Generalization of Prigogine’s theorem for the case of full differential of entropy

Generalization of Prigogine’s theorem for the case of full differential of entropy

In this paper we propose a solution to the problem associated with the presence of an incomplete differential of entropy in Prigogine's theorem on the minimum of entropy production. A generalized theorem on the minimum rate of change of entropy near the stationary state of the system, which is...

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Main Authors: V.I. Shapovalov, N.V. Kazakov
Format: Article
Language:English
Published: Elsevier 2018-01-01
Series:MethodsX
Online Access:http://www.sciencedirect.com/science/article/pii/S2215016118301900
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spelling doaj-bef6f54d0567437a95aa3a4ee08aca8c2020-11-25T01:46:40ZengElsevierMethodsX2215-01612018-01-01516331645Generalization of Prigogine’s theorem for the case of full differential of entropyV.I. Shapovalov0N.V. Kazakov1Moscow Humanitarian-Economical University, Volgograd Branch, Aviators avenue 8, Volgograd, Russia; Corresponding author.Volgograd Gazprom College, University prospect 71, Volgograd, RussiaIn this paper we propose a solution to the problem associated with the presence of an incomplete differential of entropy in Prigogine's theorem on the minimum of entropy production. A generalized theorem on the minimum rate of change of entropy near the stationary state of the system, which is under the influence of the entrostat, is formulated. It is shown that the mathematical expression of the generalized theorem contains the full differential of entropy. • Our new method consists in applying of the statistical criterion for the entropy change in an open system (SCEC) for analyzing the I. • Prigogine’s model in order to generalize the theorem on the minimum entropy production for the case of the total differential of entropy. Method name: Application of the statistical criterion for the entropy change in an open system for analyzing the theorem on the minimum entropy production, Keywords: irreversible processes, theorem on the minimum of entropy production, incomplete entropy differential, open system, entrostathttp://www.sciencedirect.com/science/article/pii/S2215016118301900
collection DOAJ
language English
format Article
sources DOAJ
author V.I. Shapovalov
N.V. Kazakov
spellingShingle V.I. Shapovalov
N.V. Kazakov
Generalization of Prigogine’s theorem for the case of full differential of entropy
MethodsX
author_facet V.I. Shapovalov
N.V. Kazakov
author_sort V.I. Shapovalov
title Generalization of Prigogine’s theorem for the case of full differential of entropy
title_short Generalization of Prigogine’s theorem for the case of full differential of entropy
title_full Generalization of Prigogine’s theorem for the case of full differential of entropy
title_fullStr Generalization of Prigogine’s theorem for the case of full differential of entropy
title_full_unstemmed Generalization of Prigogine’s theorem for the case of full differential of entropy
title_sort generalization of prigogine’s theorem for the case of full differential of entropy
publisher Elsevier
series MethodsX
issn 2215-0161
publishDate 2018-01-01
description In this paper we propose a solution to the problem associated with the presence of an incomplete differential of entropy in Prigogine's theorem on the minimum of entropy production. A generalized theorem on the minimum rate of change of entropy near the stationary state of the system, which is under the influence of the entrostat, is formulated. It is shown that the mathematical expression of the generalized theorem contains the full differential of entropy. • Our new method consists in applying of the statistical criterion for the entropy change in an open system (SCEC) for analyzing the I. • Prigogine’s model in order to generalize the theorem on the minimum entropy production for the case of the total differential of entropy. Method name: Application of the statistical criterion for the entropy change in an open system for analyzing the theorem on the minimum entropy production, Keywords: irreversible processes, theorem on the minimum of entropy production, incomplete entropy differential, open system, entrostat
url http://www.sciencedirect.com/science/article/pii/S2215016118301900
work_keys_str_mv AT vishapovalov generalizationofprigoginestheoremforthecaseoffulldifferentialofentropy
AT nvkazakov generalizationofprigoginestheoremforthecaseoffulldifferentialofentropy
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