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Construction of trajectories of irreversible processes on the basis of equilibrium thermodynamic propositions

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Abstract

The paper is concerned with the problem of macroscopic (unrelated with probability theory) construction of trajectories of irreversible physicochemical processes. The research involves simple and universal principles of conservation, equilibrium and extremality of classical mechanics and thermodynamics. The capabilities of their implementation increase greatly with development of computer engineering and information technologies. Two methods for construction are suggested: (1) a step-by-step method and (2) a method based on statement of the problem solved in one-dimensional graphical circuit variable space. For the implementation of the first method, the steps are chosen so small that the assumptions about the stationarity of motion and the observance of conservative system behavior regularities are made permissible. For intrastep simulation, we use the model of extreme intermediate states developed at the Melentiev Energy Systems Institute. To increase the optimal results of calculations when transitioning from one step to another, the dynamic programming method is applied. The properties of reversible processes in the case of constructing trajectories by the second method are always observed by the potentiality of one-dimensional motion. The need for the use and applicability of the proposed methodical approach is explained by examples.

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Correspondence to Maxim S. Zarodnyuk.

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Kaganovich, B.M., Zarodnyuk, M.S. & Yakshin, S.V. Construction of trajectories of irreversible processes on the basis of equilibrium thermodynamic propositions. J Therm Anal Calorim 133, 1225–1232 (2018). https://doi.org/10.1007/s10973-018-7368-7

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Keywords

  • Extreme trajectory
  • Irreversible process
  • Step-by-step equilibrium modeling
  • Circuit modeling
  • Thermodynamic space
  • One-dimensional potential space