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Open AccessArticle

Macroscopic Entropy of Non-Equilibrium Systems and Postulates of Extended Thermodynamics: Application to Transport Phenomena and Chemical Reactions in Nanoparticles

1
Department of Chemistry, Moscow State University, 119992 Moscow, Russia
2
Topchiev Institute of Petrochemical Synthesis, Russian Academy of Sciences, 119991 Moscow, Russia
Entropy 2018, 20(10), 802; https://doi.org/10.3390/e20100802
Received: 18 September 2018 / Revised: 11 October 2018 / Accepted: 16 October 2018 / Published: 18 October 2018
(This article belongs to the Special Issue Entropy: From Physics to Information Sciences and Geometry)
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Abstract

In this work, we consider extended irreversible thermodynamics in assuming that the entropy density is a function of both common thermodynamic variables and their higher-order time derivatives. An expression for entropy production, and the linear phenomenological equations describing diffusion and chemical reactions, are found in the context of this approach. Solutions of the sets of linear equations with respect to fluxes and their higher-order time derivatives allow the coefficients of diffusion and reaction rate constants to be established as functions of size of the nanosystems in which these reactions occur. The Maxwell-Cattaneo and Jeffreys constitutive equations, as well as the higher-order constitutive equations, which describe the processes in reaction-diffusion systems, are obtained. View Full-Text
Keywords: extended irreversible thermodynamics; thermodynamic postulates; linear irreversible thermodynamics; nanosystems; non-classical transport phenomena; diffusion and chemical reactions in nanosystems extended irreversible thermodynamics; thermodynamic postulates; linear irreversible thermodynamics; nanosystems; non-classical transport phenomena; diffusion and chemical reactions in nanosystems
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Serdyukov, S.I. Macroscopic Entropy of Non-Equilibrium Systems and Postulates of Extended Thermodynamics: Application to Transport Phenomena and Chemical Reactions in Nanoparticles. Entropy 2018, 20, 802.

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