scholarly journals Finding limiting possibilities of thermodynamic systems by optimization

Author(s):  
Stanislaw Sieniutycz ◽  
Anatoly Tsirlin

We consider typical problems of the field called the finite time thermodynamics (also called the optimization thermodynamics). We also outline selected formal methods applied to solve these problems and discuss some results obtained. It is shown that by introducing constraints imposed on the intensity of fluxes and on the magnitude of coefficients in kinetic equations, it is possible not only to investigate limiting possibilities of thermodynamic systems within the considered class of irreversible processes, but also to state and solve problems whose formulation has no meaning in the class of reversible processes. This article is part of the themed issue ‘Horizons of cybernetical physics’.

Entropy ◽  
2020 ◽  
Vol 22 (8) ◽  
pp. 891 ◽  
Author(s):  
Anatoly Tsirlin ◽  
Larisa Gagarina

In this paper, we consider optimal trading processes in economic systems. The analysis is based on accounting for irreversibility factors using the wealth function concept. The existence of the welfare function is proved, the concept of capital dissipation is introduced as a measure of the irreversibility of processes in the microeconomic system, and the economic balances are recorded, including capital dissipation. Problems in the form of kinetic equations leading to given conditions of minimal dissipation are considered.


Entropy ◽  
2020 ◽  
Vol 22 (9) ◽  
pp. 997 ◽  
Author(s):  
Wolfgang Muschik ◽  
Karl Heinz Hoffmann

The connection between endoreversible models of Finite-Time Thermodynamics and the corresponding real running irreversible processes is investigated by introducing two concepts which complement each other: Simulation and Reconstruction. In that context, the importance of particular machine diagrams for Simulation and (reconstruction) parameter diagrams for Reconstruction is emphasized. Additionally, the treatment of internal irreversibilities through the use of contact quantities like the contact temperature is introduced into the Finite-Time Thermodynamics description of thermal processes.


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