Generalized Maxwell Relations in Thermodynamics with Metric Derivatives

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...

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Bibliographic Details
Main Authors: José Weberszpil, Wen Chen
Format: Article
Language:English
Published: MDPI AG 2017-08-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/19/8/407
Description
Summary: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.
ISSN:1099-4300