nova Iguaçú, Rio de Janeiro 23890-000, Brazil
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College of Mechanics and Materials, Hohai University, Jiangning District, Fuchengxi Road 8, Nanjing 211100, China
*
Author to whom correspondence should be addressed.
Entropy 2017, 19(8), 407; https://doi.org/10.3390/e19080407
Received: 5 July 2017 / Revised: 25 July 2017 / Accepted: 27 July 2017 / Published: 7 August 2017
(This article belongs to the Special Issue Phenomenological Thermodynamics of Irreversible Processes)
In this contribution, we develop the Maxwell generalized thermodynamical relations via the metric derivative model upon the mapping to a continuous fractal space. This study also introduces the total q-derivative expressions depending on two variables, to describe nonextensive statistical mechanics and also the α -total differentiation with conformable derivatives. Some results in the literature are re-obtained, such as the physical temperature defined by Sumiyoshi Abe. View Full-Text
Keywords: deformed maxwell relations; metric derivatives; fractal continuum; generalized statistical mechanics; Legendre structure deformed maxwell relations; metric derivatives; fractal continuum; generalized statistical mechanics; Legendre structure
MDPI and ACS Style

Weberszpil, J.; Chen, W. Generalized Maxwell Relations in Thermodynamics with Metric Derivatives. Entropy 2017, 19, 407.

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