scholarly journals Finite-Time Thermodynamics in Economics

Entropy ◽  
2020 ◽  
Vol 22 (8) ◽  
pp. 891 ◽  
Author(s):  
Anatoly Tsirlin ◽  
Larisa Gagarina
Keyword(s):  
Finite Time ◽  
Kinetic Equations ◽  
Economic Systems ◽  
Finite Time Thermodynamics ◽  
Function Concept ◽  
Optimal Trading ◽  
Minimal Dissipation

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.

Finite-time thermodynamics: Conditions of minimal dissipation for thermodynamic process with given rate

1998 ◽  
Vol 58 (1) ◽  
pp. 215-223 ◽  
Author(s):  
Anatoly M. Tsirlin ◽  
Valentina A. Mironova ◽  
Sergei A. Amelkin ◽  
Vladimir Kazakov
Keyword(s):  
Finite Time ◽  
Finite Time Thermodynamics ◽  
Thermodynamic Process ◽  
Minimal Dissipation

scholarly journals Finding limiting possibilities of thermodynamic systems by optimization

2017 ◽  
Vol 375 (2088) ◽  
pp. 20160219 ◽  
Author(s):  
Stanislaw Sieniutycz ◽  
Anatoly Tsirlin
Keyword(s):  
Formal Methods ◽  
Finite Time ◽  
Kinetic Equations ◽  
Irreversible Processes ◽  
Finite Time Thermodynamics ◽  
Reversible Processes

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’.

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