Entropy Production in Irreversible Process within the Locally Non-Equilibrium Medium

Abstract

The article describes Brownian motion and transfer processes in a locally non-equilibrium medium using the theory of non-Markovian physical processes. The application of this theory allowed us to derive relationships linking thermodynamic forces and thermodynamic flows for the general case of transfer processes of different physical nature, and also to obtain a formula for calculating entropy production. Besides, correlation functions were found describing the equilibrium and non-equilibrium fluctuations of the thermodynamic flows. The resulting relationships were introduced to describe the entropy production for Brownian motion, diffusion, momentum transport and thermal conductivity. Entropy production was calculated for a general case of the highly non-equilibrium transport processes with the long-term memory. It is shown that with the thermodynamic force harmonic alteration, a regime is being realized at certain time moments, where the entropy production takes the negative value. This means that at these time moments with the appearing irreversible thermodynamic process, no increase, but a decrease in the entropy, is observed. Such an effect should be registered not only with the thermodynamic force harmonic alteration, but also with its other time dependencies. The proposed method for describing transport processes in a locally nonequilibrium environment is applicable to solving a wide range of problems in physical kinetics

Please cite this article in English as:

Morozov A.N. Entropy production in irreversible process within the locally non-equilibrium medium. Herald of the Bauman Moscow State Technical University, Series Natural Sciences, 2026, no. 2 (125), pp. 62--73 (in Russ.). EDN: TPGEHI

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