A note on maxima and minima of dissipation in context of treatment of irreversible thermodynamic systems by application of Extremal Principles

Publikation: Beitrag in FachzeitschriftArtikelForschungBegutachtung


It is generally accepted that the kinetics of evolution of dissipative systems (e.g. by diffusion) can be treated by Extremal Principles. There is still quite a confusion concerning which extremum (maximum or minimum) of the dissipation corresponds to the system evolution. In the paper it is clearly shown that if the system is in general non-equilibrium state its evolution corresponds to the instantaneous constrained maximum of dissipation. In contrary, if the system reaches its steady state, the dissipation is minimized with respect of all possible ways of system evolution consistent with fixed conditions on its surface. Moreover, the value of the maximal dissipation in most cases decreases to its minimum value when the actual configuration approaches its steady state. Although the results show agreement with the existing literature, the problem is still not sufficiently clarified there.
FachzeitschriftScripta Materialia
PublikationsstatusVeröffentlicht - Aug. 2023

Bibliographische Notiz

Funding Information:
The authors gratefully acknowledge the financial support under the scope of the COMET program within the K2 Center “Integrated Computational Material, Process and Product Engineering (IC-MPPE)” (Project No 886385). This program is supported by the Austrian Federal Ministries for Climate Action, Environment, Energy, Mobility, Innovation and Technology (BMK) and for Digital and Economic Affairs (BMDW), represented by the Austrian Research Promotion Agency (FFG), and the federal states of Styria, Upper Austria and Tyrol.

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© 2023 The Authors

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