Next Article in Journal
Quantum Features of Macroscopic Fields: Entropy and Dynamics
Next Article in Special Issue
Efficiency Bounds for Minimally Nonlinear Irreversible Heat Engines with Broken Time-Reversal Symmetry
Previous Article in Journal
Information Geometrical Characterization of Quantum Statistical Models in Quantum Estimation Theory
Previous Article in Special Issue
From Entropy Generation to Exergy Efficiency at Varying Reference Environment Temperature: Case Study of an Air Handling Unit
Open AccessArticle

Thermodynamics and Stability of Non-Equilibrium Steady States in Open Systems

Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 18675 Prague, Czech Republic
Author to whom correspondence should be addressed.
Entropy 2019, 21(7), 704;
Received: 7 June 2019 / Revised: 12 July 2019 / Accepted: 17 July 2019 / Published: 18 July 2019
(This article belongs to the Special Issue Thermodynamic Approaches in Modern Engineering Systems)
Thermodynamical arguments are known to be useful in the construction of physically motivated Lyapunov functionals for nonlinear stability analysis of spatially homogeneous equilibrium states in thermodynamically isolated systems. Unfortunately, the limitation to isolated systems is essential, and standard arguments are not applicable even for some very simple thermodynamically open systems. On the other hand, the nonlinear stability of thermodynamically open systems is usually investigated using the so-called energy method. The mathematical quantity that is referred to as the “energy” is, however, in most cases not linked to the energy in the physical sense of the word. Consequently, it would seem that genuine thermo-dynamical concepts are of no use in the nonlinear stability analysis of thermodynamically open systems. We show that this is not the case. In particular, we propose a construction that in the case of a simple heat conduction problem leads to a physically well-motivated Lyapunov type functional, which effectively replaces the artificial Lyapunov functional used in the standard energy method. The proposed construction seems to be general enough to be applied in complex thermomechanical settings. View Full-Text
Keywords: nonlinear stability; Lyapunov functional; thermodynamics; thermodynamically open systems nonlinear stability; Lyapunov functional; thermodynamics; thermodynamically open systems
Show Figures

Figure 1

MDPI and ACS Style

Bulíček, M.; Málek, J.; Průša, V. Thermodynamics and Stability of Non-Equilibrium Steady States in Open Systems. Entropy 2019, 21, 704.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map

Back to TopTop