Abstract
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.
Highlights
In accordance with the law of increasing entropy, the entropy of a closed system increases for irreversible processes: dS ! 0
Entrostat and statistical criterion for entropy change (SCEC) concepts The concept of the entrostat appeared in order to resolve the crisis in statistical physics that called into question the interpretation of entropy as a measure of disorder
The main argument of the opponents of this interpretation was the fact that statistical physics failed to provide an explanation of the phenomenon of self-organization [8]
Summary
Generalization of Prigogine’s theorem for the case of full differential of entropy. V.I. Kazakovb a Moscow Humanitarian-Economical University, Volgograd Branch, Aviators avenue 8, Volgograd, Russia b Volgograd Gazprom College, University prospect 71, Volgograd, Russia
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